Universal Framework for Quantum Error-Correcting Codes [PDF]
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases ...
Zhuo Li, Lijuan Xing
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Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array [PDF]
Entropy, 2022 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.
Shanqi Pang, Hanxiao Xu, Mengqian Chen
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Quantum Error-Correcting Codes Based on Orthogonal Arrays [PDF]
Entropy, 2023 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.
Rong Yan +3 more
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
Frontiers in Physics, 2023 This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
IEEE Access, 2020 The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors are more probable than qudit ...
Carlos Galindo +3 more
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Lattice Surgery for Dummies [PDF]
SensorsQuantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors ...
Avimita Chatterjee +2 more
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Research on time-division multiplexing for error correction and privacy amplification in post-processing of quantum key distribution [PDF]
Scientific ReportsThe post-processing of quantum key distribution mainly includes error correction and privacy amplification. The error correction algorithms and privacy amplification methods used in the existing quantum key distribution are completely unrelated. Based on
Lei Chen, Xiao-Ming Chen, Ya-Long Yan
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Some new QEC MDS codes with large minimum distance [PDF]
Scientific ReportsThe advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing.
Lanqiang Li +3 more
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Quantum variational learning for quantum error-correcting codes [PDF]
Quantum, 2022 Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao +4 more
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Quantum error-correction using humming sparrow optimization based self-adaptive deep cnn noise correction module [PDF]
Scientific ReportsThe error correction model’s main purpose in heavy hexagonal quantum codes is to improve their reliability for quantum computing applications. Existing challenges include finding the optimal decoder for quantum error correction in heavy hexagonal codes ...
Umesh Uttamrao Shinde, Ravikumar Bandaru
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