Results 1 to 10 of about 103,960 (266)
Ciliates learn to diagnose and correct classical error syndromes in mating strategies [PDF]
Frontiers in Microbiology, 2013 Preconjugal ciliates learn classical repetition error-correction codes to safeguard mating messages and replies from corruption by rivals and local ambient noise.
Kevin Bradley Clark
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Generalized number-phase lattice encoding of a bosonic mode for quantum error correction [PDF]
Nature CommunicationsBosonic systems offer unique advantages for quantum error correction, as a single bosonic mode provides a large Hilbert space to redundantly encode quantum information.
Dong-Long Hu +3 more
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Adaptive syndrome measurements for Shor-style error correction [PDF]
Quantum, 2023 The Shor fault-tolerant error correction (FTEC) scheme uses transversal gates and ancilla qubits prepared in the cat state in syndrome extraction circuits to prevent propagation of errors caused by gate faults.
Theerapat Tansuwannont +2 more
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Error correction by Reed–Solomon codes using its automorphisms
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2021 The article explores the syndrome invariants of АГ-group of automorphisms of Reed–Solomon codes (RS-codes) that are a joint group of affine and cyclic permutations. The found real invariants are a set of norms of N Г-orbits that make up one or another АГ-
V. A. Lipnitsky, S. I. Semyonov
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Measurement-based estimator scheme for continuous quantum error correction
Physical Review Research, 2022 Canonical discrete quantum error correction (DQEC) schemes use projective von Neumann measurements on stabilizers to discretize the error syndromes into a finite set, and fast unitary gates are applied to recover the corrupted information.
Sangkha Borah +5 more
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Syndrome spectrums of error orbits in RS-codes
Системный анализ и прикладная информатика, 2020 This article is devoted to the research of the properties of syndromes of errors in Reed-Solomon codes. RS-codes are built on non-binary alphabets. So, unlike BCH-codes, RS-codes contain an extremely large variety of correctable errors.
V. A. Lipnitski, S. I. Semyonov
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The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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Optimal Low Density Parity Check Matrices to Correct Quantum Key Errors for QKD
Mìkrosistemi, Elektronìka ta Akustika, 2020 In this paper, the parity-check matrices that can be used in low density parity check (LDPC) based error correction method for quantum key distribution are analyzed.
Bohdan Olehovych Bilash
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Iterative Shaping of Error Patterns For Normal Syndrome Decoding of Iterative Codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2022 The problem of two-dimensional syndrome-norm decoding of iterative codes based on a library of error patterns is considered. In two-dimensional coding, sequence code is first transformed into a code matrix, and then the row and column check code are ...
X. H. Ren +2 more
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Syndrome-coupled rate-compatible error-correcting codes [PDF]
2017 IEEE Information Theory Workshop (ITW), 2017 Rate-compatible error-correcting codes (ECCs), which consist of a set of extended codes, are of practical interest in both wireless communications and data storage. In this work, we first study the lower bounds for rate-compatible ECCs, thus proving the existence of good rate-compatible codes.
Huang, Pengfei +4 more
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