CN115392469A - Quantum line mapping method and system based on dynamic deep search and electronic equipment - Google Patents

Quantum line mapping method and system based on dynamic deep search and electronic equipment Download PDF

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CN115392469A
CN115392469A CN202210981388.2A CN202210981388A CN115392469A CN 115392469 A CN115392469 A CN 115392469A CN 202210981388 A CN202210981388 A CN 202210981388A CN 115392469 A CN115392469 A CN 115392469A
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周祥臻
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Beijing Zhongke Arc Quantum Software Technology Co ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06NCOMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
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Abstract

The invention relates to the technical field of quantum line mapping, in particular to a quantum line mapping method, a quantum line mapping system and electronic equipment based on dynamic deep search, wherein the method comprises the following steps: initializing a state in a search space, obtaining a current state containing a physical quantum circuit and an input logical quantum circuit to be mapped, obtaining a second physical quantum circuit, obtaining a sub-state corresponding to the second physical quantum circuit, and obtaining a plurality of sub-states by changing a specified quantum operation; performing state evaluation on each sub-state to obtain a state evaluation result of each sub-state; updating the states in the search space except all the sub-states according to all the state evaluation results; a new state is selected from the search space as the current state until the physical quantum circuit meeting the output condition converts the quantum circuit mapping problem into a search process, and a solution with better quality, namely less mapping redundancy is found through high-depth search, so that the efficiency is high.

Description

Quantum line mapping method and system based on dynamic deep search and electronic equipment
Technical Field
The invention relates to the technical field of quantum line mapping, in particular to a quantum line mapping method, a quantum line mapping system and electronic equipment based on dynamic deep search.
Background
Physical qubits in quantum computers directly present connectivity constraints, which manifest themselves in that only two-qubit quantum operations can be performed between particular pairs of physical qubits. Therefore, before executing a quantum program in a quantum computer, it is necessary to map an input logical quantum wire to a physical quantum wire that conforms to connectivity restrictions of the corresponding quantum computer, and the quantum wires before and after mapping are functionally equivalent. Generally, a logical quantum wire can be mapped into a plurality of physical quantum wires, and the redundancy introduced by different mapping results is different, and the degree of redundancy directly affects the precision of quantum wire execution. Thus, in addition to the need to find a physical quantum wire that satisfies the conditions, the quantum wire mapping algorithm also needs to make the redundancy introduced by the wire as small as possible.
Disclosure of Invention
The invention provides a quantum line mapping method, a quantum line mapping system and electronic equipment based on dynamic deep search, aiming at the defects of the prior art.
The invention discloses a quantum line mapping method based on dynamic deep search, which adopts the technical scheme as follows:
s1, initializing a state in a search space to obtain the current state of a logical quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logical quantum line;
s2, adding appointed quantum operation to the physical quantum circuit contained in the current state to obtain a first physical quantum circuit, updating the first physical quantum circuit according to the logic quantum circuit contained in the current state to obtain a second physical quantum circuit, obtaining a sub-state corresponding to the second physical quantum circuit, and obtaining a plurality of sub-states by changing the appointed quantum operation;
s3, performing state evaluation on each sub-state to obtain a state evaluation result of each sub-state;
s4, updating the states except all the sub-states in the search space according to all the state evaluation results;
and S5, selecting a new state from the search space as the current state, and returning to execute the S2 until the physical quantum line meets the output condition.
The quantum line mapping method based on dynamic depth search has the following beneficial effects:
the method can convert the quantum line mapping problem into a searching process, finds a solution with better quality, namely less mapping redundancy through high-depth searching, balances solving time through dynamic control of the searching depth, and is high in efficiency.
The invention discloses a quantum line mapping system based on dynamic depth search, which adopts the technical scheme as follows:
the system comprises an initialization module, an addition acquisition module, an evaluation module, an update module and a repeated execution output module;
the initialization module is configured to: initializing a state in a search space to obtain the current state of a logic quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logic quantum line;
the addition acquisition module is used for: adding a specified quantum operation to the physical quantum wires contained in the current state to obtain a first physical quantum wire, updating the first physical quantum wire according to the logical quantum wires contained in the current state to obtain a second physical quantum wire, obtaining a sub-state corresponding to the second physical quantum wire, and obtaining a plurality of sub-states by changing the specified quantum operation;
the evaluation module is to: performing state evaluation on each substate to obtain a state evaluation result of each substate;
the update module is to: updating the states except all the sub-states in the search space according to all the state evaluation results;
the repeated execution output module is used for: and selecting a new state from the search space as the current state, and repeatedly calling the adding acquisition module, the evaluation module and the updating module until the physical quantum line meets the output condition.
The quantum line mapping system based on dynamic depth search has the following beneficial effects:
the quantum line mapping problem can be converted into a searching process, a solution which is better, namely less in mapping redundancy is found through high-depth searching, meanwhile, the solution time is balanced through dynamic control over the searching depth, and the efficiency is high.
A storage medium of the present invention stores instructions, and when the instructions are read by a computer, the instructions cause the computer to execute a quantum wire mapping method based on dynamic depth search according to any one of the above.
An electronic device of the present invention includes a processor and the storage medium, where the processor executes instructions in the storage medium.
Drawings
Fig. 1 is a schematic flowchart of a quantum wire mapping method based on dynamic depth search according to an embodiment of the present invention;
FIG. 2 illustrates one of the schematic diagrams of the circuit;
FIG. 3 is a second schematic diagram of an exemplary circuit;
FIG. 4 is a third schematic diagram of an exemplary circuit;
FIG. 5 is a schematic diagram of qubit mapping;
FIG. 6 is a schematic diagram of a logical quantum wire;
FIG. 7 is a schematic diagram of a physical quantum wire;
fig. 8 is a schematic structural diagram of a quantum wire mapping system based on dynamic depth search according to an embodiment of the present invention.
Detailed Description
As shown in fig. 1, a quantum wire mapping method based on dynamic depth search according to an embodiment of the present invention includes the following steps:
s1, initializing a state in a search space to obtain the current state of a logical quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logical quantum line;
s2, adding appointed quantum operation to the physical quantum circuit contained in the current state to obtain a first physical quantum circuit, updating the first physical quantum circuit according to the logical quantum circuit contained in the current state to obtain a second physical quantum circuit, obtaining a sub-state corresponding to the second physical quantum circuit, and obtaining a plurality of sub-states by changing the appointed quantum operation;
s3, performing state evaluation on each sub-state to obtain a state evaluation result of each sub-state;
s4, updating the states except all the sub-states in the search space according to all the state evaluation results;
and S5, selecting a new state from the search space as the current state, and returning to execute the S2 until the physical quantum line meets the output condition.
It should be noted that, when S2 is executed for the first time, the logical quantum wire included in the current state in S2 is the input logical quantum wire, and when S2 is executed for the second time and S2 is executed subsequently, the logical quantum wire included in the current state in S2 is the logical quantum wire updated by S5.
The "state" is set forth as follows:
the construction process of a physical quantum wire can be seen as a search process in a tree space, which can be expressed as
Figure 170521DEST_PATH_IMAGE001
In which
Figure 618820DEST_PATH_IMAGE002
And
Figure 460874DEST_PATH_IMAGE003
representing a set of states and a set of edges in space, respectively. Each state in the space consists of a logical quantum wire, a physical quantum wire, a quantum bit map, two estimates (local and global), access times statistics, which can be denoted as
Figure 652821DEST_PATH_IMAGE004
. In addition, the state
Figure 30975DEST_PATH_IMAGE005
A sub-state of
Figure 915754DEST_PATH_IMAGE006
Is equivalent to the direction
Figure 979525DEST_PATH_IMAGE007
In the introduction of a switching operation and in accordance with this switchingOperation update
Figure 709584DEST_PATH_IMAGE008
To obtain
Figure 440779DEST_PATH_IMAGE006
Corresponding to
Figure 230881DEST_PATH_IMAGE009
Specific construction details will be described later. Wherein, will
Figure 14904DEST_PATH_IMAGE010
In
Figure 548653DEST_PATH_IMAGE011
Respectively assigning a determined value to obtain a current state.
The specified quantum operation is a swap gate that acts on a particular qubit pair as determined by the qubit computer architecture diagram, e.g., for FIG. 3, the particular qubit pair includes two pairs
Figure 868776DEST_PATH_IMAGE012
The process of adding a designated quantum operation to a physical quantum circuit is the prior art and is not described in detail;
wherein, the process of updating the first physical quantum wire according to the logic quantum wire contained in the current state to obtain the second physical quantum wire is as follows:
the executable quantum operation in the logical quantum wire contained in the current state is added to the first physical quantum wire, resulting in a second physical quantum wire.
The process of obtaining a sub-state corresponding to the second physical quantum circuit is the prior art and will not be described again. The specific implementation process of obtaining multiple sub-states by changing the specified quantum operations:
adding different specified quantum operations to the physical quantum wires contained in the current state to obtain a plurality of first physical quantum wires, updating each first physical quantum wire according to the logical quantum wires contained in the current state to obtain a plurality of second physical quantum wires, and obtaining a sub-state corresponding to each second physical quantum wire to obtain a plurality of sub-states;
wherein the designated quantum operations are changed according to different quantum computer structure patterns.
Wherein the state evaluation result of any sub-state comprises: in S3, the specific implementation process of performing state estimation on each sub-state to obtain a state estimation result of each sub-state includes:
s30, obtaining the difference value between the number of the quantum operations in the logic quantum circuit contained in the current state and the number of the quantum operations in the logic quantum circuit contained in any sub-state
Figure 564200DEST_PATH_IMAGE013
S31, extracting two quantum bit quanta operations with the shortest distance of the 0 th layer in any sub-state;
s32, utilization of
Figure 602563DEST_PATH_IMAGE014
Calculating to obtain a global estimate
Figure 940003DEST_PATH_IMAGE015
(ii) a Obtaining the state evaluation result of any sub-state as
Figure 350518DEST_PATH_IMAGE016
And repeatedly executing S30-S32 to obtain the state evaluation result of each sub-state.
The pseudo code of the state evaluation Evaluate is as follows:
1.
Figure 482422DEST_PATH_IMAGE017
middle quantum exerciseThe number of the operations is equal to or greater than the total number of the operations,
Figure 742503DEST_PATH_IMAGE018
the number of medium quantum operations;
2.
Figure 618055DEST_PATH_IMAGE019
3.
Figure 647191DEST_PATH_IMAGE020
performing quantum operation on two quantum bits with the shortest distance in the middle 0 layer;
4.
Figure 215575DEST_PATH_IMAGE021
5. return to
Figure 467346DEST_PATH_IMAGE022
Step 1 in the pseudo code corresponds to step 2, step 3 corresponds to step 31, and steps 4 to 5 correspond to step 32.
In S4, updating the states in the search space except all the sub-states according to all the state evaluation results, which specifically includes:
s40, extracting the sub-state corresponding to the maximum global evaluation value
Figure 881010DEST_PATH_IMAGE006
S41, judging whether to use
Figure 30231DEST_PATH_IMAGE023
If yes, the program is exited without updating, and if not, S42 is executed;
s42, updating the global estimation of S to
Figure 238359DEST_PATH_IMAGE024
S43, handle
Figure 207452DEST_PATH_IMAGE006
Is updated to
Figure 955965DEST_PATH_IMAGE005
Handle for bicycle
Figure 694114DEST_PATH_IMAGE005
Is updated to
Figure 840186DEST_PATH_IMAGE005
If in the parent state of
Figure 296576DEST_PATH_IMAGE025
If not, the program is exited, and if not, S41 is executed. The pseudo code is:
inputting: search tree
Figure 317621DEST_PATH_IMAGE026
Update the initial state
Figure 175856DEST_PATH_IMAGE005
Coefficient of attenuation
Figure 256944DEST_PATH_IMAGE027
1.
Figure 935050DEST_PATH_IMAGE028
Global valuation in all substates
Figure 258322DEST_PATH_IMAGE029
A maximum sub-state;
2. if it is not
Figure 971063DEST_PATH_IMAGE030
If yes, the program is exited;
3.
Figure 223053DEST_PATH_IMAGE031
4.
Figure 654034DEST_PATH_IMAGE032
if in the parent state of
Figure 16882DEST_PATH_IMAGE033
If yes, the program is exited;
5. entering the step 2;
in the pseudo code, step 1 corresponds to S40, step 2 corresponds to S41, step 3 corresponds to S42, and step 4 and step 5 correspond to S43.
And S5, selecting a new state from the search space as a current state, and returning to execute S2 until the physical quantum wire meets the output condition. Specifically, the method comprises the following steps:
s50, extracting an initial state of a search space;
s51, extracting all sub-states of the initial state;
s52, if the number of all the sub-states is zero, namely, the sub-states do not exist, outputting an initial state as a selected new state, and if the number of all the sub-states is not zero, executing S53;
s53, according to
Figure 584130DEST_PATH_IMAGE034
A new sub-state is selected from the sub-states of the initial state, and the new sub-state is set as a new initial state to proceed to S51.
Inputting: search tree
Figure 7021DEST_PATH_IMAGE035
Update the initial state
Figure 161184DEST_PATH_IMAGE005
Coefficient of exploration
Figure 327723DEST_PATH_IMAGE036
1.
Figure 15057DEST_PATH_IMAGE037
The set of all of the sub-states,
Figure 608849DEST_PATH_IMAGE038
2. if it is not
Figure 748843DEST_PATH_IMAGE039
Then return to
Figure 453494DEST_PATH_IMAGE005
3.
Figure 753589DEST_PATH_IMAGE040
Entering step 1;
step 1 in the above pseudo code corresponds to S50 and S51, step 2 corresponds to S52, and step 3 corresponds to S53. The output conditions specifically refer to: a physical quantum wire is found that complies with the corresponding quantum computer connectivity constraints and is functionally equivalent to the incoming logical quantum wire.
The quantum line mapping problem can be converted into a searching process, a solution which is better, namely less in mapping redundancy is found through high-depth searching, meanwhile, the solution time is balanced through dynamic control over the searching depth, and the efficiency is high.
The invention aims to design a quantum wire mapping algorithm, which is equivalent to a search process in a tree space and can be divided into the following six parts: main program, deep search, search tree expansion, state evaluation, search tree update and search tree decision, wherein the main program refers to: a main program of a quantum wire mapping algorithm; the depth search refers to: extracting a state to be expanded of a search tree through deep search, wherein the expansion of the search tree refers to: opening a state to be expanded of the search tree to obtain a plurality of sub-states of the state to be expanded; the state evaluation means: evaluating the quality of the new open state; the search tree updating means: updating the evaluation values of other states in the search space along a specific path; the search tree decision means: the redundant state of the search space is deleted, and the algorithm efficiency is improved;
in addition, the algorithm also needs to preset the following parameters:
1) Coefficient of attenuation
Figure 252703DEST_PATH_IMAGE041
To represent searchAttenuation strength of a state evaluation value in a cable tree updating process;
2) Number of iterations
Figure 145573DEST_PATH_IMAGE042
Representing the iteration times of the depth search module;
3) Coefficient of exploration
Figure 388335DEST_PATH_IMAGE043
Representing the access tendency of the deep search module to the new state;
the specific explanation of the main program, the deep search, the search tree expansion, the state evaluation, the search tree update and the search tree decision is as follows:
1) Searching the tree:
in the present invention, the construction process of the physical quantum wire can be regarded as a search process in a tree space, which can be expressed as
Figure 50261DEST_PATH_IMAGE044
Wherein
Figure 985856DEST_PATH_IMAGE002
And
Figure 601907DEST_PATH_IMAGE003
representing a set of states and a set of edges in space, respectively. Each state in the space consists of a logical quantum wire, a physical quantum wire, a quantum bit map, two estimates (local and global), access times statistics, which can be denoted as
Figure 648361DEST_PATH_IMAGE045
. In addition, the state
Figure 430372DEST_PATH_IMAGE005
Is equivalent to a sub-state of
Figure 271289DEST_PATH_IMAGE007
Introducing a switching operation and switching according to the switching operationChange operation update
Figure 873172DEST_PATH_IMAGE046
To obtain
Figure 988895DEST_PATH_IMAGE006
Corresponding to
Figure 389527DEST_PATH_IMAGE047
Specific construction details will be described later.
2) The pseudo code of the Main program Main of the line mapping is as follows:
inputting: quantum computer structure diagram
Figure 666925DEST_PATH_IMAGE048
Logic quantum circuit
Figure 756104DEST_PATH_IMAGE049
Initial qubit mapping
Figure 144360DEST_PATH_IMAGE050
Coefficient of attenuation
Figure 900963DEST_PATH_IMAGE051
Number of iterations
Figure 83683DEST_PATH_IMAGE052
Coefficient of exploration
Figure 161622DEST_PATH_IMAGE053
1.,
Figure 87990DEST_PATH_IMAGE054
The empty-capacity sub-line is connected with the load,
Figure 433521DEST_PATH_IMAGE055
2.
Figure 52721DEST_PATH_IMAGE056
3.
Figure 850913DEST_PATH_IMAGE057
4. if it is not
Figure 846550DEST_PATH_IMAGE058
If the number of intermediate quantum operations is 0, then return
Figure 816561DEST_PATH_IMAGE007
5.
Figure 341084DEST_PATH_IMAGE059
6. If it is used
Figure 892151DEST_PATH_IMAGE060
Entering step 9;
7.
Figure 425900DEST_PATH_IMAGE061
8.
Figure 746023DEST_PATH_IMAGE062
entering step 6;
9.
Figure 707026DEST_PATH_IMAGE063
entering step 4;
wherein, the input: search tree
Figure 981275DEST_PATH_IMAGE064
Update the initial state
Figure 53136DEST_PATH_IMAGE005
Coefficient of exploration
Figure 227765DEST_PATH_IMAGE036
Figure 359669DEST_PATH_IMAGE065
The set of all of the sub-states,
Figure 619749DEST_PATH_IMAGE066
if it is used
Figure 495301DEST_PATH_IMAGE067
Then return to
Figure 524437DEST_PATH_IMAGE005
Figure 325778DEST_PATH_IMAGE068
Entering step 1;
3) The pseudo code for the deep Search is as follows:
inputting: search tree
Figure 73154DEST_PATH_IMAGE069
Update the initial state
Figure 486818DEST_PATH_IMAGE005
Coefficient of exploration
Figure 636039DEST_PATH_IMAGE036
1.
Figure 109746DEST_PATH_IMAGE070
The set of all of the sub-states,
Figure 344418DEST_PATH_IMAGE071
2. if it is used
Figure 328817DEST_PATH_IMAGE072
Then return to
Figure 332545DEST_PATH_IMAGE005
3.
Figure 242732DEST_PATH_IMAGE073
Entering step 1;
4) The pseudocode for search tree extension Open is as follows:
1.
Figure 964701DEST_PATH_IMAGE074
2. if it is not
Figure 985746DEST_PATH_IMAGE075
Entering step 9;
3.
Figure 625673DEST_PATH_IMAGE076
4.
Figure 441183DEST_PATH_IMAGE077
5.
Figure 650447DEST_PATH_IMAGE078
set all executable quantum operations down if
Figure 475184DEST_PATH_IMAGE079
Entering step 7;
6. for the
Figure 453504DEST_PATH_IMAGE080
Entering step 5;
7.
Figure 705494DEST_PATH_IMAGE081
Figure 637940DEST_PATH_IMAGE082
8.
Figure 735209DEST_PATH_IMAGE083
entering the step 2;
9. return to
Figure 568036DEST_PATH_IMAGE084
4) The pseudocode for state evaluation Evaluate is as follows:
1.
Figure 990927DEST_PATH_IMAGE085
the number of medium quantum operations is such that,
Figure 909204DEST_PATH_IMAGE086
the number of medium quantum operations;
2.
Figure 810164DEST_PATH_IMAGE087
3.
Figure 261612DEST_PATH_IMAGE088
performing quantum operation on two qubits with the shortest distance in the middle 0 layer;
4.
Figure 589825DEST_PATH_IMAGE089
5. return to
Figure 995399DEST_PATH_IMAGE090
5) The pseudo code for the search tree Update is:
inputting: search tree
Figure 434470DEST_PATH_IMAGE091
Update the initial state
Figure 241889DEST_PATH_IMAGE005
Coefficient of attenuation
Figure 6583DEST_PATH_IMAGE027
1.
Figure 135338DEST_PATH_IMAGE092
Global valuation in all substates
Figure 378101DEST_PATH_IMAGE093
A maximum state;
2. if it is used
Figure 40026DEST_PATH_IMAGE094
If yes, the program is exited;
3.
Figure 975621DEST_PATH_IMAGE095
4.
Figure 90208DEST_PATH_IMAGE096
if in the parent state of
Figure 136661DEST_PATH_IMAGE097
If yes, the program is exited;
5. entering the step 2;
6) Pseudo code for search tree decision Judge is as follows:
inputting: search tree
Figure 653093DEST_PATH_IMAGE098
State of awaiting decision
Figure 263984DEST_PATH_IMAGE005
1.
Figure 865866DEST_PATH_IMAGE099
Global valuation in all substates
Figure 450432DEST_PATH_IMAGE100
A maximum state;
2. return to
Figure 821370DEST_PATH_IMAGE101
Technical terms in the present invention are explained as follows:
1) Quantum bit:
qubits are the fundamental unit of quantum computer storage of data. The quantum program implements a specific function by performing a corresponding operation on a qubit.
2) Quantum operation:
quantum operations can change the state of their active qubits to achieve a particular function. In the present invention, the quantum operation can be divided into a single quantum bit operation and a two quantum bit operation according to the number of active quantum bits. The single-qubit operation acts only on a particular qubit and can only change the state of this qubit; two qubit operations act on two qubits, which can change their state. In the present invention, use
Figure 364347DEST_PATH_IMAGE102
Is expressed and acted on
Figure 453526DEST_PATH_IMAGE103
General single qubit operation on qubits with
Figure 77667DEST_PATH_IMAGE104
Is expressed as acting on
Figure 568691DEST_PATH_IMAGE105
A typical two-qubit operation on a qubit. In addition, two special two-qubit operations are required in the present invention: swap operation and control not operation. One acts on
Figure 16990DEST_PATH_IMAGE106
The swap operation and the control not operation on the qubit can be used separately
Figure 593465DEST_PATH_IMAGE107
And (4) showing.
It is noted that for quantum operations with a number of active qubits greater than 2, it can be decomposed into a number of single-qubit and two-qubit quantum operations.
3) Quantum wire:
quantum wires are a common use of quantum processesMethods are described which generally consist of a qubit and a series of quantum operations. In the example circuit shown in FIG. 2, it contains two qubits
Figure 519833DEST_PATH_IMAGE108
Each line represents a corresponding qubit, block a represents
Figure 130943DEST_PATH_IMAGE109
And block B represents
Figure 248678DEST_PATH_IMAGE110
And module C represents
Figure 46870DEST_PATH_IMAGE111
The user does not consider the execution limitations of the quantum computer when designing the quantum wire. Therefore, before executing a quantum program described by a quantum wire in a quantum computer, a user-designed quantum wire needs to be mapped onto a new quantum wire, and the mapped quantum wire needs to be made functionally equivalent to an input wire while satisfying the execution constraint of the corresponding quantum computer. The invention refers to the quantum circuit designed at user level as logic quantum circuit (denoted as logic quantum circuit)
Figure 776928DEST_PATH_IMAGE112
) The quantum wire obtained by mapping is referred to as a physical quantum wire (described as
Figure 242545DEST_PATH_IMAGE113
)。
4) Layer of quantum wire:
for a quantum wire, if we shift all the quantum operations therein as far to the left as possible, then the quantum operations in the same column after left shifting can be divided into one layer. For the circuit shown in FIG. 3, it comprises three layers, where the quantum operations in the 0 th, 1 st, and 2 nd layers are respectively
Figure 767067DEST_PATH_IMAGE114
5) Logical qubits and physical qubits:
the invention refers to the quantum bit in the logic quantum circuit as logic quantum bit, and uses
Figure 318134DEST_PATH_IMAGE115
Is indicated by the reference number
Figure 586304DEST_PATH_IMAGE116
A logical qubit of (a); the qubits in the physical quantum wires are called physical qubits
Figure 407892DEST_PATH_IMAGE117
Is given a reference numeral of
Figure 368895DEST_PATH_IMAGE118
The physical qubit of (a). It should be noted that the physical qubits in the physical quantum wires correspond one-to-one to the actual qubits in the quantum computer.
6) Quantum computer structure diagram
In some quantum computers, connectivity between physical bits is limited in that quantum operations of two qubits can only be performed between specific pairs of physical bits, which limitation may be represented by a block diagram. The structure diagram of a quantum computer can be described as an undirected graph, denoted as
Figure 407258DEST_PATH_IMAGE119
Wherein
Figure 213540DEST_PATH_IMAGE120
A collection of nodes in the diagram is represented,
Figure 388169DEST_PATH_IMAGE121
a set of edges is represented that are,
Figure 785653DEST_PATH_IMAGE122
representing an edge in the structure diagram.
Figure 538409DEST_PATH_IMAGE123
The nodes in (1) represent physical qubits and the edges represent the connectivity of the qubits, so that the quantum operation of two qubits can be performed only between physical qubits directly connected by the edges. In the example of figure 4 of the drawings,
Figure 148381DEST_PATH_IMAGE124
therefore, only the physical bit can be used
Figure 177517DEST_PATH_IMAGE125
Performing a quantum operation between two qubits
Figure 745902DEST_PATH_IMAGE126
The corresponding quantum operation may not be performed in between. In addition to this, the present invention is,
Figure 227699DEST_PATH_IMAGE127
can also be written as
Figure 906942DEST_PATH_IMAGE128
7) Quantum bit mapping:
when running a quantum program in a quantum computer, it is necessary to map the qubits in a logical quantum wire onto physical qubits, a process called qubit mapping. Can use symbols
Figure 790584DEST_PATH_IMAGE129
A quantum bit map is represented that is,
Figure 765756DEST_PATH_IMAGE130
to represent
Figure 428DEST_PATH_IMAGE131
The logical qubits correspond to the physical qubits under the mapping, e.g., in FIG. 5, the initial state of the qubit mapping is
Figure 217783DEST_PATH_IMAGE132
Mapping to
Figure 221511DEST_PATH_IMAGE133
Mapping to
Figure 866119DEST_PATH_IMAGE134
Mapping to
Figure 588087DEST_PATH_IMAGE135
I.e. by
Figure 343554DEST_PATH_IMAGE136
Furthermore, a certain qubit mapping can be changed by introducing a swap operation in the physical line, which is used in the invention
Figure 700323DEST_PATH_IMAGE137
Or
Figure 515833DEST_PATH_IMAGE138
Representing qubit mapping
Figure 725097DEST_PATH_IMAGE139
One edge in the lead-in structure diagram
Figure 284254DEST_PATH_IMAGE140
Corresponding exchange operation or
Figure 262575DEST_PATH_IMAGE141
And then obtaining a new quantum bit mapping. Suppose that
Figure 983406DEST_PATH_IMAGE142
By introducing into physical quantum wires
Figure 181431DEST_PATH_IMAGE143
A new qubit mapping can be obtained
Figure 278700DEST_PATH_IMAGE144
Satisfy the following requirements
Figure 377106DEST_PATH_IMAGE145
Figure 268839DEST_PATH_IMAGE146
. For example in the context of figure 5 of the drawings,
Figure 452696DEST_PATH_IMAGE147
Figure 353656DEST_PATH_IMAGE148
8) Quantum operation mapping:
for general quantum operation in logical quantum wires
Figure 775410DEST_PATH_IMAGE149
And a qubit mapping
Figure 873597DEST_PATH_IMAGE139
The mapping of the quantum operation in a physical quantum wire is called
Figure 13591DEST_PATH_IMAGE150
9) Distance of two qubit operations:
for any two-qubit operation in a logical quantum line
Figure 983821DEST_PATH_IMAGE151
A quantum computer structure pattern
Figure 525661DEST_PATH_IMAGE152
A qubit mapping
Figure 290354DEST_PATH_IMAGE139
The two qubits operating
Figure 917645DEST_PATH_IMAGE153
Is a distance of
Figure 927451DEST_PATH_IMAGE154
Is defined in the present invention as
Figure 323798DEST_PATH_IMAGE152
Middle node
Figure 259393DEST_PATH_IMAGE155
The shortest distance therebetween. For example, for the architectural diagram shown in FIG. 4 and the qubit mapping shown on the left of FIG. 5, quantum operations
Figure 373979DEST_PATH_IMAGE156
Of (2) is
Figure 154853DEST_PATH_IMAGE157
Because of
Figure 936865DEST_PATH_IMAGE158
To is that
Figure 777782DEST_PATH_IMAGE159
And with
Figure 143779DEST_PATH_IMAGE160
In that
Figure 728344DEST_PATH_IMAGE152
The shortest path in (1) is
Figure 364861DEST_PATH_IMAGE161
And has a length of 2.
10 Execution of quantum operations in logical quantum wires:
if at a given qubit mapping
Figure 376680DEST_PATH_IMAGE050
Next, two qubit quantum operations in logical quantum wires (assuming effects on qubits)
Figure 465859DEST_PATH_IMAGE162
Up) satisfies (1) that it is in logicLayer 0 in the quantum wires; (2)
Figure 119694DEST_PATH_IMAGE163
The two qubit quantum operations are said to be executable.
If at a given qubit mapping
Figure 846604DEST_PATH_IMAGE139
Next, a single qubit quantum operation in a logical quantum wire is located at layer 0 in the logical quantum wire, and the single qubit quantum operation is said to be executable.
11 Execution of two qubit quantum operations in a logical quantum wire:
for a two-qubit quantum operation of layer 0 in a logical quantum wire (assumed to be
Figure 29323DEST_PATH_IMAGE164
) The execution of which refers to the process of constantly changing the qubit mapping by introducing a series of redundant switching operations to the physical quantum wires, so that the mapping of the qubit operations in the physical quantum wires can be performed, i.e. satisfy
Figure 871377DEST_PATH_IMAGE165
And will be
Figure 797745DEST_PATH_IMAGE166
Is deleted from the logic quantum circuit
Figure 143276DEST_PATH_IMAGE167
Physical quantum wires are added.
For example, for the structure diagram of FIG. 4, assume that the initial qubits are mapped as
Figure 28055DEST_PATH_IMAGE168
Assume that the two-qubit operation of layer 0 in the logical quantum wire needs to be performed as
Figure 342360DEST_PATH_IMAGE169
. To meet the architectural constraints, only the switching operations that can be introduced into a physical quantum wire are
Figure 337998DEST_PATH_IMAGE170
And
Figure 272456DEST_PATH_IMAGE171
. Because of
Figure 62557DEST_PATH_IMAGE172
At this time
Figure 613624DEST_PATH_IMAGE173
Mapping in physical lines as
Figure 147374DEST_PATH_IMAGE174
And due to
Figure 968962DEST_PATH_IMAGE175
Thus, it is possible to
Figure 195544DEST_PATH_IMAGE176
It is not executable. If introduced into the physical line
Figure 968328DEST_PATH_IMAGE177
Then the qubits are mapped into
Figure 305768DEST_PATH_IMAGE178
Figure 11556DEST_PATH_IMAGE179
At this time
Figure 641995DEST_PATH_IMAGE180
Mapping in physical lines as
Figure 167654DEST_PATH_IMAGE181
And due to
Figure 43206DEST_PATH_IMAGE182
At this time
Figure 72342DEST_PATH_IMAGE183
Can be executed. To sum up, at the initial qubit mapping of
Figure 640727DEST_PATH_IMAGE184
When it is, above
Figure 388103DEST_PATH_IMAGE185
Need to be introduced into the physical line
Figure 303232DEST_PATH_IMAGE186
And deleted from the logical quantum wire
Figure 452453DEST_PATH_IMAGE187
. It should be noted that the execution of a quantum operation is usually not exclusive, for example, in the above example, by introducing
Figure 191739DEST_PATH_IMAGE188
Can also realize
Figure 160832DEST_PATH_IMAGE189
Is performed.
12 Quantum wire mapping:
quantum wire mapping refers to the process of constructing a physical quantum wire based on a given computer structure pattern, logical quantum wires, and an initial quantum bit mapping, requiring that the output physical quantum wires be functionally equivalent to the input logical quantum wires, and wherein the two quantum bit gates meet the constraints of the computer structure pattern.
A specific approach to quantum wire mapping is to perform two-qubit operations (usually in left-to-right order) on each of the logical quantum wires by introducing redundant switching operations on it in the physical quantum wires. For the logical quantum wire shown in fig. 6 and the quantum computer structure diagram shown in fig. 4, and assuming that the initial quantum bit maps to
Figure 112608DEST_PATH_IMAGE190
And performing quantum line mapping on the obtained data. The control non-operation on the left side is performed first
Figure 381915DEST_PATH_IMAGE191
The execution of this operation requires the introduction of a physical quantum wire
Figure 760944DEST_PATH_IMAGE192
Updating the qubit map to
Figure 987307DEST_PATH_IMAGE193
Figure 742773DEST_PATH_IMAGE194
Then introduced later
Figure 866587DEST_PATH_IMAGE195
Deletion of
Figure 682096DEST_PATH_IMAGE196
(ii) a Second, the control non-operation on the right side is executed
Figure 891361DEST_PATH_IMAGE197
Because at this time
Figure 184939DEST_PATH_IMAGE198
At layer 0 of the logical quantum wire and its mapping in the physical wire is
Figure 664724DEST_PATH_IMAGE199
Already executable, so that only physical quantum wires need to be introduced
Figure 651134DEST_PATH_IMAGE200
Deletion of
Figure 347695DEST_PATH_IMAGE201
. The resulting physical quantum wires output by the entire quantum wire mapping process are shown in fig. 7.
In the above embodiments, although the steps are numbered as S1, S2, etc., but only the specific embodiments are given in the present application, and a person skilled in the art may adjust the execution sequence of S1, S2, etc. according to the actual situation, which is also within the protection scope of the present invention, it is understood that some embodiments may include some or all of the above embodiments.
As shown in fig. 8, a quantum wire mapping system 200 based on dynamic depth search according to an embodiment of the present invention includes an initialization module 210, an addition acquisition module 220, an evaluation module 230, an update module 240, and a repeated execution output module 250;
the initialization module 210 is configured to: initializing a state in a search space to obtain the current state of a logical quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logical quantum line;
the addition acquisition module 220 is configured to: adding appointed quantum operation to a physical quantum circuit contained in the current state to obtain a first physical quantum circuit, updating the first physical quantum circuit according to a logical quantum circuit contained in the current state to obtain a second physical quantum circuit, obtaining a corresponding sub-state of the second physical quantum circuit, and obtaining a plurality of sub-states by changing the appointed quantum operation;
the evaluation module 230 is configured to: performing state evaluation on each sub-state to obtain a state evaluation result of each sub-state;
the update module 240 is configured to: updating the states except all the sub-states in the search space according to all the state evaluation results;
the repeat execution output module 250 is configured to: a new state is selected from the search space as the current state, and the add acquisition module 220, the evaluation module 230, and the update module 240 are repeatedly invoked until the physical quantum wires meet the output condition.
The method can convert the quantum line mapping problem into a searching process, finds a solution with better quality, namely less mapping redundancy through high-depth searching, balances solving time through dynamic control of the searching depth, and is high in efficiency.
Optionally, in the above technical solution, the process of updating the first physical quantum wire by the addition obtaining module 220 according to the logical quantum wire included in the current state includes:
the quantum operation which can be executed by the logical quantum wire in the logical quantum wires included in the current state is added to the first physical quantum wire to obtain the second physical quantum wire.
Optionally, in the above technical solution, the state evaluation result of any sub-state includes: a global estimate of any sub-state, and a difference between the number of quantum operations in the logical quantum wires contained in the current state and the number of quantum operations in the logical quantum wires contained in any sub-state.
The above steps for realizing the corresponding functions of each parameter and each unit module in the quantum wire mapping system 200 based on dynamic depth search according to the present invention can refer to the above parameters and steps in the embodiment of the quantum wire mapping method based on dynamic depth search, which are not described herein again.
The storage medium of an embodiment of the present invention stores instructions, and when the instructions are read by a computer, the computer is caused to execute any one of the above quantum line mapping methods based on dynamic depth search.
An electronic device according to an embodiment of the present invention includes a processor and the storage medium, where the processor executes instructions in the storage medium. The electronic device can be a computer, a mobile phone and the like.
As will be appreciated by one skilled in the art, the present invention may be embodied as a system, method or computer program product.
Accordingly, the present disclosure may be embodied in the form of: may be embodied entirely in hardware, entirely in software (including firmware, resident software, micro-code, etc.) or in a combination of hardware and software, and may be referred to herein generally as a "circuit," module "or" system. Furthermore, in some embodiments, the invention may also be embodied in the form of a computer program product in one or more computer-readable media having computer-readable program code embodied in the medium.
Any combination of one or more computer-readable media may be employed. The computer readable medium may be a computer readable signal medium or a computer readable storage medium. A computer readable storage medium may be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination of the foregoing. More specific examples (a non-exhaustive list) of the computer-readable storage medium include an electrical connection having one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing. In the context of this document, a computer readable storage medium may be any tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device.
Although embodiments of the present invention have been shown and described above, it will be understood that the above embodiments are exemplary and not to be construed as limiting the present invention, and that changes, modifications, substitutions and alterations can be made to the above embodiments by those of ordinary skill in the art within the scope of the present invention.

Claims (8)

1. A quantum wire mapping method based on dynamic depth search is characterized by comprising the following steps:
s1, initializing a state in a search space to obtain the current state of a logical quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logical quantum line;
s2, adding appointed quantum operation to the physical quantum circuit contained in the current state to obtain a first physical quantum circuit, updating the first physical quantum circuit according to the logic quantum circuit contained in the current state to obtain a second physical quantum circuit, obtaining a sub-state corresponding to the second physical quantum circuit, and obtaining a plurality of sub-states by changing the appointed quantum operation;
s3, performing state evaluation on each sub-state to obtain a state evaluation result of each sub-state;
s4, updating the states except all the sub-states in the search space according to all the state evaluation results;
and S5, selecting a new state from the search space as the current state, and returning to execute the S2 until the physical quantum line meets the output condition.
2. The method according to claim 1, wherein the updating the first physical quantum wire according to the logical quantum wire included in the current state to obtain a second physical quantum wire comprises:
the quantum operation which can be executed by the logic quantum wires in the logic quantum wires contained in the current state is added to the first physical quantum wires to obtain the second physical quantum wires.
3. A dynamic depth search based quantum wire mapping method according to claim 1, wherein the state evaluation result of any sub-state comprises: a global estimate of the any sub-state, and a difference between the number of quantum operations in the logical quantum wires contained by the current state and the number of quantum operations in the logical quantum wires contained by the any sub-state.
4. A quantum line mapping system based on dynamic depth search is characterized by comprising an initialization module, an addition acquisition module, an evaluation module, an update module and a repeated execution output module;
the initialization module is configured to: initializing a state in a search space to obtain the current state of a logical quantum line to be mapped, wherein the current state comprises a physical quantum line and an input logical quantum line;
the addition acquisition module is used for: adding a specified quantum operation to the physical quantum wires contained in the current state to obtain a first physical quantum wire, updating the first physical quantum wire according to the logical quantum wires contained in the current state to obtain a second physical quantum wire, obtaining a sub-state corresponding to the second physical quantum wire, and obtaining a plurality of sub-states by changing the specified quantum operation;
the evaluation module is to: performing state evaluation on each substate to obtain a state evaluation result of each substate;
the update module is to: updating the states in the search space except all the sub-states according to all the state evaluation results;
the repeated execution output module is used for: and selecting a new state from the search space as the current state, and repeatedly calling the adding acquisition module, the evaluation module and the updating module until the physical quantum line meets the output condition.
5. The dynamic depth search based quantum wire mapping system of claim 4, wherein the process of updating the first physical quantum wire by the addition obtaining module according to the logical quantum wire included in the current state comprises:
the quantum operation which can be executed by the logic quantum wires in the logic quantum wires contained in the current state is added to the first physical quantum wires to obtain the second physical quantum wires.
6. The dynamic depth search based quantum wire mapping system of claim 4, wherein the state evaluation result of any sub-state comprises: a global estimate of the any sub-state, and a difference between the number of quantum operations in the logical quantum wires comprised by the current state and the number of quantum operations in the logical quantum wires comprised by the any sub-state.
7. A storage medium having stored therein instructions that, when read by a computer, cause the computer to execute a dynamic depth search based quantum wire mapping method according to any one of claims 1 to 3.
8. An electronic device comprising the storage medium of claim 7 and a processor, wherein the processor executes instructions in the storage medium.
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