WO2017221390A1 - Dispositif et procédé d'échantillonnage optique de modèle de rotation - Google Patents

Dispositif et procédé d'échantillonnage optique de modèle de rotation Download PDF

Info

Publication number
WO2017221390A1
WO2017221390A1 PCT/JP2016/068751 JP2016068751W WO2017221390A1 WO 2017221390 A1 WO2017221390 A1 WO 2017221390A1 JP 2016068751 W JP2016068751 W JP 2016068751W WO 2017221390 A1 WO2017221390 A1 WO 2017221390A1
Authority
WO
WIPO (PCT)
Prior art keywords
lasers
laser
spin
phase
interaction
Prior art date
Application number
PCT/JP2016/068751
Other languages
English (en)
Japanese (ja)
Inventor
修平 玉手
聖子 宇都宮
Original Assignee
大学共同利用機関法人情報・システム研究機構
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 大学共同利用機関法人情報・システム研究機構 filed Critical 大学共同利用機関法人情報・システム研究機構
Priority to PCT/JP2016/068751 priority Critical patent/WO2017221390A1/fr
Publication of WO2017221390A1 publication Critical patent/WO2017221390A1/fr

Links

Images

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J11/00—Measuring the characteristics of individual optical pulses or of optical pulse trains
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F3/00—Optical logic elements; Optical bistable devices

Definitions

  • This disclosure realizes sampling of the continuous value phase spin model with a simple configuration.
  • Equation 1 J ij represents an interaction between the spins i and j, and when it is positive, it represents a ferromagnetic interaction, and when it is negative, it represents an antiferromagnetic interaction.
  • ⁇ i and ⁇ j represent the phases of the spins i and j, respectively.
  • Non-Patent Document 1 a plurality of spins of the XY model are made to correspond to a plurality of laser beams in a pseudo manner.
  • a plurality of laser beams are prepared by disposing a mask having a plurality of small holes in the shape of a kagome lattice between two mirrors of a laser resonator. Then, by moving the mirror on the output side of the laser resonator, the amplitude and phase of mutual injection between adjacent laser beams are controlled, and the amplitude and phase of interaction J ij between corresponding spins adjacent to each other. Is implemented. Therefore, by measuring the interference patterns of a plurality of laser beams in the distance, the ground state characteristics (order parameters, etc.) of a plurality of corresponding spin systems can be measured.
  • Non-Patent Document 1 only a ground state of a plurality of spin systems in a triangular lattice shape, a hexagonal lattice shape, or a kagome lattice shape is searched. Therefore, it is impossible to implement a plurality of spin systems having arbitrary connection relations essential for machine learning. It does not describe performing Boltzmann sampling, which is indispensable for physical property research and machine learning.
  • Non-Patent Document 1 only the ground state characteristics (order parameters, etc.) of a plurality of corresponding spin systems are measured by measuring interference patterns in the distance of a plurality of laser beams. Therefore, by measuring the phases of the plurality of laser beams, the phases ⁇ i and ⁇ j of the plurality of corresponding spins in the ground state of the system of the plurality of corresponding spins cannot be measured.
  • the present disclosure implements a plurality of spin systems having arbitrary connection relations indispensable in machine learning in solving a plurality of spin models having phases having continuous values.
  • it aims to execute Boltzmann sampling, which is indispensable for physical property research and machine learning.
  • the interaction between physically located / distant sites is usually large / small.
  • the interaction between physically close / distant sites can be small / large. So, even if the interaction between physically close / distant sites is small / large, the interaction between physically close / distant sites is large / small, and the interaction between physically close / distant sites is small / large. It can be handled.
  • the temperature mounting unit pseudo-mounts the temperature of the plurality of spin systems by controlling the ratio between the amplitude of mutual injection between the plurality of lasers and the amplitude of the noise of the plurality of lasers. It was. Furthermore, the sampling unit measures the phases of a plurality of spins in a ground state or an excited state of a plurality of spin systems by measuring the phases of a plurality of lasers.
  • the present disclosure relates to a laser oscillation control unit that pseudo-corresponds to a plurality of spins having a phase having a continuous value and controls the oscillation of a plurality of lasers having the same oscillation frequency, and the plurality of lasers And controlling the amplitude and phase of the mutual injection between the plurality of spins, an interaction implementation unit that artificially implements the amplitude and phase of the interaction between the plurality of spins, and the amplitude of the mutual injection between the plurality of lasers And a temperature mounting unit that pseudo-mounts the temperature of the plurality of spin systems by controlling a ratio between the amplitude of the noise of the plurality of lasers and the interaction and temperature of the plurality of spin systems Is implemented in a pseudo manner, and the plurality of lasers in the ground state or the excited state of the plurality of spin systems are measured by measuring phases of the plurality of lasers after the lasers reach a steady state.
  • a sampling unit for measuring the phase artificially an optical sampling apparatus for spin model, characterized
  • the present disclosure provides a laser oscillation control step for controlling the oscillation of a plurality of lasers having the same oscillation frequency corresponding to a plurality of spins having a phase having a continuous value, and a mutual relationship between the plurality of lasers.
  • An interaction implementation step for pseudo implementation of the amplitude and phase of the interaction between the plurality of spins by controlling the amplitude and phase of the injection; the amplitude of the mutual injection between the plurality of lasers; By controlling the ratio between the noise amplitudes of the lasers in the temperature, a temperature mounting step for pseudo-mounting the temperatures of the plurality of spin systems, and the interaction and temperature of the plurality of spin systems are simulated.
  • a sampling step of measuring the spin phase artificially a spin model optical sampling method, characterized in that it comprises a.
  • the sampling unit sets a sampling time interval of the plurality of spin phases so as to suppress a correlation between a plurality of samplings of the plurality of spin phases.
  • Spin model optical sampling device sets a sampling time interval of the plurality of spin phases so as to suppress a correlation between a plurality of samplings of the plurality of spin phases.
  • the interaction mounting unit repeats on / off switching operation of mutual injection between the plurality of lasers after the oscillation of the plurality of lasers
  • the sampling unit includes: In the spin model optical sampling device, the phases of the plurality of lasers are measured after the plurality of lasers reach a steady state in the on state of mutual injection between the plurality of lasers.
  • the laser oscillation control unit repeats an on / off switching operation of the oscillations of the plurality of lasers after mutual injection between the plurality of lasers is performed
  • the sampling unit includes: The spin model optical sampling apparatus, wherein the phases of the plurality of lasers are measured after the plurality of lasers reach a steady state in an on state of the plurality of lasers.
  • the absolute frequency of the plurality of lasers is different when the oscillation frequency of the plurality of lasers is different from the oscillation frequency of the phase measurement reference laser.
  • the absolute phases of the plurality of lasers can be estimated even when the oscillation frequencies of the plurality of lasers are different from the oscillation frequency of the phase measurement reference laser.
  • a system of a plurality of spins having arbitrary connection relations indispensable in machine learning is implemented.
  • Essential Boltzmann sampling can be performed.
  • the configuration of the optical sampling device of the present disclosure is shown in FIG.
  • the optical sampling device Q1 of the present disclosure includes lasers L1, L2, and L3, a laser oscillation control unit 1, interaction / temperature mounting units 2-1, 2-2, and 2-3, and a sampling unit 3.
  • the number of lasers is generally plural.
  • Equation 2 As a plurality of spin models having a phase having a continuous value, an XY model in which a plurality of spins are constrained in an XY plane is known (for example, see Non-Patent Document 1).
  • the Hamiltonian H of the XY model is expressed by Equation 2.
  • J ij represents an interaction between the spins i and j, and when it is positive, it represents a ferromagnetic interaction, and when it is negative, it represents an antiferromagnetic interaction.
  • ⁇ i and ⁇ j represent the phases of the spins i and j, respectively.
  • the laser oscillation control unit 1 oscillates a plurality of lasers L1, L2, and L3 that correspond to a plurality of spins having phases ⁇ 1 , ⁇ 2 , and ⁇ 3 taking continuous values and have the same oscillation frequency ⁇ . To control.
  • Interaction / temperature mounting unit 2-1 by controlling the mutual injection of amplitude and phase between the plurality of lasers L1, L2, the amplitude and phase of the interaction J 12 between the plurality of spin artificially
  • the temperature T of the plurality of spin systems is simulated. To implement.
  • Interaction / temperature mounting unit 2-2 by controlling the mutual injection of amplitude and phase between the plurality of laser L2, L3, the amplitude and phase of the interaction J 23 between the plurality of spin artificially
  • the temperature T of the plurality of spin systems is simulated. To implement.
  • Interaction / temperature mounting unit 2-3 by controlling the mutual injection of amplitude and phase between the plurality of lasers L1, L3, the amplitude and phase of the interaction J 13 between the plurality of spin artificially
  • the temperature T of the plurality of spin systems is simulated. To implement.
  • the sampling unit 3 has a plurality of spin-system interactions J 12 , J 23 , J 13 and a temperature T, and after the plurality of lasers L 1, L 2, L 3 have reached a steady state, phase theta 1 of the plurality of lasers L1, L2, L3, ⁇ 2 , by measuring the theta 3, the phase theta 1 of the plurality of spin in the ground state or an excited state of a plurality of spin systems, ⁇ 2, ⁇ 3 Is measured in a pseudo manner.
  • Equation 3 The complex Langevin equation representing the time evolution of a plurality of lasers is represented by Equation 3.
  • dA i represents a complex amplitude change for the signal component of the i th laser
  • dt represents a time change
  • dW i represents a complex Wiener process for the noise component of the i th laser.
  • g (A i ) is an amplification factor of the i-th laser, and is expressed by Equation 4.
  • g 0 represents a small signal gain
  • n 0 represents the number of saturated photons.
  • a i dt represents the complex amplitude change due to stimulated emission for the signal component of the i th laser.
  • ⁇ c is a laser attenuation rate, and is expressed by Equation 5.
  • ⁇ represents the oscillation frequency of the laser
  • Q represents the resonator Q value of the laser.
  • ⁇ and Q have the same value for all lasers. Therefore,-(1/2) ⁇ c
  • a i dt represents a complex amplitude change caused by the resonator loss for the signal component of the i-th laser.
  • ⁇ inj represents the mutual injection rate. Therefore, ( ⁇ inj / 2) J ij A j dt represents a complex amplitude change caused by light injection from the j-th laser to the i-th laser with respect to the signal component of the i-th laser. ( ⁇ inj / 2) ⁇ J ij A j dt represents a complex amplitude change caused by light injection from all lasers other than the i-th laser to the i-th laser with respect to the signal component of the i-th laser. .
  • D represents the diffusion coefficient of the laser amplitude. Therefore, ⁇ (D) dW i represents the complex amplitude change due to amplitude diffusion for the signal component of the i th laser.
  • Equation 6 The potential functions of a plurality of lasers are expressed by Equation 6.
  • H 1- (A) represents a potential function
  • a in bold letters represents a vector representation of complex amplitudes for a plurality of laser signal components
  • a i * represents a complex conjugate of A i .
  • Equation 8 For the signal components of a plurality of lasers, the steady-state distribution function of complex amplitude is expressed by Equation 8 using a potential function, and more specifically by Equation 9.
  • P st (A) represents a distribution function in a steady state
  • C represents a normalization factor.
  • Equation 10 the intensity of mutual injection between the plurality of lasers is low, the intensity of all the lasers is stabilized to the same intensity in the steady state represented by Equation 10 independently.
  • n s denotes the same number of photons steady state.
  • Paideruta the first exp term of number 9 is represented by the number 11 is approximated to (
  • ⁇ represents a ⁇ function
  • C ′ represents a new normalization factor.
  • Equation 13 the distribution function in the steady state is expressed by Equation 13.
  • k B represents a Boltzmann constant
  • T represents a pseudo temperature of a plurality of spin systems
  • Equation 15 the distribution function of the steady state phase is expressed by Equation 15.
  • the bold ⁇ represents the vector representation of the phase for the signal components of the plurality of lasers
  • H ( ⁇ ) represents the Hamiltonian of the XY model, represented by Equation 16.
  • the steady-state distribution function of a plurality of laser systems corresponds to a pseudo Boltzmann distribution of a thermal equilibrium state of a plurality of spin systems.
  • the interaction / temperature mounting units 2-1, 2-2, and 2-3 are mutually injected between the lasers L1, L2, and L3 that are physically close / distant (J ij in Equation 3).
  • the mutual injection (J ij in Equation 3) between the lasers L1, L2, and L3 physically close / distant can be reduced / increased. Therefore, even when the interaction between physically close / distant sites is small / large, the interaction between the physically close / distant sites is overcome by the large / small natural law. It can be handled.
  • the interaction between physically close / distant sites is usually large / small, and not only physical property studies are performed, but the interaction between physically close / distant sites is Machine learning that can be small / large can be performed.
  • the interaction / temperature mounting units 2-1, 2-2, 2-3 have the mutual injection amplitude ( ⁇ inj of Equation 14) between the plurality of lasers L1, L2, L3 and the plurality of lasers L1, L2.
  • the temperature of the system of multiple spins T in Equation 14
  • the sampling unit 3 measures the phases ( ⁇ i of Equation 12) of the plurality of lasers L1, L2, and L3, thereby ground or excited states (H ( ⁇ ) of Equation 16) of the plurality of spin systems.
  • the phase of a plurality of spins ( ⁇ i in Equation 16) can be measured in a pseudo manner. Therefore, it is possible to implement a plurality of spin systems having arbitrary connection relations indispensable in machine learning, and to execute Boltzmann sampling indispensable in physical property research and machine learning.
  • the configuration of the optical sampling device of the first embodiment is shown in FIG.
  • the optical sampling device Q2 of the first embodiment includes slave lasers S1, S2, S3, slave laser oscillation control unit 4, master laser 5, interaction / temperature mounting units 6-1, 6-2, 6-3, slave laser.
  • the optical path units 7-1, 7-2, and 7-3 and the sampling unit 8 are included.
  • the slave laser oscillation control unit 4 controls the oscillation of the plurality of slave lasers S1, S2, and S3 corresponding to a plurality of spins having phases ⁇ 1 , ⁇ 2 , and ⁇ 3 that take continuous values.
  • the master laser 5 oscillates a plurality of slave lasers S1, S2, and S3 having different oscillation frequencies ⁇ 1 , ⁇ 2 , and ⁇ 3 at the same oscillation frequency ⁇ by frequency pull-in in the free-running state.
  • Interaction / temperature mounting section 6-1 by controlling the mutual injection of amplitude and phase between the plurality of slave lasers S1, S2, pseudo amplitude and phase of the interaction J 12 between the plurality of spin And controlling the ratio between the amplitude of mutual injection between the plurality of slave lasers S1 and S2 and the noise amplitude of the plurality of slave lasers S1 and S2, thereby controlling the temperature T of the plurality of spin systems.
  • the inter-slave laser optical path unit 7-1 is an optical path unit between the plurality of slave lasers S1 and S2, and includes an interaction / temperature mounting unit 6-1 on the optical path.
  • Interaction / temperature mounting unit 6-2 by controlling the mutual injection of amplitude and phase between the plurality of slave lasers S2, S3, pseudo amplitude and phase of the interaction J 23 between the plurality of spin And controlling the ratio between the mutual injection amplitude between the plurality of slave lasers S2 and S3 and the noise amplitude of the plurality of slave lasers S2 and S3, thereby controlling the temperature T of the plurality of spin systems.
  • the slave laser optical path unit 7-2 is an optical path unit between the plurality of slave lasers S2 and S3, and includes an interaction / temperature mounting unit 6-2 on the optical path.
  • Interaction / temperature mounting unit 6-3 by controlling the mutual injection of amplitude and phase between the plurality of slave lasers S1, S3, pseudo amplitude and phase of the interaction J 13 between the plurality of spin And controlling the ratio between the mutual injection amplitude between the plurality of slave lasers S1 and S3 and the noise amplitude of the plurality of slave lasers S1 and S3, thereby controlling the temperature T of the plurality of spin systems.
  • the inter-slave laser optical path unit 7-3 is an optical path unit between the plurality of slave lasers S1 and S3, and includes an interaction / temperature mounting unit 6-3 on the optical path.
  • the sampling unit 8 has a plurality of spin-system interactions J 12 , J 23 , J 13 and a temperature T, and after the plurality of slave lasers S 1, S 2, S 3 reach a steady state. phase theta 1 of the plurality of slave lasers S1, S2, S3, ⁇ 2 , ⁇ 3 by measuring the phase theta 1 of the plurality of spin in the ground state or an excited state of a plurality of spin systems, theta 2, ⁇ 3 is measured in a pseudo manner.
  • the interaction / temperature mounting unit is N (N ⁇ 1) / 2.
  • N (N-1) / 2 optical paths are required between the slave lasers.
  • FIG. 3 shows the configuration of the optical sampling device according to the second embodiment.
  • the optical sampling device Q3 of the second embodiment includes laser pulses P1, P2, P3, P4, a mode-locked laser oscillation unit 9, an optical fiber resonator 10, and interaction / temperature mounting units 11-1, 11-2, 11-. 3 includes laser pulse delay units 12-1, 12-2, 12-3 and a sampling unit 13.
  • the mode-locked laser oscillation unit 9 corresponds to a plurality of spins having phases ⁇ 1 , ⁇ 2 , ⁇ 3 , ⁇ 4 taking continuous values in a pseudo manner, and a plurality of laser pulses P 1 having the same oscillation frequency ⁇ , P2, P3, and P4 are oscillated.
  • the optical fiber resonator 10 circulates a plurality of laser pulses P1, P2, P3, and P4 in this order.
  • the spacing between adjacent laser pulses ((P1 and P2 pair), (P2 and P3 pair), (P3 and P4 pair) and (P4 and P1 pair)) is It is 1/4 of the resonance length.
  • the laser pulse delay unit 12-1 provides a delay amount corresponding to one pulse interval, and includes the interaction / temperature mounting unit 11-1 on the optical path.
  • the interaction / temperature mounting unit 11-1 then includes a plurality of laser pulses ((P1 and P2 pair), (P2 and P3 pair), (P3 and P4 pair), and (P4 and P1 pair)).
  • the interaction / temperature implementation unit 11-1 controls the ratio between the amplitude of mutual injection between the plurality of laser pulses (the pair described above in this paragraph) and the noise amplitude of the plurality of laser pulses.
  • the temperature T of a plurality of spin systems is mounted in a pseudo manner.
  • the laser pulse delay unit 12-2 provides a delay amount corresponding to two pulse intervals, and includes an interaction / temperature mounting unit 11-2 on the optical path. Then, the interaction / temperature mounting unit 11-2 includes a plurality of laser pulses ((P1 and P3 pair), (P2 and P4 pair), (P3 and P1 pair), and (P4 and P2 pair)).
  • the interaction / temperature mounting unit 11-2 includes a plurality of laser pulses ((P1 and P3 pair), (P2 and P4 pair), (P3 and P1 pair), and (P4 and P2 pair)).
  • the interaction / temperature mount 11-2 controls the ratio between the amplitude of mutual injection between the multiple laser pulses (pairs described above in this paragraph) and the noise amplitude of the multiple laser pulses.
  • the temperature T of a plurality of spin systems is mounted in a pseudo manner.
  • the laser pulse delay unit 12-3 provides a delay amount corresponding to three pulse intervals, and includes an interaction / temperature mounting unit 11-3 on the optical path. Then, the interaction / temperature mounting unit 11-3 includes a plurality of laser pulses ((P1 and P4 pair), (P2 and P1 pair), (P3 and P2 pair), and (P4 and P3 pair)).
  • the interaction / temperature mounting unit 11-3 includes a plurality of laser pulses ((P1 and P4 pair), (P2 and P1 pair), (P3 and P2 pair), and (P4 and P3 pair)).
  • the interaction / temperature mount 11-3 controls the ratio between the amplitude of the mutual injection between the multiple laser pulses (pairs described above in this paragraph) and the noise amplitude of the multiple laser pulses.
  • the temperature T of a plurality of spin systems is mounted in a pseudo manner.
  • the sampling unit 13 includes a plurality of spin-system interactions J 12 , J 23 , J 34 , J 41 , J 13 , J 24 , J 31 , J 42 , J 14 , J 21 , J 32 , J 43 and temperature.
  • T is implemented in a pseudo manner and the plurality of laser pulses P1, P2, P3, P4 reach a steady state, the phases ⁇ 1 , ⁇ 2 , ⁇ of the plurality of laser pulses P1, P2, P3, P4
  • the phases ⁇ 1 , ⁇ 2 , ⁇ 3 , and ⁇ 4 of the plurality of spins in the ground state or excited state of the plurality of spin systems are measured in a pseudo manner.
  • the number of sites of a plurality of spin systems is N
  • the number of pulses of a plurality of laser pulse systems is required, but only (N ⁇ 1) interaction / temperature mounting sections are required. It is sufficient to provide only (N ⁇ 1) laser pulse delay units.
  • FIG. 4 shows the configuration of the optical sampling device according to the third embodiment.
  • the optical sampling device Q4 of the third embodiment includes laser pulses P1, P2, P3, and P4, a mode-locked laser oscillation unit 14, an optical fiber resonator 15, a spin measurement unit 16, an interaction / temperature mounting unit 17, and a sampling unit 18. Consists of
  • the mode-locked laser oscillation unit 14 corresponds to a plurality of spins having phases ⁇ 1 , ⁇ 2 , ⁇ 3 , ⁇ 4 taking continuous values in a pseudo manner, and a plurality of laser pulses P 1 having the same oscillation frequency ⁇ , P2, P3, and P4 are oscillated.
  • the optical fiber resonator 15 circulates a plurality of laser pulses P1, P2, P3, and P4 in this order.
  • the spacing between adjacent laser pulses ((P1 and P2 pair), (P2 and P3 pair), (P3 and P4 pair) and (P4 and P1 pair)) is It is 1/4 of the resonance length.
  • the spin measurement unit 16 measures complex amplitudes (A 2 , A 3 , A 4 ) of the signal components of the laser pulses P2, P3, and P4.
  • J 12 a 2 + J 13 a 3 + J 14 a 4) give dt (the second term of Equation 3 on the right side).
  • the spin measurement unit 16 measures complex amplitudes (A 1 , A 3 , A 4 in Equation 3 ) for the signal components of the laser pulses P1, P3, and P4.
  • J 21 a 1 + J 23 a 3 + J 24 a 4) give dt (the second term of Equation 3 on the right side).
  • the spin measurement unit 16 measures complex amplitudes (A 1 , A 2 , A 4 in Equation 3 ) for the signal components of the laser pulses P1, P2, and P4.
  • J 31 a 1 + J 32 a 2 + J 34 a 4) give dt (the second term of Equation 3 on the right side).
  • the spin measurement unit 16 measures complex amplitudes (A 1 , A 2 , A 3 in Equation 3 ) for the signal components of the laser pulses P1, P2, and P3.
  • J 41 a 1 + J 42 a 2 + J 43 a 3) give dt (the second term of Equation 3 on the right side).
  • the interaction / temperature mounting unit 17 compares the ratio between the amplitude of mutual injection between the plurality of laser pulses P1, P2, P3, and P4 and the amplitude of noise of the plurality of laser pulses P1, P2, P3, and P4.
  • the temperature T of a plurality of spin systems is mounted in a pseudo manner.
  • the sampling unit 18 includes a plurality of spin-system interactions J 12 , J 23 , J 34 , J 41 , J 13 , J 24 , J 31 , J 42 , J 14 , J 21 , J 32 , J 43 and temperature.
  • T is implemented in a pseudo manner and the plurality of laser pulses P1, P2, P3, P4 reach a steady state, the phases ⁇ 1 , ⁇ 2 , ⁇ of the plurality of laser pulses P1, P2, P3, P4
  • the phases ⁇ 1 , ⁇ 2 , ⁇ 3 , and ⁇ 4 of the plurality of spins in the ground state or excited state of the plurality of spin systems are measured in a pseudo manner.
  • the number of sites of a plurality of spin systems is N
  • the number of pulses of a plurality of laser pulse systems is required, but if only one interaction / temperature mounting unit 17 is provided. It is sufficient, and it is sufficient to provide only one spin measurement unit 16.
  • the principle of the optical sampling device of the fourth embodiment is shown in FIGS.
  • the optical sampling device of the fourth embodiment is an improved version of the optical sampling device Q3 of the second embodiment.
  • a case is considered where a complete graph of a plurality of sites (four in this case) is handled.
  • unnecessary edges may be removed from the complete graph of the plurality of sites.
  • a plurality of sites P1-1, P1-2, and P1-3 that are ferromagnetically connected to each other are prepared as logical first sites.
  • a plurality of sites P2-1, P2-2, P2-3, P2-4, and P2-5 that are ferromagnetically connected to each other are prepared as logical second sites.
  • a plurality of sites P3-1, P3-2, P3-3, P3-4, and P3-5 that are ferromagnetically connected to each other are prepared as a logical third site.
  • a plurality of sites P4-1, P4-2, and P4-3 that are ferromagnetically connected to each other are prepared.
  • Second layer (0, 0, 0) ⁇ P1-1, (0,1,0) ⁇ P1-2, (0,2,0) ⁇ P1-3, (0,0,1) ⁇ P2- 3, (0, 1, 1) ⁇ P2-4, (0, 2, 1) ⁇ P2-5, (0, 0, 2) ⁇ PV-1 (empty site), (0, 1, 2) ⁇ P3-4, (0, 2, 2) ⁇ P3-5, 2nd layer: (1, 0, 0) ⁇ P2-1, (1, 1, 0) ⁇ P3-1, (1, 2, 0) ⁇ P4-1, (1, 0, 1) ⁇ P2-2, (1,1,1) ⁇ P3-2, (1,2,1) ⁇ P4-2, (1, 0, 2) ⁇ PV-2 (empty site), (1,1,2) ⁇ P3-3, (1,2,2) ⁇ P4-3.
  • Interaction between the first and second sites are the J 12, sites adjacent P1-1, interactions between P2-1 is J 12.
  • Interaction between the first and third sites are the J 13, sites adjacent P1-2, the interaction between P3-1, it is J 13.
  • Interaction between the first and fourth sites are the J 14, sites adjacent P1-3, the interaction between P4-1, it is J 14.
  • the interaction between the second and third sites are the J 23, sites adjacent P2-4, the interaction between P3-2, it is J 23.
  • the interaction between the second and fourth sites are the J 24, sites adjacent P2-5, interactions between P4-2 is J 24.
  • Interaction between the third and fourth sites are the J 34, sites adjacent P3-5, the interaction between P4-3, it is J 34.
  • a pulse having a larger X coordinate is only one pulse interval than a pulse having a smaller X coordinate.
  • a pulse having a large Y coordinate is delayed by two pulse intervals from a pulse having a small Y coordinate.
  • the number of sites of a plurality of spin systems is four
  • Six action / temperature mounting units are required (a positive delay amount and a negative delay amount are required for each of the three types of delay amounts), and a laser pulse delay unit. 6 are required.
  • the number of pulses in a plurality of laser pulse systems needs to be 2 (N ⁇ 1) 2 (N is the number of sites.) It is sufficient to provide only six temperature mounting portions (a positive delay amount and a negative delay amount are required for each of three types of delay amounts), and laser pulses are sufficient. It is sufficient to provide only six delay units. That is, the number of laser pulses can be easily increased by adjusting the modulation frequency of the mode-locked laser oscillation unit 9 or the resonance length of the optical fiber resonator 10. However, the number of interaction / temperature mounting units and laser pulse delay units cannot be increased easily unless the apparatus is enlarged and the delay amount is finely adjusted.
  • sampling method of the present disclosure The sampling method and principle of the present disclosure will be described below.
  • the sampling method and principle of the present disclosure are described below for the optical sampling device Q1 shown in FIG. 1, but can also be applied to the optical sampling devices Q2 to Q4 shown in FIGS.
  • the sampling unit 3 is configured to sample the plurality of spin phases ⁇ 1 , ⁇ 2 , and ⁇ 3 so as to suppress the correlation between the plurality of samplings of the plurality of spin phases ⁇ 1 , ⁇ 2 , and ⁇ 3. Set the interval.
  • the time evolution of the order parameter will be described later in detail with reference to FIGS.
  • FIG. 1 A sampling method for repeatedly turning on / off mutual injection according to the present disclosure is shown in FIG.
  • the interaction / temperature mounting units 2-1, 2-2, and 2-3 perform mutual injection between the plurality of lasers L1, L2, and L3 after the oscillation of the plurality of lasers L1, L2, and L3 is performed.
  • the sampling unit 3 performs the phase ⁇ of the plurality of lasers L1, L2, and L3 after the plurality of lasers L1, L2, and L3 reach the steady state in the on state of mutual injection between the plurality of lasers L1, L2, and L3. 1, ⁇ 2, measures the theta 3.
  • the time evolution of the order parameter will be described later in detail with reference to FIGS.
  • FIG. 1 A sampling method for repeatedly turning on / off the laser oscillation of the present disclosure is shown in FIG.
  • the laser oscillation control unit 1 repeats the on / off switching operation of the plurality of lasers L1, L2, and L3 after mutual injection between the plurality of lasers L1, L2, and L3 is performed.
  • the sampling unit 3 is configured to turn on the phases ⁇ 1 , ⁇ of the plurality of lasers L 1, L 2, L 3 after the lasers L 1, L 2, L 3 reach the steady state in the on state of the oscillations of the plurality of lasers L 1, L 2, L 3. 2, to measure the ⁇ 3.
  • the time evolution of the order parameter will be described later in detail with reference to FIGS.
  • the steady state of the plurality of lasers L1, L2, and L3 loses correlation each time the oscillation of the plurality of lasers L1, L2, and L3 is switched on / off, the correlation between the plurality of samplings is obtained. It can be suppressed, and uniform Boltzmann sampling can be performed in a vast spin space. As shown in FIG. 9, sampling may be performed only once in each steady state. As a modification, if the correlation between a plurality of samplings is suppressed, a plurality of samplings may be performed in each steady state. Sampling may be performed.
  • FIG. 10 shows an absolute phase estimation method for a plurality of lasers according to the present disclosure.
  • the absolute phase estimation method of the present disclosure is applicable to the optical sampling devices Q3 and Q4 of the second and third embodiments.
  • the sampling units 13 and 18 in FIGS. 3 and 4 have a plurality of laser pulses P1, P2, P3, and P4 at a time interval in which the time change of the absolute phase of the plurality of laser pulses P1, P2, P3, and P4 is small.
  • the difference between the phase of the laser and the phase of the phase metric laser is measured multiple times.
  • a time interval in which the time change of the absolute phase of the plurality of laser pulses P1, P2, P3, and P4 is small refers to a time interval in which the time change of A i in Equation 3 or ⁇ i in Equation 12 is small, For example, the time interval between the first and second rounds of the optical fiber resonators 10 and 15 in FIGS.
  • the solid line vectors indicating the phases of the plurality of laser pulses P1, P2, P3, and P4 are fixed.
  • the broken line vector indicating the phase of the reference laser is rotating.
  • the rotational speed of the broken line vector is a difference ⁇ between the oscillation angular frequency of the plurality of laser pulses P1, P2, P3, and P4 and the oscillation angular frequency of the phase measurement reference laser.
  • the difference between the phase of the plurality of laser pulses P1, P2, P3, and P4 and the phase of the phase measurement reference laser is expressed by Expression 17.
  • ⁇ k (1) (k is the number of the laser pulse) represents this difference
  • ⁇ k (substantially unchanged in the first and second rounds) represents the absolute phase of the laser pulse
  • ⁇ represents the laser pulse. Represents the interval.
  • Equation 19 the difference ⁇ between the oscillation angular frequency of the laser pulse and the oscillation angular frequency of the laser of the phase measurement reference is expressed by Equation 19. Based on Equations 17 and 19 or 18 and 19, the absolute phase ⁇ k of the laser pulse can be calculated backward.
  • the absolute phases of the plurality of laser pulses P1, P2, P3, and P4 ⁇ 1 , ⁇ 2 , ⁇ 3 , and ⁇ 4 can be estimated.
  • FIG. 11 shows the configuration of an optical sampling device targeted for performance verification.
  • the optical sampling device Q5 targeted for performance verification is a specific example of the optical sampling device Q3 of the second embodiment.
  • the optical sampling device Q5 for performance verification includes a continuous wave laser 19, an optical fiber resonator 20, an erbium-doped optical fiber 21, a pulse amplitude modulation unit 22, a modulation frequency adjustment unit 23, a filter 24, an isolator 25, and a laser pulse delay unit 26. -1, 26-2, pulse delay amount adjusting units 27-1, 27-2, a mutual injection on / off unit 28, and a sampling unit 29.
  • Equation 20 The Hamiltonian H of the XY model of the one-dimensional system that is the target of performance verification is expressed by Equation 20.
  • J represents an interaction between adjacent spins i and i + 1, and represents a ferromagnetic interaction because it is positive.
  • ⁇ i and ⁇ i + 1 represent the phases of the spins i and i + 1, respectively.
  • the continuous wave laser 19 is a light source for stabilizing the optical path length of the laser pulse delay units 26-1 and 26-2, and is a measurement standard for the phases of a plurality of laser pulses.
  • the wavelength of the continuous wave laser 19 is 1550 nm and the line width of the continuous wave laser 19 is ⁇ 30 kHz.
  • the optical fiber resonator 20 guides continuous light from the continuous wave laser 19 and corresponds to the optical fiber resonator 10.
  • the pulse amplitude modulation unit 22 and the modulation frequency adjustment unit 23 determine the frequency of repetition of a plurality of laser pulses as a frequency c / (nL) (c is the speed of light) determined by the resonance length L of the optical fiber resonator 20 and the erbium-doped optical fiber 21.
  • N is a refractive index) and is set to an arbitrary integral multiple of the refractive index.
  • the modulation frequency of the modulation frequency adjusting unit 23 is 0.99 GHz
  • the laser pulse delay units 26-1 and 26-2 are designed to artificially implement an interaction between adjacent spins while branching from the optical fiber resonator 20 and then joining to the optical fiber resonator 20. Further, there is a delay difference corresponding to one pulse interval between the interaction / temperature mounting units 11-1, 11-2, 11-3 and the laser pulse delay units 12-1, 12-2, 12-3. Correspond.
  • the mutual injection on / off unit 28 is a chopper that controls transmission / cutoff of a plurality of laser pulses guided to the laser pulse delay units 26-1 and 26-2, and the interaction / temperature mounting units 11-1 and 11-2. , 11-3.
  • the sampling unit 29 is a detector that measures the absolute phase of a plurality of laser pulses using the continuous wave laser 19 as a phase measurement reference laser, and corresponds to the sampling unit 13.
  • the ground state and excited state of the one-dimensional XY model are shown in FIG.
  • the ground state of the one-dimensional XY model is a state in which adjacent spins are directed in the same direction, and the entire spin system is directed in the same direction.
  • the energy of the ground state of the one-dimensional XY model is expressed by Equation 21.
  • the m-th excited state of the one-dimensional XY model is a state in which adjacent spins face each other in the direction of ⁇ (see Equation 22), and the entire spin system is twisted m times.
  • the energy of the mth excited state of the one-dimensional XY model is expressed by Equation 23.
  • the difference in energy between the m-th excited state and the ground state is expressed by Equation 24 because 2m ⁇ / N in Equation 23 is small.
  • the sampling result of the random state of the one-dimensional XY model is shown in FIG.
  • a plurality of laser pulses are oscillated, but mutual injection between the plurality of laser pulses is not performed.
  • the amplitudes of 100 laser pulses are random to each other. Therefore, it can be seen that a random state in which the entire spin system faces a random direction is sampled.
  • FIG. 14 shows the sampling result of the ground state of the one-dimensional XY model.
  • a plurality of laser pulses are oscillated, and mutual injection between the plurality of laser pulses is performed.
  • the amplitude of 100 laser pulses is almost the maximum
  • the amplitude of 100 laser pulses is almost 0. Therefore, it can be seen that the ground state in which the entire spin system faces the same direction is sampled.
  • the sampling result of the excited state of the one-dimensional XY model is shown in FIG.
  • a plurality of laser pulses are oscillated, and mutual injection between the plurality of laser pulses is performed.
  • the amplitude of 100 laser pulses draws a sine curve for one cycle
  • the Quadrature component the amplitude of 100 laser pulses draws a cosine curve for one cycle. Therefore, it can be seen that the first excited state in which the entire spin system is twisted once is sampled.
  • the difference between the case where m is positive and the case where m is negative indicates that the spin twist is the same, but the spin twist direction is opposite.
  • 17 and 18 show the time lapse of the sampling in which the mutual injection is repeatedly turned on / off.
  • the dark solid line represents the average of the amplitude of the In-plane component with respect to the relative phase between adjacent pulses in 100 laser pulses.
  • the thin solid line shows the average of the amplitude of the quadrature component for the relative phase between adjacent pulses in 100 laser pulses.
  • the dark solid line shows the average amplitude of the In-plane component with respect to the relative phase between adjacent pulses in 100 laser pulses.
  • the thin solid line shows the average amplitude of the quadrature component for the relative phase between adjacent pulses in 100 laser pulses.
  • the broken line indicates the rise of the light intensity in the laser pulse delay units 26-1 and 26-2.
  • the transition time to the steady state is ⁇ 0.3 ms, which corresponds to 3000 turns of the optical fiber resonator 20 and the erbium-doped optical fiber 21.
  • the right diagram in FIG. 18 shows the time elapsed for returning to the random state when the mutual injection is switched from on to off.
  • the dark solid line shows the average amplitude of the In-plane component with respect to the relative phase between adjacent pulses in 100 laser pulses.
  • the thin solid line shows the average amplitude of the quadrature component for the relative phase between adjacent pulses in 100 laser pulses.
  • the broken line indicates the fall of the light intensity in the laser pulse delay units 26-1 and 26-2.
  • the phase diffusion coefficient of Equation 14 is estimated as D ⁇ ⁇ 1 to 1 ms
  • the pseudo inverse temperature of Equation 14 is estimated as ⁇ to 150.
  • the spin model optical sampling apparatus and method of the present disclosure implements a Boltzmann sampling that is indispensable in physical property research and machine learning, as well as implementing a plurality of spin systems having arbitrary connection relationships indispensable in machine learning. Can do.
  • Optical sampling devices L1, L2, L3: Lasers S1, S2, S3: Slave lasers P1, P2, P3, P4: Laser pulses 1: Laser oscillation control units 2-1, 2- 2, 2-3: Interaction / temperature mounting unit 3: Sampling unit 4: Slave laser oscillation control unit 5: Master lasers 6-1, 6-2, 6-3: Interaction / temperature mounting units 7-1, 7 -2, 7-3: Optical path section between slave lasers 8: Sampling section 9: Mode-locked laser oscillation section 10: Optical fiber resonators 11-1, 11-2, 11-3: Interaction / temperature mounting section 12-1 12-2, 12-3: laser pulse delay unit 13: sampling unit 14: mode-locked laser oscillation unit 15: optical fiber resonator 16: spin measurement unit 17: interaction / temperature mounting unit 18: sampling unit 19: continuous Laser 20: optical fiber resonator 21: erbium-doped optical fiber 22: pulse amplitude modulation unit 23: modulation frequency adjustment

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Nonlinear Science (AREA)
  • Optics & Photonics (AREA)
  • Lasers (AREA)
  • Optical Modulation, Optical Deflection, Nonlinear Optics, Optical Demodulation, Optical Logic Elements (AREA)

Abstract

La présente invention concerne un dispositif d'échantillonnage optique de modèle de rotation Q1 caractérisé en ce qu'il comporte : une unité de commande d'oscillation laser (1) pour commander l'oscillation d'une pluralité de lasers L qui possèdent la même fréquence d'oscillation et sont artificiellement amenés à correspondre à une pluralité de rotations possédant des phases possédant des valeurs continues ; une unité de mise en œuvre d'interaction (2) pour mettre en œuvre artificiellement la phase et l'amplitude de l'interaction mutuelle entre la pluralité de rotations par commande de l'amplitude et de la phase de l'injection mutuelle entre une pluralité de lasers L ; une unité de mise en œuvre de température (2) pour mettre en œuvre artificiellement les températures d'une pluralité de systèmes de rotation en commandant le rapport entre l'amplitude de l'injection mutuelle entre la pluralité de lasers L et les amplitudes de bruit de la pluralité de lasers L ; et une unité d'échantillonnage (3) pour mesurer artificiellement les phases de la pluralité de rotations à l'état fondamental ou un état excité de la pluralité de systèmes de rotation en mesurant les phases de la pluralité de lasers L après que l'interaction et la température de la pluralité de systèmes de rotation ont été artificiellement mises en œuvre et que la pluralité de lasers L ont atteint un état stable.
PCT/JP2016/068751 2016-06-24 2016-06-24 Dispositif et procédé d'échantillonnage optique de modèle de rotation WO2017221390A1 (fr)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PCT/JP2016/068751 WO2017221390A1 (fr) 2016-06-24 2016-06-24 Dispositif et procédé d'échantillonnage optique de modèle de rotation

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PCT/JP2016/068751 WO2017221390A1 (fr) 2016-06-24 2016-06-24 Dispositif et procédé d'échantillonnage optique de modèle de rotation

Publications (1)

Publication Number Publication Date
WO2017221390A1 true WO2017221390A1 (fr) 2017-12-28

Family

ID=60783885

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/JP2016/068751 WO2017221390A1 (fr) 2016-06-24 2016-06-24 Dispositif et procédé d'échantillonnage optique de modèle de rotation

Country Status (1)

Country Link
WO (1) WO2017221390A1 (fr)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2014134710A (ja) * 2013-01-11 2014-07-24 Research Organization Of Information & Systems イジングモデルの量子計算装置及びイジングモデルの量子計算方法
JP2015114354A (ja) * 2013-12-09 2015-06-22 大学共同利用機関法人情報・システム研究機構 イジングモデルの量子計算装置
WO2015156126A1 (fr) * 2014-04-11 2015-10-15 大学共同利用機関法人情報・システム研究機構 Dispositif de calcul quantique pour modèle d'ising, dispositif de calcul parallèle quantique pour modèle d'ising, et procédé de calcul quantique pour modèle d'ising

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2014134710A (ja) * 2013-01-11 2014-07-24 Research Organization Of Information & Systems イジングモデルの量子計算装置及びイジングモデルの量子計算方法
JP2015114354A (ja) * 2013-12-09 2015-06-22 大学共同利用機関法人情報・システム研究機構 イジングモデルの量子計算装置
WO2015156126A1 (fr) * 2014-04-11 2015-10-15 大学共同利用機関法人情報・システム研究機構 Dispositif de calcul quantique pour modèle d'ising, dispositif de calcul parallèle quantique pour modèle d'ising, et procédé de calcul quantique pour modèle d'ising

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
SHUHEI TAMATE ET AL.: "Mode Doki fiber laser o mochiita XY spin model simulator, Dai 29 Kai hikari tsushin system symposium mirai o tsukuru joho gijutsu to hikari tsushin program & Koen yokoshu", vol. 40, December 2015 (2015-12-01) *
YOSHITAKA HARIBARA ET AL.: "A coherent Ising machine for maximum cut problems : Performance evaluation against semidefinite programming relaxation and simulated annealing", 29 February 2016 (2016-02-29), pages 1 - 10, XP055601910 *

Similar Documents

Publication Publication Date Title
Du et al. Narrowband biphoton generation near atomic resonance
Inagaki et al. Large-scale Ising spin network based on degenerate optical parametric oscillators
US11170317B2 (en) Procedure for systematic tune up of crosstalk in a cross-resonance gate and system performing the procedure and using results of the same
JP6429346B2 (ja) イジングモデルの量子計算装置
Souza et al. Robust dynamical decoupling
JP6143325B2 (ja) イジングモデルの量子計算装置及びイジングモデルの量子計算方法
JP6255087B2 (ja) イジングモデルの量子計算装置、イジングモデルの量子並列計算装置及びイジングモデルの量子計算方法
Simpson et al. Linewidth sharpening via polarization-rotated feedback in optically injected semiconductor laser oscillators
Koyama et al. Asymptotic tails of massive scalar fields in a Schwarzschild background
WO2012118064A1 (fr) Procédé et dispositif de calcul quantique de modèle d'ising
Merkel et al. Generation and detection of NOON states in superconducting circuits
JP2018511864A (ja) 量子情報処理のための振動子制御の技術ならびに関連するシステムおよび方法
Wang et al. Engineering superpositions of coherent states in coherent optical pulses through cavity-assisted interaction
JP6260896B2 (ja) イジングモデルの量子計算装置
Chen et al. Optical coherent transients in cold atoms: From free-induction decay to optical precursors
Sajjad et al. Observation of the quantum boomerang effect
Li et al. Generation of pure continuous-variable entangled cluster states of four separate atomic ensembles in a ring cavity
Muschik et al. Quantum teleportation of dynamics and effective interactions between remote systems
WO2017221390A1 (fr) Dispositif et procédé d'échantillonnage optique de modèle de rotation
Qu et al. Optomechanical ramsey interferometry
Lepri et al. Symmetry breaking and restoring wave transmission in diode-antidiode double chains
Roy Bardhan et al. Dynamical decoupling in optical fibers: Preserving polarization qubits from birefringent dephasing
WO2018044363A3 (fr) Procédés et appareil pour des lasers sur puce à verrouillage de mode
Zhao et al. Superexponential behaviors of out-of-time ordered correlators and Loschmidt echo in a non-Hermitian interacting system
Wang et al. Continuous-variable controlled-Z gate using an atomic ensemble

Legal Events

Date Code Title Description
121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 16906307

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: DE

122 Ep: pct application non-entry in european phase

Ref document number: 16906307

Country of ref document: EP

Kind code of ref document: A1

NENP Non-entry into the national phase

Ref country code: JP