References
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- Y.-A. Chen and A. Kapustin, “Bosonization in three spatial dimensions and a 2-form gauge theory”, Physical Review B 100, (2019) arXiv:1807.07081 DOI. Appears in: 3D bosonization code, 3D fermionic surface code
- Y.-A. Chen, “Exact bosonization in arbitrary dimensions”, Physical Review Research 2, (2020) arXiv:1911.00017 DOI. Appears in: Bosonization code
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- Y.-H. Chen and T. Grover, “Separability Transitions in Topological States Induced by Local Decoherence”, Physical Review Letters 132, (2024) arXiv:2309.11879 DOI. Appears in: 2D lattice stabilizer code
- “Exponential suppression of bit or phase errors with cyclic error correction”, Nature 595, 383 (2021) arXiv:2102.06132 DOI. Appears in: Quantum repetition code, Rotated surface code, \([[4,2,2]]\) Four-qubit code
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- H.-C. Cheng, “Simple and Tighter Derivation of Achievability for Classical Communication Over Quantum Channels”, PRX Quantum 4, (2023) arXiv:2208.02132 DOI. Appears in: Classical-quantum (c-q) code
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- S. H. Hassani and R. Urbanke, “Universal polar codes”, 2014 IEEE International Symposium on Information Theory (2014) DOI. Appears in: Polar code
- S. H. Hassani, K. Alishahi, and R. L. Urbanke, “Finite-Length Scaling for Polar Codes”, IEEE Transactions on Information Theory 60, 5875 (2014) DOI. Appears in: Error-correcting code (ECC)
- B. Hassibi and H. Vikalo, “On the sphere-decoding algorithm I. Expected complexity”, IEEE Transactions on Signal Processing 53, 2806 (2005) DOI. Appears in: Linear STC
- F. Hassler, “Majorana Qubits”, (2014) arXiv:1404.0897. Appears in: Fermion code
- J. Håstad, “Some optimal inapproximability results”, Journal of the ACM 48, 798 (2001) DOI. Appears in: Long code
- T. Hastie and R. Tibshirani, “Classification by pairwise coupling”, The Annals of Statistics 26, (1998) DOI. Appears in: One-versus-one (OVO) code
- M. B. Hastings and X.-G. Wen, “Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance”, Physical Review B 72, (2005) arXiv:cond-mat/0503554 DOI. Appears in: Hamiltonian-based code
- M. B. Hastings, “Quantum belief propagation: An algorithm for thermal quantum systems”, Physical Review B 76, (2007) arXiv:0706.4094 DOI. Appears in: Quantum LDPC (QLDPC) code
- M. B. Hastings, “Superadditivity of communication capacity using entangled inputs”, Nature Physics 5, 255 (2009) arXiv:0809.3972 DOI. Appears in: Classical-quantum (c-q) code
- M. B. Hastings, “Topological Order at Nonzero Temperature”, Physical Review Letters 107, (2011) arXiv:1106.6026 DOI. Appears in: Kitaev surface code, Topological code
- M. B. Hastings, “Decoding in Hyperbolic Spaces: LDPC Codes With Linear Rate and Efficient Error Correction”, (2013) arXiv:1312.2546. Appears in: Hyperbolic surface code, Single-shot code
- M. B. Hastings and A. Geller, “Reduced Space-Time and Time Costs Using Dislocation Codes and Arbitrary Ancillas”, (2015) arXiv:1408.3379. Appears in: Twist-defect surface code
- M. B. Hastings, “How quantum are non-negative wavefunctions?”, Journal of Mathematical Physics 57, (2015) arXiv:1506.08883 DOI. Appears in: Double-semion stabilizer code
- M. B. Hastings, “Weight Reduction for Quantum Codes”, (2016) arXiv:1611.03790. Appears in: Distance-balanced code, Quantum locally testable code (QLTC)
- M. B. Hastings, “Quantum Codes from High-Dimensional Manifolds”, (2016) arXiv:1608.05089. Appears in: \(D\)-dimensional twisted toric code, Hypersphere product code, Quantum LDPC (QLDPC) code
- M. B. Hastings, “Turning Gate Synthesis Errors into Incoherent Errors”, (2016) arXiv:1612.01011. Appears in: Qubit stabilizer code, Qubit code
- M. B. Hastings, “Small Majorana Fermion Codes”, (2017) arXiv:1703.00612. Appears in: \([2^r-1,2^r-r-1,3]\) Hamming code, Majorana color code, Majorana stabilizer code
- M. B. Hastings and J. Haah, “Distillation with Sublogarithmic Overhead”, Physical Review Letters 120, (2018) arXiv:1709.03543 DOI. Appears in: \([[2^r-1,1,3]]\) simplex code, Quantum Reed-Muller code
- M. B. Hastings and J. Haah, “Dynamically Generated Logical Qubits”, Quantum 5, 564 (2021) arXiv:2107.02194 DOI. Appears in: Bacon-Shor code, Dynamical automorphism (DA) code, Hastings-Haah Floquet code, Honeycomb Floquet code, Kitaev honeycomb code, Ladder Floquet code, Monitored random-circuit code, Subsystem color code, Kitaev surface code
- M. B. Hastings, J. Haah, and R. O’Donnell, “Fiber bundle codes: breaking the n \({}^{\text{1/2}}\) polylog( n ) barrier for Quantum LDPC codes”, Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing 1276 (2021) arXiv:2009.03921 DOI. Appears in: Bacon-Shor code, Fiber-bundle code, Homological product code, Hypergraph product (HGP) code
- M. B. Hastings, J. Haah, and R. O’Donnell, “Fiber bundle codes: breaking the n \({}^{\text{1/2}}\) polylog( n ) barrier for Quantum LDPC codes”, Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing 1276 (2021) DOI. Appears in: Fiber-bundle code, Lifted-product (LP) code
- M. B. Hastings, “On Quantum Weight Reduction”, (2023) arXiv:2102.10030. Appears in: Distance-balanced code
- M. B. Hastings, LR codes, private communication, 2014.. Appears in: Two-block group-algebra (2BGA) codes
- J. Hastrup and U. L. Andersen, “All-optical cat-code quantum error correction”, (2021) arXiv:2108.12225. Appears in: Two-component cat code
- Hatuying Lou and J. Garcia-Frias, “Quantum error-correction using codes with low density generator matrix”, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005. DOI. Appears in: Low-density generator-matrix (LDGM) code, Quantum LDPC (QLDPC) code
- V. Havlíček, M. Troyer, and J. D. Whitfield, “Operator locality in the quantum simulation of fermionic models”, Physical Review A 95, (2017) arXiv:1701.07072 DOI. Appears in: Bravyi-Kitaev transformation (BKT) code
- M. Hayashi and H. Nagaoka, “A general formula for the classical capacity of a general quantum channel”, Proceedings IEEE International Symposium on Information Theory, arXiv:quant-ph/0206186 DOI. Appears in: Classical-quantum (c-q) code
- M. Hayashi, “Error exponent in asymmetric quantum hypothesis testing and its application to classical-quantum channel coding”, Physical Review A 76, (2007) arXiv:quant-ph/0611013 DOI. Appears in: Classical-quantum (c-q) code
- M. Hayashi, “Information Spectrum Approach to Second-Order Coding Rate in Channel Coding”, IEEE Transactions on Information Theory 55, 4947 (2009) arXiv:0801.2242 DOI. Appears in: Error-correcting code (ECC)
- M. Hayashi, “Universal Coding for Classical-Quantum Channel”, Communications in Mathematical Physics 289, 1087 (2009) arXiv:0805.4092 DOI. Appears in: Classical-quantum (c-q) code
- P. Hayden and J. Preskill, “Black holes as mirrors: quantum information in random subsystems”, Journal of High Energy Physics 2007, 120 (2007) arXiv:0708.4025 DOI. Appears in: Dynamically-generated QECC
- P. Hayden, M. Horodecki, A. Winter, and J. Yard, “A Decoupling Approach to the Quantum Capacity”, Open Systems & Information Dynamics 15, 7 (2008) arXiv:quant-ph/0702005 DOI. Appears in: Approximate quantum error-correcting code (AQECC), Haar-random qubit code
- P. Hayden and A. May, “Summoning information in spacetime, or where and when can a qubit be?”, Journal of Physics A: Mathematical and Theoretical 49, 175304 (2016) arXiv:1210.0913 DOI. Appears in: Codeword stabilized (CWS) code, Hayden-Nezami-Salton-Sanders bosonic code, Spacetime code (STC)
- P. Hayden, S. Nezami, G. Salton, and B. C. Sanders, “Spacetime replication of continuous variable quantum information”, New Journal of Physics 18, 083043 (2016) arXiv:1601.02544 DOI. Appears in: Codeword stabilized (CWS) code, Hayden-Nezami-Salton-Sanders bosonic code, Niset-Andersen-Cerf code, Spacetime code (STC)
- P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter, and Z. Yang, “Holographic duality from random tensor networks”, Journal of High Energy Physics 2016, (2016) arXiv:1601.01694 DOI. Appears in: Holographic tensor-network code, Random stabilizer code
- P. Hayden and G. Penington, “Learning the Alpha-bits of black holes”, Journal of High Energy Physics 2019, (2019) arXiv:1807.06041 DOI. Appears in: Approximate quantum error-correcting code (AQECC), Holographic code
- P. Hayden and G. Penington, “Approximate Quantum Error Correction Revisited: Introducing the Alpha-Bit”, Communications in Mathematical Physics 374, 369 (2020) arXiv:1706.09434 DOI. Appears in: Approximate quantum error-correcting code (AQECC)
- P. Hayden, S. Nezami, S. Popescu, and G. Salton, “Error Correction of Quantum Reference Frame Information”, PRX Quantum 2, (2021) arXiv:1709.04471 DOI. Appears in: Covariant block quantum code, \(G\)-covariant erasure code, Three-rotor code, W-state code
- A. J. F. Hayes, A. Gilchrist, and T. C. Ralph, “Loss-tolerant operations in parity-code linear optics quantum computing”, Physical Review A 77, (2008) arXiv:0707.0903 DOI. Appears in: Quantum parity code (QPC)
- A. J. F. Hayes, H. L. Haselgrove, A. Gilchrist, and T. C. Ralph, “Fault tolerance in parity-state linear optical quantum computing”, Physical Review A 82, (2010) arXiv:0908.3932 DOI. Appears in: Quantum parity code (QPC)
- X. He, L. Xu, and H. Chen, “New \(q\)-ary Quantum MDS Codes with Distances Bigger than \(\frac{q}{2}\)”, (2015) arXiv:1507.08355. Appears in: Constacyclic code, Quantum maximum-distance-separable (MDS) code, Hermitian Galois-qudit code
- Y.-H. He and J. McKay, “Sporadic and Exceptional”, (2015) arXiv:1505.06742. Appears in: \(3_{21}\) polytope code, Hessian polyhedron code, Witting polytope code
- Z. He, L. Robitaille, and X. Tan, “Permutation gates in the third level of the Clifford hierarchy”, (2024) arXiv:2410.11818. Appears in: Qubit code
- Z. He, D. Amaro, R. Shaydulin, and M. Pistoia, “Performance of Quantum Approximate Optimization with Quantum Error Detection”, (2024) arXiv:2409.12104. Appears in: \([[2m,2m-2,2]]\) error-detecting code
- M. Hebenstreit, R. Jozsa, B. Kraus, S. Strelchuk, and M. Yoganathan, “All Pure Fermionic Non-Gaussian States Are Magic States for Matchgate Computations”, Physical Review Letters 123, (2019) arXiv:1905.08584 DOI. Appears in: Fermion code
- R. Heckel, G. Mikutis, and R. N. Grass, “A Characterization of the DNA Data Storage Channel”, (2018) arXiv:1803.03322. Appears in: DNA storage code
- A. S. Hedayat, N. J. A. Sloane, and J. Stufken, Orthogonal Arrays (Springer New York, 1999) DOI. Appears in: Mixed code, Orthogonal array (OA), \(q\)-ary code
- A. Hedayat and W. D. Wallis, “Hadamard Matrices and Their Applications”, The Annals of Statistics 6, (1978) DOI. Appears in: Hadamard code
- O. Heden, “On the size of the symmetry group of a perfect code”, Discrete Mathematics 311, 1879 (2011) DOI. Appears in: Perfect binary code
- O. Heden, F. Pasticci, and T. Westerbäck, “On the symmetry group of extended perfect binary codes of length \(n+1\) and rank \(n-\log(n+1)+2\)”, Advances in Mathematics of Communications 6, 121 (2012) DOI. Appears in: Perfect binary code
- C. Heegard and S. B. Wicker, Turbo Coding (Springer US, 1999) DOI. Appears in: Turbo code
- B. Heim, K. M. Svore, and M. B. Hastings, “Optimal Circuit-Level Decoding for Surface Codes”, (2016) arXiv:1609.06373. Appears in: Kitaev surface code
- M. Hein, J. Eisert, and H. J. Briegel, “Multiparty entanglement in graph states”, Physical Review A 69, (2004) arXiv:quant-ph/0307130 DOI. Appears in: Cluster-state code
- M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. V. den Nest, and H.-J. Briegel, “Entanglement in Graph States and its Applications”, (2006) arXiv:quant-ph/0602096. Appears in: Cluster-state code, XP stabilizer code
- M. Heinrich and D. Gross, “Robustness of Magic and Symmetries of the Stabiliser Polytope”, Quantum 3, 132 (2019) arXiv:1807.10296 DOI. Appears in: Qubit stabilizer code
- H. J. Helgert, “Noncyclic generalizations of BCH and srivastava codes”, Information and Control 21, 280 (1972) DOI. Appears in: Alternant code, Srivastava code
- H. J. Helgert, “Alternant codes”, Information and Control 26, 369 (1974) DOI. Appears in: Alternant code
- H. J. Helgert, “Binary primitive alternant codes”, Information and Control 27, 101 (1975) DOI. Appears in: Alternant code
- H. Helgert, “Srivastava codes”, IEEE Transactions on Information Theory 18, 292 (1972) DOI. Appears in: Generalized Srivastava code, Srivastava code
- H. Helgert, “Decoding of alternant codes (Corresp.)”, IEEE Transactions on Information Theory 23, 513 (1977) DOI. Appears in: Alternant code
- T. H. Helleseth, H. G. Schaathun, T. H. Helleseth, and H. G. Schaathun, “On the&lt;tex&gt;$”, IEEE Transactions on Information Theory 50, 3312 (2004) DOI. Appears in: Frameproof (FP) code, Kerdock code
- T. Helleseth, “No primitive binary&lt;tex&gt;t&lt;/tex&gt;-error-correcting BCH code with&lt;tex&gt;t &gt; 2&lt;/tex&gt;is quasi-perfect (Corresp.)”, IEEE Transactions on Information Theory 25, 361 (1979) DOI. Appears in: Binary BCH code, Quasi-perfect code
- T. Helleseth and P. Vijay Kumar, “The weight hierarchy of the Kasami codes”, Discrete Mathematics 145, 133 (1995) DOI. Appears in: Griesmer code, Kasami code
- T. Helleseth and P. V. Kumar, “The algebraic decoding of the Z/sub 4/-linear Goethals code”, IEEE Transactions on Information Theory 41, 2040 (1995) DOI. Appears in: Hergert code
- T. Helleseth, C. Li, "Pseudo-Noise Sequences." Concise Encyclopedia of Coding Theory (Chapman and Hall/CRC, 2021) DOI. Appears in: Gold code, Kasami code