Results 41 to 50 of about 28,680 (263)
Chiral Spin Liquids and Quantum Error Correcting Codes [PDF]
, 2000 The possibility of using the two-fold topological degeneracy of spin-1/2 chiral spin liquid states on the torus to construct quantum error correcting codes is investigated. It is shown that codes constructed using these states on finite periodic lattices
A.M. Steane +19 more
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An Application of p-Fibonacci Error-Correcting Codes to Cryptography
Mathematics, 2021 In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure cryptographic signature schemes by means of the Fiat–Shamir transform or other similar constructs ...
Emanuele Bellini +2 more
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Quantum Reed-Solomon Codes [PDF]
, 1999 After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of
A. Barenco +13 more
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On a Family of Quantum Synchronizable Codes Based on the
IEEE Access, 2020 In this paper, we propose a family of quantum synchronizable codes from repeated-root cyclic codes and constacyclic codes. This family of quantum synchronizable codes are based on (λ(u + v)|u - v) construction which is constructed from ...
Chao Du +4 more
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On the Logical Error Rate of Sparse Quantum Codes
IEEE Transactions on Quantum Engineering, 2022 The quantum paradigm presents a phenomenon known as degeneracy that can potentially improve the performance of quantum error correcting codes. However, the effects of this mechanism are sometimes ignored when evaluating the performance of sparse quantum ...
Patricio Fuentes +3 more
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Error Correcting Codes in Quantum Theory
Physical Review Letters, 1996 Summary: A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory.
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Exploiting degeneracy in belief propagation decoding of quantum codes
npj Quantum Information, 2022 Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer codes.
Kao-Yueh Kuo, Ching-Yi Lai
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Majorana dimers and holographic quantum error-correcting codes
Physical Review Research, 2019 Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence. In this work, we introduce a versatile framework of Majorana dimers capturing the
A. Jahn +3 more
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Iterative Optimization of Quantum Error Correcting Codes [PDF]
Physical Review Letters, 2005 5 pages, 2 figures, REVTeX 4; stability of algorithm ...
Reimpell, M., Werner, R. F.
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Overcoming erasure errors with multilevel systems
New Journal of Physics, 2017 We investigate the usage of highly efficient error correcting codes of multilevel systems to protect encoded quantum information from erasure errors and implementation to repetitively correct these errors. Our scheme makes use of quantum polynomial codes
Sreraman Muralidharan +4 more
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