CN104919476B - 降级的经量子冗余译码状态的校正子 - Google Patents
降级的经量子冗余译码状态的校正子 Download PDFInfo
- Publication number
- CN104919476B CN104919476B CN201480004941.0A CN201480004941A CN104919476B CN 104919476 B CN104919476 B CN 104919476B CN 201480004941 A CN201480004941 A CN 201480004941A CN 104919476 B CN104919476 B CN 104919476B
- Authority
- CN
- China
- Prior art keywords
- quantum
- syndrome
- state
- bits
- measured
- Prior art date
- Legal status (The legal status 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 status listed.)
- Active
Links
Classifications
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
- H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
- H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
- H03M13/13—Linear codes
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B82—NANOTECHNOLOGY
- B82Y—SPECIFIC USES OR APPLICATIONS OF NANOSTRUCTURES; MEASUREMENT OR ANALYSIS OF NANOSTRUCTURES; MANUFACTURE OR TREATMENT OF NANOSTRUCTURES
- B82Y10/00—Nanotechnology for information processing, storage or transmission, e.g. quantum computing or single electron logic
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N10/00—Quantum computing, i.e. information processing based on quantum-mechanical phenomena
- G06N10/40—Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N10/00—Quantum computing, i.e. information processing based on quantum-mechanical phenomena
- G06N10/70—Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation
Landscapes
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Chemical & Material Sciences (AREA)
- Nanotechnology (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Condensed Matter Physics & Semiconductors (AREA)
- Data Mining & Analysis (AREA)
- Evolutionary Computation (AREA)
- Artificial Intelligence (AREA)
- Mathematical Analysis (AREA)
- Computational Mathematics (AREA)
- Software Systems (AREA)
- Computing Systems (AREA)
- General Engineering & Computer Science (AREA)
- Crystallography & Structural Chemistry (AREA)
- Probability & Statistics with Applications (AREA)
- Error Detection And Correction (AREA)
- Detection And Correction Of Errors (AREA)
Applications Claiming Priority (5)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US201361752646P | 2013-01-15 | 2013-01-15 | |
| US61/752,646 | 2013-01-15 | ||
| US13/912,876 | 2013-06-07 | ||
| US13/912,876 US9944520B2 (en) | 2013-01-15 | 2013-06-07 | Syndrome of degraded quantum redundancy coded states |
| PCT/US2014/010276 WO2014113226A1 (en) | 2013-01-15 | 2014-01-06 | Syndrome of degraded quantum redundancy coded states |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104919476A CN104919476A (zh) | 2015-09-16 |
| CN104919476B true CN104919476B (zh) | 2018-03-02 |
Family
ID=51166223
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201480004941.0A Active CN104919476B (zh) | 2013-01-15 | 2014-01-06 | 降级的经量子冗余译码状态的校正子 |
Country Status (5)
| Country | Link |
|---|---|
| US (2) | US9944520B2 (enExample) |
| EP (1) | EP2946348A1 (enExample) |
| JP (1) | JP6067138B2 (enExample) |
| CN (1) | CN104919476B (enExample) |
| WO (1) | WO2014113226A1 (enExample) |
Families Citing this family (31)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US9286154B2 (en) | 2013-06-07 | 2016-03-15 | Alcatel Lucent | Error correction for entangled quantum states |
| US9762262B2 (en) * | 2014-06-18 | 2017-09-12 | Alcatel Lucent | Hardware-efficient syndrome extraction for entangled quantum states |
| US10127499B1 (en) | 2014-08-11 | 2018-11-13 | Rigetti & Co, Inc. | Operating a quantum processor in a heterogeneous computing architecture |
| CN108351987A (zh) * | 2015-08-19 | 2018-07-31 | D-波系统公司 | 用于使用绝热量子计算机进行机器学习的系统和方法 |
| CN114707656A (zh) | 2015-11-06 | 2022-07-05 | 谷歌有限责任公司 | 原位量子错误校正 |
| US10817796B2 (en) | 2016-03-07 | 2020-10-27 | D-Wave Systems Inc. | Systems and methods for machine learning |
| US12229633B2 (en) * | 2016-03-30 | 2025-02-18 | Universität Wien | Secure probabilistic one-time program by quantum state distribution |
| US20180046933A1 (en) * | 2016-08-11 | 2018-02-15 | Board Of Regents, The University Of Texas System | System and method for controlling a quantum computing emulation device |
| WO2018058061A1 (en) | 2016-09-26 | 2018-03-29 | D-Wave Systems Inc. | Systems, methods and apparatus for sampling from a sampling server |
| WO2018064535A1 (en) * | 2016-09-30 | 2018-04-05 | Rigetti & Co., Inc. | Simulating quantum systems with quantum computation |
| US11531852B2 (en) | 2016-11-28 | 2022-12-20 | D-Wave Systems Inc. | Machine learning systems and methods for training with noisy labels |
| US9978020B1 (en) * | 2017-03-29 | 2018-05-22 | International Business Machines Corporation | Optimizing physical parameters in fault-tolerant quantum computing to reduce frequency crowding |
| EP4411599A3 (en) | 2017-09-12 | 2024-11-06 | Google LLC | Quantum error correction |
| US11586915B2 (en) | 2017-12-14 | 2023-02-21 | D-Wave Systems Inc. | Systems and methods for collaborative filtering with variational autoencoders |
| US10838792B1 (en) * | 2018-03-07 | 2020-11-17 | Quantum Benchmark, Inc. | Systems and methods for reconstructing noise from pauli fidelities |
| EP3794520A4 (en) | 2018-05-18 | 2022-03-23 | Rigetti & Co. LLC | COMPUTING PLATFORM WITH HETEROGENOUS QUANTUM PROCESSORS |
| US11386346B2 (en) | 2018-07-10 | 2022-07-12 | D-Wave Systems Inc. | Systems and methods for quantum bayesian networks |
| US11461644B2 (en) | 2018-11-15 | 2022-10-04 | D-Wave Systems Inc. | Systems and methods for semantic segmentation |
| US11468293B2 (en) | 2018-12-14 | 2022-10-11 | D-Wave Systems Inc. | Simulating and post-processing using a generative adversarial network |
| US11900264B2 (en) | 2019-02-08 | 2024-02-13 | D-Wave Systems Inc. | Systems and methods for hybrid quantum-classical computing |
| US11625612B2 (en) | 2019-02-12 | 2023-04-11 | D-Wave Systems Inc. | Systems and methods for domain adaptation |
| US11544612B2 (en) | 2019-05-15 | 2023-01-03 | Nokia Technologies Oy | Memory system using a quantum convolutional code |
| EP3987462B1 (en) | 2019-06-21 | 2025-09-10 | Psiquantum, Corp. | Photonic quantum computer architecture |
| US20210042650A1 (en) | 2019-08-06 | 2021-02-11 | Microsoft Technology Licensing, Llc | Pipelined hardware decoder for quantum computing devices |
| AU2021212265A1 (en) | 2020-01-29 | 2022-09-22 | Psiquantum, Corp. | Fusion based quantum computing |
| US11416761B2 (en) * | 2020-04-23 | 2022-08-16 | Microsoft Technology Licensing, Llc | Fault-tolerant quantum cat state preparation |
| US11552653B2 (en) * | 2021-01-06 | 2023-01-10 | Microsoft Technology Licensing, Llc | Union-find decoder for LDPC codes |
| US12488268B1 (en) | 2021-10-26 | 2025-12-02 | Psiquantum, Corp. | Resource efficient logical quantum gates |
| WO2024177617A2 (en) | 2022-02-10 | 2024-08-29 | Psiquantum, Corp. | Systems and methods for fault-tolerant quantum computing with reduced idle volume |
| US12112240B2 (en) | 2022-07-29 | 2024-10-08 | Microsoft Technology Licensing, Llc | Fault correction for Clifford circuits |
| US12068759B2 (en) * | 2022-07-29 | 2024-08-20 | Microsoft Technology Licensing, Llc | Construction of lookup decoders for stabilizer codes |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6128764A (en) * | 1997-02-06 | 2000-10-03 | California Institute Of Technology | Quantum error-correcting codes and devices |
| CN1825771A (zh) * | 2001-06-15 | 2006-08-30 | 弗拉里奥恩技术公司 | 用于对ldpc代码解码的方法和设备 |
Family Cites Families (27)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6081882A (en) * | 1998-04-09 | 2000-06-27 | Silicon Graphics, Inc. | Quantum acceleration of conventional non-quantum computers |
| JP2000137007A (ja) * | 1998-08-26 | 2000-05-16 | Canon Inc | 状態構成方法及びその装置、並びにこれを用いた通信方法及びその装置 |
| US20030093451A1 (en) * | 2001-09-21 | 2003-05-15 | International Business Machines Corporation | Reversible arithmetic coding for quantum data compression |
| US7307275B2 (en) | 2002-04-04 | 2007-12-11 | D-Wave Systems Inc. | Encoding and error suppression for superconducting quantum computers |
| US20040024750A1 (en) * | 2002-07-31 | 2004-02-05 | Ulyanov Sergei V. | Intelligent mechatronic control suspension system based on quantum soft computing |
| AU2002950888A0 (en) | 2002-08-20 | 2002-09-12 | Unisearch Limited | Quantum device |
| JP4030838B2 (ja) | 2002-08-30 | 2008-01-09 | 独立行政法人科学技術振興機構 | 量子回路および量子計算機 |
| JP4062435B2 (ja) | 2002-12-03 | 2008-03-19 | 日本電気株式会社 | 誤り訂正符号復号装置 |
| US20080140746A1 (en) * | 2003-12-15 | 2008-06-12 | The Trustees Of Columbia University In The City Of New York | Fast Quantum Mechanical Initial State Approximation |
| JP4296949B2 (ja) | 2004-02-03 | 2009-07-15 | ソニー株式会社 | 復号装置及び方法、並びに情報処理装置及び方法 |
| US7251769B2 (en) | 2004-03-17 | 2007-07-31 | Lucent Technologies Inc. | Methods and apparatus for communication using generalized low density parity check codes |
| US7519898B2 (en) | 2004-03-25 | 2009-04-14 | Krishna Rama Narayanan | Iterative decoding of linear block codes by adapting the parity check matrix |
| US7359101B2 (en) * | 2004-09-13 | 2008-04-15 | Hewleet-Packard Development Company, L.P. | Tests of quantum information |
| KR100643283B1 (ko) | 2004-10-13 | 2006-11-10 | 삼성전자주식회사 | 양자 코프로세서를 사용하여 연산 속도를 향상시키는 방법및 장치 |
| JP4521318B2 (ja) | 2005-06-09 | 2010-08-11 | 株式会社東芝 | 量子回路、量子誤り訂正装置および量子誤り訂正方法 |
| JP4526451B2 (ja) | 2005-06-30 | 2010-08-18 | ルネサスエレクトロニクス株式会社 | 復号装置と方法並びにプログラム |
| US7746689B2 (en) | 2005-11-30 | 2010-06-29 | Intel Corporation | Molecular quantum memory |
| US7793201B1 (en) | 2006-05-11 | 2010-09-07 | Seagate Technology Llc | Bit error detector for iterative ECC decoder |
| US7875876B1 (en) | 2006-06-15 | 2011-01-25 | Hrl Laboratories, Llc | Scalable quantum computer |
| US7751491B2 (en) | 2006-06-29 | 2010-07-06 | Nec Laboratories America, Inc. | Code design method for repeat-zigzag Hadamard codes |
| US7966549B2 (en) | 2007-03-01 | 2011-06-21 | Qucor Pty. Ltd. | Error corrected quantum computer |
| US7985965B2 (en) | 2007-03-29 | 2011-07-26 | Raytheon Company | Quantum computing device and method including qubit arrays of entangled states using negative refractive index lenses |
| US8327215B2 (en) | 2007-12-13 | 2012-12-04 | Electronics And Telecommunications Research Institute | Apparatus and method for encoding LDPC code using message passing algorithm |
| JP5091717B2 (ja) | 2008-02-21 | 2012-12-05 | 株式会社東芝 | 量子計算方法および量子計算機 |
| JP4786727B2 (ja) | 2009-03-27 | 2011-10-05 | 株式会社東芝 | 量子計算方法、量子計算機およびプログラム |
| US9224099B2 (en) | 2010-06-23 | 2015-12-29 | University Of Tsukuba | Quantum computer |
| GB2495994B (en) | 2011-10-28 | 2014-03-12 | Toshiba Res Europ Ltd | Quantum memory |
-
2013
- 2013-06-07 US US13/912,876 patent/US9944520B2/en active Active
-
2014
- 2014-01-06 JP JP2015553747A patent/JP6067138B2/ja active Active
- 2014-01-06 EP EP14703453.2A patent/EP2946348A1/en not_active Ceased
- 2014-01-06 WO PCT/US2014/010276 patent/WO2014113226A1/en not_active Ceased
- 2014-01-06 CN CN201480004941.0A patent/CN104919476B/zh active Active
-
2018
- 2018-03-05 US US15/911,909 patent/US10633248B2/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6128764A (en) * | 1997-02-06 | 2000-10-03 | California Institute Of Technology | Quantum error-correcting codes and devices |
| CN1825771A (zh) * | 2001-06-15 | 2006-08-30 | 弗拉里奥恩技术公司 | 用于对ldpc代码解码的方法和设备 |
Non-Patent Citations (1)
| Title |
|---|
| Logical Zeros for the Seven-Qubit Quantum Error Correction Code;G. Gilbert 等;《Quantum Information and Computation IX》;20110602;摘要、第2部分-第5部分,图1 * |
Also Published As
| Publication number | Publication date |
|---|---|
| US20200079648A1 (en) | 2020-03-12 |
| JP2016504002A (ja) | 2016-02-08 |
| US10633248B2 (en) | 2020-04-28 |
| CN104919476A (zh) | 2015-09-16 |
| JP6067138B2 (ja) | 2017-01-25 |
| EP2946348A1 (en) | 2015-11-25 |
| US9944520B2 (en) | 2018-04-17 |
| US20140201591A1 (en) | 2014-07-17 |
| WO2014113226A1 (en) | 2014-07-24 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN104919476B (zh) | 降级的经量子冗余译码状态的校正子 | |
| US8949693B2 (en) | Antipodal-mapping-based encoders and decoders | |
| US10804938B2 (en) | Decoding data using decoders and neural networks | |
| US20120017136A1 (en) | Systems and methods for encoding information for storage in an electronic memory and for decoding encoded information retrieved from an electronic memory | |
| US8843810B2 (en) | Method and apparatus for performing a CRC check | |
| Goto | High-performance fault-tolerant quantum computing with many-hypercube codes | |
| CN104658609B (zh) | 用于存储器系统的纠错码分布的方法和系统 | |
| KR20180059150A (ko) | 1 클럭 인코딩이 가능한 에러 정정 코드 인코더 및 에러 정정 코드 인코딩 방법과, 그리고 그 에러 정정 코드 인코더를 포함하는 메모리 컨트롤러 | |
| CN109873646A (zh) | 使用级联码的软芯片猎杀恢复 | |
| KR20180059149A (ko) | 에러 정정 코드 디코더, 이를 포함하는 메모리 컨트롤러, 및 에러 정정 코드 디코팅 방법 | |
| US10162702B2 (en) | Segmented error coding for block-based memory | |
| EP3329600B1 (en) | Data integrity detection and correction on the basis of the mojette transform | |
| CN108432170A (zh) | 用于多码分布式存储的装置和方法 | |
| Shahariar Parvez et al. | Design and implementation of hamming encoder and decoder over FPGA | |
| Potapov | Embedding in MDS codes and Latin cubes | |
| JP2023552994A (ja) | プログラム可能な誤り訂正コードの符号化及び復号論理 | |
| US20230370090A1 (en) | Encoding and decoding of data using generalized ldpc codes | |
| US12289119B2 (en) | Low-power systematic ECC encoder with balancing bits | |
| CN114616550B (zh) | 使用半尺寸数据阵列对二进制对称不变乘积码的高效编码 | |
| Avalos | CONSTRUCTING BINARY ENCODING MATRICES FROM JOINED GRAPHS | |
| CN121124824A (zh) | 初步校验子计算 | |
| CN113812092A (zh) | 二进制对称不变乘积码编码的码字的有效纠错 |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |