Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Sign Up to like & getrecommendations! Published in 2019 at "Quantum Information Processing"
DOI: 10.1007/s11128-019-2234-5
Abstract: We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well.… read more here.
Keywords: assisted quantum; codes arbitrary; correcting codes; error correcting ... See more keywords
New lower bounds on q-ary error-correcting codes
Sign Up to like & getrecommendations! Published in 2018 at "Cryptography and Communications"
DOI: 10.1007/s12095-018-0302-9
Abstract: Let Aq (n, d) denote the maximum size of a q-ary code with length n and minimum distance d. For most values of n and d, only lower and upper bounds on Aq (n, d)… read more here.
Keywords: bounds ary; correcting codes; error correcting; lower bounds ... See more keywords
Quantum illumination assistant with error-correcting codes
Sign Up to like & getrecommendations! Published in 2020 at "New Journal of Physics"
DOI: 10.1088/1367-2630/ab6064
Abstract: 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… read more here.
Keywords: detection; error; correcting codes; error correcting ... See more keywords
Neural ensemble decoding for topological quantum error-correcting codes
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.032338
Abstract: Topological quantum error-correcting codes are a promising candidate for building fault-tolerant quantum computers. Decoding topological codes optimally, however, is known to be a computationally hard problem. Various decoders have been proposed that achieve approximately optimal… read more here.
Keywords: error correcting; topological quantum; error; correcting codes ... See more keywords
Neural Belief-Propagation Decoders for Quantum Error-Correcting Codes.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.122.200501
Abstract: Belief-propagation (BP) decoders play a vital role in modern coding theory, but they are not suitable to decode quantum error-correcting codes because of a unique quantum feature called error degeneracy. Inspired by an exact mapping… read more here.
Keywords: belief propagation; error correcting; propagation decoders; error ... See more keywords
Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.110502
Abstract: Quantum error correction was invented to allow for fault-tolerant quantum computation. Systems with topological order turned out to give a natural physical realization of quantum error correcting codes (QECC) in their ground spaces. More recently,… read more here.
Keywords: error correcting; translation invariant; spin; error ... See more keywords
Joint Demodulation and Error Correcting Codes Recognition Using Convolutional Neural Network
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3201354
Abstract: Demodulation of the communication signals and blind identification of error-correcting codes (ECC) are two essential purposes in adaptive modulation and coding (AMC) techniques and non-cooperative communication fields. The existing approaches treat them as two separate… read more here.
Keywords: demodulation; recognition; neural network; convolutional neural ... See more keywords
On Optimal k-Deletion Correcting Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2020.3028702
Abstract: Levenshtein introduced the problem of constructing k-deletion correcting codes in 1966, proved that the optimal redundancy of those codes is $ {O}(k~\log ~{N})$ for constant k, and proposed an optimal redundancy single-deletion correcting code (using… read more here.
Keywords: tex math; inline formula; deletion correcting; correcting codes ... See more keywords
Synchronization Strings and Codes for Insertions and Deletions—A Survey
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3056317
Abstract: Already in the 1960s, Levenshtein and others studied error-correcting codes that protect against synchronization errors, such as symbol insertions and deletions. However, despite significant efforts, progress on designing such codes has been lagging until recently,… read more here.
Keywords: error correcting; synchronization strings; synchronization; correcting codes ... See more keywords
Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24071000
Abstract: By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series… read more here.
Keywords: quantum error; quantum; binary quantum; error correcting ... See more keywords
Quantum Error-Correcting Codes Based on Orthogonal Arrays
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25040680
Abstract: In this paper, by using the Hamming distance, we establish a relation between quantum error-correcting codes ((N,K,d+1))s and orthogonal arrays with orthogonal partitions. Therefore, this is a generalization of the relation between quantum error-correcting codes… read more here.
Keywords: error correcting; quantum error; orthogonal arrays; correcting codes ... See more keywords