Results 21 to 30 of about 28,680 (263)
Entropy of a Quantum Error Correction Code [PDF]
Open Systems & Information Dynamics, 2008 We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code.
David W. Kribs +2 more
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Theory of quantum error-correcting codes [PDF]
Physical Review A, 1997 34 pages in LaTex, 1 figures, the paper is also available at http://qso.lanl.gov/qc/
Knill, Emanuel, Laflamme, Raymond
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An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes [PDF]
MATEC Web of Conferences, 2021 In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes.
Yao Yu, Ma Yuena, Li Husheng, Lv Jingjie
doaj +1 more source
Error Correction of Quantum Reference Frame Information
PRX Quantum, 2021 The existence of quantum error-correcting codes is one of the most counterintuitive and potentially technologically important discoveries of quantum-information theory.
Patrick Hayden +3 more
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Hardness of Braided Quantum Circuit Optimization in the Surface Code
IEEE Transactions on Quantum Engineering, 2023 Large-scale quantum information processing requires the use of quantum error-correcting codes to mitigate the effects of noise in quantum devices.
Kunihiro Wasa +6 more
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Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes [PDF]
, 2018 Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation.
Bolt, A., Poulin, D., Stace, T. M.
core +2 more sources
Quantum error correction with the semion code
New Journal of Physics, 2019 Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume +3 more
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Quantum illumination assistant with error-correcting codes
New Journal of Physics, 2020 We scheme how to enhance the detection ability of quantum target recognition without using entanglement resources. Based on the commonly used error-correcting codes and corresponding decoding method, our scheme gives lower error probability and higher ...
Wen-Zhao Zhang +3 more
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Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
npj Quantum Information, 2023 One-way quantum repeaters where loss and operational errors are counteracted by quantum error-correcting codes can ensure fast and reliable qubit transmission in quantum networks.
Kah Jen Wo +8 more
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Homological error correction: Classical and quantum codes [PDF]
Journal of Mathematical Physics, 2007 We prove several theorems characterizing the existence of homological error correction codes both classically and quantumly. Not every classical code is homological, but we find a family of classical homological codes saturating the Hamming bound. In the quantum case, we show that for nonorientable surfaces it is impossible to construct homological ...
Bombin, H., Martin-Delgado, M. A.
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