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 201–300 of 790

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  8. Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction
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  21. Quantum convolutional error-correcting codes
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  22. Level Reduction and the Quantum Threshold Theorem
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  23. Quantum stabilizer codes and classical linear codes
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  24. Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes
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  26. Dualities and identities for entanglement-assisted quantum codes
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  29. Quantum error correction via codes over GF(4)
    A.R. Calderbank, Eric M. Rains, Peter W. Shor, Neil J.A. Sloane · 2002 · IEEE International Symposium on Information Theory (ISIT)
  30. Decoherence, Control, and Symmetry in Quantum Computers
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  31. Quantum information and physics: Some future directions
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  32. A Subfield-Based Construction of Optimal Linear Codes Over Finite Fields
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  33. Discrete phase-space structure of n-qubit mutually unbiased bases
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  34. Continuous variable encoding by ponderomotive interaction
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  37. Effects of noise on quantum error correction algorithms
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  38. Learning and testing algorithms for the Clifford group
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  39. Quantum serial turbo-codes
    David Poulin, Jean–Pierre Tillich, Harold Ollivier · 2008 · IEEE International Symposium on Information Theory (ISIT)
  40. Magnetic impurity effects on the entanglement of three-qubit Heisenberg XY chain with intrinsic decoherence
    Shangbin Li, Jing‐Bo Xu · 2004 · Physics Letters A
  41. A lower bound on the quantum capacity of channels with correlated errors
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    Isaac L. Chuang, Andrew W. Cross, Graeme Smith, John A. Smolin, Bei Zeng · 2009 · Journal of Mathematical Physics
  46. Toward a 2D Local Implementation of Quantum Low-Density Parity-Check Codes
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  48. Grassmannian Packings From Operator Reed–Muller Codes
    Alexei Ashikhmin, A.R. Calderbank · 2010 · IEEE Transactions on Information Theory
  49. 1Dualities and Identities for Entanglement-Assisted Quantum Codes
    Ching–Yi Lai, Todd A. Brun, Mark M. Wilde · 2014
  50. Distributed quantum dense coding with two receivers in noisy environments
    Tamoghna Das, R. Prabhu, Aditi Sen, Ujjwal Sen · 2015 · Physical Review A
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    M. A. de Ponte, M. C. de Oliveira, M. H. Y. Moussa · 2004 · Physical Review A
  53. Constructing Quantum Error-Correcting Codes for pm-State System from Classical Error-Correcting Codes
    Ryutaroh Matsumoto, Tomohiko Uyematsu · 2000 · Institutional Repositories DataBase (IRDB)
  54. Information Rates Achievable With Algebraic Codes on Quantum Discrete Memoryless Channels
    M. Hamada · 2005 · IEEE Transactions on Information Theory
  55. Short random circuits define good quantum error correcting codes
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  56. Fault-Tolerant Code-Switching Protocols for Near-Term Quantum Processors
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  60. Quantum computation and spin physics (invited)
    David Peter Divincenzo · 1997 · Journal of Applied Physics
  61. Mutually unbiased bases and generalized Bell states
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  62. Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
    Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano · 2020 · IEEE Access
  63. Spatially correlated qubit errors and burst-correcting quantum codes
    Farrokh Vatan, Vwani Roychowdhury, M. P. Anantram · 1999 · IEEE Transactions on Information Theory
  64. Conversion of a general quantum stabilizer code to an entanglement distillation protocol
    Ryutaroh Matsumoto · 2003 · Journal of Physics A Mathematical and General
  65. Quantum error-correction codes and absolutely maximally entangled states
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    Yingkai Ouyang · 2021 · npj Quantum Information
  67. All the Stabilizer Codes of Distance 3
    Sixia Yu, Jürgen Bierbrauer, Ying Dong, Qing Chen, C. H. Oh · 2013 · IEEE Transactions on Information Theory
  68. Error-correcting codes from graphs
    Vladimir D. Tonchev · 2002 · Discrete Mathematics
  69. Algebraic geometric construction of a quantum stabilizer code
    Ryutaroh Matsumoto · 2001 · arXiv (Cornell University)
  70. Quantum Coding with Entanglement
    Mark M. Wilde · 2008 · arXiv (Cornell University)
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    Xiaoru Li, Ziling Heng · 2024 · IEEE Transactions on Information Theory
  73. Quantum-shift-register circuits
    Mark M. Wilde · 2009 · Physical Review A
  74. A concatenated [(4, 1, 3)] quantum convolutional code
    Antonio Carlos Aido de Almeida, Reginaldo Palazzo · 2005 · Manufacturing Engineer
  75. Nonarchimedean holographic entropy from networks of perfect tensors
    Matthew Heydeman, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi · 2021 · Advances in Theoretical and Mathematical Physics
  76. Lower bounds on the quantum capacity and highest error exponent of general memoryless channels
    M. Hamada · 2002 · IEEE Transactions on Information Theory
  77. Quantum Computing and Error Correction
    Andrew M. Steane · 2003 · arXiv (Cornell University)
  78. Three-particle QKD protocol against a collective noise
    Wei Huang, Fen-Zhuo Guo, Zheng Huang, Qiaoyan Wen, Fu-Chen Zhu · 2010 · Optics Communications
  79. Logical Clifford Synthesis for Stabilizer Codes
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  80. Narain CFTs from qudit stabilizer codes
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  82. Design of additive quantum codes via the code-word-stabilized framework
    Alexey A. Kovalev, Ilya I. Dumer, Leonid P. Pryadko · 2011 · Physical Review A
  83. Short random circuits define good quantum error correcting codes
    Winton Brown, Omar Fawzi · 2013 · IEEE International Symposium on Information Theory (ISIT)
  84. Quantum Topological Error Correction Codes: The Classical-to-Quantum Isomorphism Perspective
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  85. On the hardnesses of several quantum decoding problems
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  86. Universal quantum computation in decoherence-free subspaces with hot trapped ions
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  87. Information Security and Quantum Mechanics: Security of Quantum Protocols
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  88. Quantum Measurement for Quantum Chemistry on a Quantum Computer
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  92. Hamiltonian formulation of quantum error correction and correlated noise: Effects of syndrome extraction in the long-time limit
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  93. Good quantum-convolutional error-correction codes and their decoding algorithm exist
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  94. Quantum entanglement in states generated by bilocal group algebras
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  95. NOISE TOLERANCE OF THE BB84 PROTOCOL WITH RANDOM PRIVACY AMPLIFICATION
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  96. Boolean Functions, Projection Operators, and Quantum Error Correcting Codes
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  97. The minimum distance problem for two-way entanglement purification
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  98. Quantum Goethals-Preparata codes
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  99. Conditional generation of error syndromes in fault-tolerant error correction
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  100. Grassmannian connection between three- and four-qubit observables, Mermin’s contextuality and black holes
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