Quantum Error Correction and Orthogonal Geometry

Calderbank, A. R., Rains, E. M., Shor, P. W., Sloane, N. J. A.·1997·Physical Review Letters

Cited by (790)

Items 601–700 of 790

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    V. I. Yashin, Maria A. Elovenkova · 2025 · Quantum Information Processing
  3. Discrete Phase-Space Structures and Mutually Unbiased Bases
    A. B. Klimov, José Luis Romero, Gunnar G. Bjork, Luis Lorenzo Sánchez-Soto · 2007 · Lecture notes in computer science
  4. Lie algebras and suppression of decoherence in open quantum systems
    William Gordon Ritter · 2005 · Physical Review A
  5. Analytical technique for simplification of the encoder–decoder circuit for a perfect five-qubit error correction
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  6. Message randomization and strong security in quantum stabilizer-based secret sharing for classical secrets
    Ryutaroh Matsumoto · 2020 · Designs Codes and Cryptography
  7. New Quantum Codes From Matrix-Product Codes
    Hao Song, Luo Bin Guo, Liang Dong Lv, Gang Chen · 2019 · Procedia Computer Science
  8. A Note on the Hierarchy of Quantum Measurement Incompatibilities
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  9. Discretization, the Road to Quantum Computing?
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  10. Quantum Error-Correction Codes Based on Multilevel Constructions of Hadamard Matrices
    Dazu Huang, Zhigang Chen, Ying Guo · 2007 · Springer eBooks
  11. Design of Quantum Stabilizer Codes From Quadratic Residues Sets
    Yixuan Xie, Jinhong Yuan, Qifu, Sun · 2014 · arXiv (Cornell University)
  12. Error correction and symmetrization in quantum computers
    Asher Peres · 1996 · arXiv (Cornell University)
  13. Quantum codes for controlling coherent evolution
    Yehuda Sharf, Timothy F. Havel, David G. Cory · 2000 · The Journal of Chemical Physics
  14. Error Correction with Euclidean Qubits
    Alexander Yu. Vlasov · 1999 · arXiv (Cornell University)
  15. Quantum LDPC Codes Constructed from Point-Line Subsets of the Finite Projective Plane
    Jacob Farinholt · 2012 · arXiv (Cornell University)
  16. Quantum Computing: Linear Optics Implementations
    Pål Sundsøy, Egil Fjeldberg · 2016 · arXiv (Cornell University)
  17. Quantum Cyclic Code of length dividing $p^{t}+1$
    Sagarmoy Dutta, Piyush P. Kurur · 2010 · arXiv (Cornell University)
  18. Classical Coding Approaches to Quantum Applications
    Narayanan Rengaswamy · 2020 · arXiv (Cornell University)
  19. Mapping Surface Code to Superconducting Quantum Processors
    Anbang Wu, Gushu Li, Hezi Zhang, Gian Giacomo Guerreschi, Yufei Ding, Yuan Xie · 2021 · arXiv (Cornell University)
  20. Generalized polarization measurement and its connection with information energy
    Bilal Canturk, Z. Gedik · 2023 · Journal of Physics A Mathematical and Theoretical
  21. Phase Coordinate Uncomputation in Quantum Recursive Fourier Sampling
    Christoffer Hindlycke, Niklas Johansson, Jan-Åke Larsson · 2025 · Entropy
  22. The augmented codes of a family of linear codes with locality 2
    Ziling Heng, Keqing Cao · 2025 · Journal of Algebra and Its Applications
  23. QBEL: Quantum Burst Error Locating Codes
    Roni Con, Ryan Gabrys, Eitan Yaakobi · 2025 · IEEE International Symposium on Information Theory (ISIT)
  24. AEAQEC codes from l-LCP of codes over finite non-chain rings
    Peng Hu, Xiusheng Liu · 2025 · Quantum Information Processing
  25. A family of optimal dual-containing and reversible linear codes over F 4
    Sujata Bansal, Pramod Kumar Kewat · 2025 · Finite Fields and Their Applications
  26. ERROR CORRECTION USING QUANTUM COMPUTING
    Md Khalik khan, Sapna Jain, SEST, Jamia Hamdard · 2023 · International Journal of Engineering Applied Sciences and Technology
  27. New quantum codes from homothetic-BCH codes
    Carlos Galindo, Fernando Hernando, Helena Martín-Cruz · 2025 · Computational and Applied Mathematics
  28. Feedback sum-product decoding of sparse quantum codes for X-Z Pauli channels
    Jinye Peng, Yun-Jiang Wang, Xinmei Wang, Bai Bao-Ming · 2011 · Acta Physica Sinica
  29. Quantum error correction assisted by two-way noisy communication
    Zhuo Wang, Sixia Yu, Heng Fan, C. H. Oh · 2014 · Scientific Reports
  30. On the construction of stabilizer codes with an arbitrary binary matrix
    Yongsoo Hwang, Byung-Soo Choi, Moongu Jeon · 2012 · Quantum Information Processing
  31. Encoding mutually unbiased bases in orbital angular momentum for quantum key distribution
    Angela L. Dudley, Mhlambululi Mafu, Sandeep K. Goyal, Daniel Giovannini, Melanie G. McLaren, Thomas Konrad, Miles J. Padgett, Francesco Petruccione, Norbert Lütkenhaus, Andrew Forbes · 2014 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  32. A class of quantum low-density parity check codes by combining seed graphs
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  33. Conversion of a general quantum stabilizer code to an entanglement distillation protocol
    Ryutaroh Matsumoto · 2003 · IEEE International Symposium on Information Theory (ISIT)
  34. Thermal stability of the two-dimensional topological color code
    Razieh Mohseninia · 2016 · Physical Review A
  35. Analysis of Quantum Communication Protocols
    Masahito Hayashi · 2016 · Graduate texts in physics
  36. Error bases, group algebra and quantum codes
    Zhuo Li, Lijuan Xing · 2013 · Acta Physica Sinica
  37. Symmetry and control in spin-based quantum computing
    Dimitrije Stepanenko · 2005
  38. Quantum Coding via Quasi-Cyclic Block Matrix
    Yuanli Cai, Jin-Yang Li · 2023 · Entropy
  39. Error Correction Using Quantum Computation
    Khalik Khan, Sapna Jain · 2023 · Journal of Digital Science
  40. Extended Binary Chirps Codebooks for Non-Coherent Communications
    Mahdi Bayanifar, Elias Heikkilä, Robert Calderbank, Olav Tirkkonen · 2023 · Globecom
  41. Quantum LDPC Codes From Intersecting Subsets
    Dimiter Ostrev · 2024 · IEEE Transactions on Information Theory
  42. Quantum Error-Correcting Codes Over Small Fields From AG Codes
    Heeralal Janwa, Fernando Piñero González · 2024 · Springer proceedings in mathematics & statistics
  43. Locality vs Quantum Codes
    Samuel Dai, Ray Li · 2025 · ACM Symposium on Theory of Computing (STOC)
  44. Targeted Clifford logical gates for hypergraph product codes
    Adway Patra, Alexander Barg · 2025 · Quantum
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  46. Dualities and Identities for Maximal-Entanglement Quantum Codes
    Ching–Yi Lai, Todd A. Brun, Mark M. Wilde · 2010
  47. Two-reservoir model of quantum error correction
    James Clemens, Julio R. Gea-Banacloche · 2006 · Physical Review A
  48. Binary Generalized Quasi-Cyclic Self-orthogonal Codes and Binary Construction of Pure Quantum Codes
    Weiliang Wang, Yangyu Fan, Luobin Guo · 2014 · Advances in intelligent systems research/Advances in Intelligent Systems Research
  49. On Quantum Codes and Networks
    Colin Wilmott · 2009
  50. Quantum cyclic code of length dividing pt + 1
    Sagarmoy Dutta, Piyush P. Kurur · 2011 · IEEE International Symposium on Information Theory (ISIT)
  51. Some classes of concatenated quantum codes: constructions and lower bounds
    Hachiro Fujita · 2015 · Quantum Information and Computation
  52. Quantum Codes Derived from Self-Orthogonal Codes over Large Finite Rings
    Huimin Lu, Xuedong Dong, Zhenxing Liu, Meili Zhang · 2016 · International Conference on Information Science and Control Engineering
  53. Some New Hermitian Self-orthogonal Codes Constructed on Quaternary Filed
    Hongying Jiao, Jinguo Zhang, Miaohua Liu · 2020 · Smart innovation, systems and technologies
  54. Perturbative tomography of small errors in quantum gates
    Ruyu Yang, Ying Li · 2021 · Physical Review A
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    Mirdit Doda, Matej Pivoluska, Martin Plesch · 2021 · Physical Review A
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    Alexey Igorevich Bondal, Il'ya Yur'evich Zhdanovskiy · 2021 · Успехи математических наук
  57. Strengthened quantum Hamming bound
    Lijuan Xing, Zhuo Li, Zhang Wu-Jun · 2011 · Acta Physica Sinica
  58. The Construction of Mutually Unbiased Unextendible Maximally Entangled Bases
    Liang Bao Tang, Siyu Xiong, Wenjing Li, Ming-Qiang Bai, Zhiwen Mo · 2021 · International Journal of Theoretical Physics
  59. Quantum Stabilizer Codes and Beyond
    Ivan B. Djordjević · 2021 · Elsevier eBooks
  60. Topics on Quantum Information Science
    Sergio Curilef, Angel Ricardo Plastino · 2021 · IntechOpen eBooks
  61. Fault-tolerant error correction for quantum Hamming codes with only two ancillary qudits
    Li-Yun Zhao, Xiu‐Bo Chen, Gang Xu, Jingwen Zhang, Yixian Yang · 2023 · Quantum Information Processing
  62. Perfect and Quasi-Perfect Codes for the Bosonic Classical-Quantum Channel
    Andreu Blasco Coll, J.R. Fonollosa · 2023 · IEEE Transactions on Quantum Engineering
  63. UNDAMENTALS OF INFORMATION AND COMPUTATION IN THE REALM OF THE QUANTA
    John Henry Reina · 2023 · Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales
  64. Quaternary conjucyclic codes with an application to EAQEC codes
    Md Ajaharul Hossain, Ramakrishna Bandi · 2024 · Advances in Mathematics of Communications
  65. Pauli exchange and quantum error correction
    Mary Beth Ruskai · 2002 · Contemporary mathematics - American Mathematical Society
  66. Multipulse control of decoherence—nonlinear spin-boson model
    Chikako Uchiyama · 2002 · Superlattices and Microstructures
  67. Three-qubit quantum error-correction scheme based on quantum cloning
    Daxiu Wei, Jun Luo, Xianping Sun, Xizhi Zeng, Maili Liu · 2004 · Physics Letters A
  68. Engineering fault tolerance for realistic quantum systems via the full error dynamics of quantum codes
    Vaneet Aggarwal, Robert Calderbank, Gerald N. Gilbert, Yaakov S. Weinstein · 2009 · IEEE International Symposium on Information Theory (ISIT)
  69. How to Correct Random and Burst Quantum Errors Simultaneously
    Ying Guo · 2006 · Journal of Software
  70. Concatenated codes for fault tolerant quantum computing
    NM (United States) Los Alamos National Lab., E Knill, USDOE, Washington, DC (United States), Raymond Laflamme, Wojciech Hubert Zurek · 1995
  71. Classical leakage-resilient circuits from quantum fault-tolerant computation
    Felipe Gomes Lacerda · 2015
  72. Encoders and Decoders for Quantum Expander Codes Using Machine Learning
    Sathwik Chadaga, Mridul Agarwal, Vaneet Aggarwal · 2019 · arXiv (Cornell University)
  73. Quantum error-correcting codes from matrix-product codes related to quasi-orthogonal matrices and quasi-unitary matrices.
    Meng Cao · 2020 · arXiv (Cornell University)
  74. Quantum Field Theories, Topological Materials, and Topological Quantum Computing
    Ilyas, Muhammad · 2021
  75. Combating Quantum Burst-errors with Quantum Interleaving Technique
    Wen-Shan, Cui, Yun Yun, Mao, Ying Ying, Guo Guo · 2006 · 通讯和计算机:中英文版
  76. Quantum Codes Derived from Two Construction Methods
    Huimin Lu, Xuedong Dong, Zhenxing Liu · 2015 · International Conference on Information Science and Control Engineering
  77. Ions, Atoms, and Bits: An Architectural Approach to Quantum Computing
    Dean Copsey, Mark Oskin, Frederic T. Chong · 2004 · Advances in computers
  78. Quantum Error Correction
    Masanori Ohya, Igor Vasil'evich Volovich · 2011 · Theoretical and mathematical physics
  79. Nonbinary quantum stabilizer codes from codes over Gaussian integers with respect to the Mannheim metric
    Murat Güzeltepe, Mehmet Özen · 2010 · arXiv (Cornell University)
  80. Efficient ML Decoding for Quantum Convolutional Codes
    Peiyu Tan, Jing Li · 2010 · arXiv (Cornell University)
  81. From Fermat's last theorem to the quantum computer
    Alexander Yu. Vlasov · 2003 · arXiv (Cornell University)
  82. Controlling quantum information
    Andrew J. Landahl · 2002 · CERN Document Server (European Organization for Nuclear Research)
  83. Error Correcting Codes, Correlation and Quantum Entanglement
    A.R. Calderbank · 1999 · Springer eBooks
  84. Codigos convolucionais quanticos concatenados
    Antonio Carlos Aido de Almeida · 2004
  85. Existence of quantum event-error detecting code
    Ying Guo, Guihua Zeng, Fucheng Zhu · 2005 · International Conference on Communications, Circuits and Systems
  86. Non-Pauli observables for CWS codes
    Douglas Frederico Guimarães Santiago, Renato Portugal, Nolmar Melo · 2012 · Quantum Information Processing
  87. Preparation and manipulation of a fault-tolerant superconducting qubit
    Mateusz Cholascinski, Yuriy Makhlin, Gerd Schön · 2007 · Physical Review B
  88. Constructions of quantum BCH codes based on finite fields of odd characteristic
    You Gao, Yu-Ting Xiao, Ya-Yuan Tao · 2010 · International Conference on Machine Learning and Cybernetics
  89. Polar Quantum Channel Coding for Symmetric Capacity Achieving
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  90. A Simple Procedure for Classical Signal-Processing in Cluster-State Quantum Computation
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  91. Quantum Polarization Codes for Capacity-Achieving in Discrete Memoryless Quantum Channel
    Da Zu Huang, Zhi Gang Chen, Xin Li, Ying Guo · 2010 · Applied Mechanics and Materials
  92. Quantum decoherence in qubit devices
    Howard E. Brandt · 2003 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  93. One kind of quantum CSS code for burst errors
    Jianhong Shi, Wan‐Su Bao · 2010 · International Conference on Educational and Information Technology
  94. Spin‐Based Optical Quantum Information Processing
    E. Pazy · 2006 · Israel Journal of Chemistry
  95. Practical quantum fault tolerance
    Gerald N. Gilbert, Yaakov S. Weinstein, Vaneet Aggarwal, A.R. Calderbank · 2009 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  96. The construction method of stabilizer codes for continuous variables
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  97. A scheme for protecting one-qubit information against erasure error
    Chui‐Ping Yang, Shih‐I Chu, Siyuan Han · 2002 · Journal of Optics B Quantum and Semiclassical Optics
  98. Entanglement Upper Bound of Stabilizer Codewords
    Yu-qian Wu, Xiaoyu Chen · 2011 · International Conference on Intelligence Science and Information Engineering
  99. Quantum convolutional codes: Practical syndrome decoder
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  100. Family of fast quantum stabilizer codes constructions
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