Results 31 to 40 of about 172,944 (286)
Quantum LDPC Codes Based on Cocyclic Block Matrices
Entropy, 2023 Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs).
Yuan Li, Ying Guo
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Quantum sources and a quantum coding theorem [PDF]
Journal of Mathematical Physics, 1998 We define a large class of quantum sources and prove a quantum analog of the asymptotic equipartition property. Our proof relies on using local measurements on the quantum source to obtain an associated classical source. The classical source provides an upper bound for the dimension of the relevant subspace of the quantum source, via the Shannon ...
King, Christopher, Leśniewski, Andrezj
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IEEE Access, 2021 In this paper, we use the CSS and Steane’s constructions to establish quantum error-correcting codes (briefly, QEC codes) from cyclic codes of length $6p^{s}$ over $\mathbb F_{p^{m}}$ .
Hai Q. Dinh +3 more
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Correcting Quantum Errors with Entanglement [PDF]
, 2006 We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard quantum error ...
Brun, Todd +2 more
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Compression for Quantum Population Coding [PDF]
IEEE Transactions on Information Theory, 2017 We study the compression of n quantum systems, each prepared in the same state belonging to a given parametric family of quantum states. For a family of states with f independent parameters, we devise an asymptotically faithful protocol that requires a hybrid memory of size (f/2)log(n), including both quantum and classical bits. Our construction uses a
Yuxiang Yang 0003 +3 more
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Error Probability Mitigation in Quantum Reading Using Classical Codes
Entropy, 2021 A general framework describing the statistical discrimination of an ensemble of quantum channels is given by the name quantum reading. Several tools can be applied in quantum reading to reduce the error probability in distinguishing the ensemble of ...
Francisco Revson Fernandes Pereira +1 more
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Algebraic techniques in designing quantum synchronizable codes [PDF]
, 2013 Quantum synchronizable codes are quantum error-correcting codes that can correct the effects of quantum noise as well as block synchronization errors. We improve the previously known general framework for designing quantum synchronizable codes through ...
Fujiwara, Yuichiro +2 more
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Codeword stabilized quantum codes [PDF]
2008 IEEE International Symposium on Information Theory, 2008 5 pages, 1 eps figure, ((11,48,3)) code removed, encoding circuits added, typos corrected in codewords and ...
Andrew W. Cross +3 more
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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
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, 2007 Since quantum information is continuous, its handling is sometimes surprisingly harder than the classical counterpart. A typical example is cloning; making a copy of digital information is straightforward but it is not possible exactly for quantum information. The question in this paper is whether or not quantum network coding is possible.
Masahito Hayashi +4 more
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