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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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Fault-tolerant hyperbolic Floquet quantum error correcting codes [PDF]
Quantum, 2023 A central goal in quantum error correction is to reduce the overhead of fault-tolerant quantum computing by increasing noise thresholds and reducing the number of physical qubits required to sustain a logical qubit.
Ali Fahimniya +6 more
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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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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-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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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes [PDF]
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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Majorana dimers and holographic quantum error-correcting codes [PDF]
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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Complexity and order in approximate quantum error-correcting codes [PDF]
Nature Physics, 2023 Some form of quantum error correction is necessary to produce large-scale fault-tolerant quantum computers and finds broad relevance in physics. Most studies customarily assume exact correction.
Jinmin Yi +3 more
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Error-Correcting Codes for Nanopore Sequencing [PDF]
IEEE Transactions on Information Theory, 2023 Nanopore sequencing, superior to other sequencing technologies for DNA storage in multiple aspects, has recently attracted considerable attention. Its high error rates, however, demand thorough research on practical and efficient coding schemes to enable
Anisha Banerjee +3 more
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Deep Error-Correcting Output Codes
Algorithms, 2023 Ensemble learning, online learning and deep learning are very effective and versatile in a wide spectrum of problem domains, such as feature extraction, multi-class classification and retrieval.
Li-Na Wang +4 more
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