Results 11 to 20 of about 52,491 (267)
Error Correction in Dynamical Codes [PDF]
QuantumWe ask what is the general framework for a quantum error correcting code that is defined by a sequence of measurements. Recently, there has been much interest in Floquet codes and space-time codes.
Esther Xiaozhen Fu, Daniel Gottesman
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Flag Fault-Tolerant Error Correction for any Stabilizer Code
PRX Quantum, 2020 Conventional fault-tolerant quantum error-correction schemes require a number of extra qubits that grow linearly with the code’s maximum stabilizer generator weight.
Rui Chao, Ben W. Reichardt
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CRC Codes as Error Correction Codes [PDF]
ICC 2021 - IEEE International Conference on Communications, 2021 CRC codes have long since been adopted in a vast range of applications. The established notion that they are suitable primarily for error detection can be set aside through use of the recently proposed Guessing Random Additive Noise Decoding (GRAND). Hard-detection (GRAND-SOS) and soft-detection (ORBGRAND) variants can decode any short, high-rate block
Wei An 0001 +2 more
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Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
Cryptography, 2021 The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers +1 more
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Reduced complexity hard‐ and soft‐input BCH decoding with applications in concatenated codes
IET Circuits, Devices and Systems, 2021 Error correction coding for optical communication and storage requires high rate codes that enable high data throughput and low residual errors. Recently, different concatenated coding schemes were proposed that are based on binary BCH codes with low ...
Jürgen Freudenberger +2 more
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Frontiers in Physics, 2022 Quantum error correction technology is a vital method to eliminate noise during the operation of quantum computers. To solve the problem caused by noise, in this paper, reinforcement learning is used to encode defects of Semion codes, and the experience ...
Hao-Wen Wang +6 more
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Flag fault-tolerant error correction with arbitrary distance codes [PDF]
Quantum, 2018 In this paper we introduce a general fault-tolerant quantum error correction protocol using flag circuits for measuring stabilizers of arbitrary distance codes. In addition to extending flag error correction beyond distance-three codes for the first time,
Christopher Chamberland +1 more
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Improved adaptive belief propagation algorithm with reduced complexity for concatenated SPC‐RS codes
Electronics Letters, 2023 In this letter, a novel single parity check‐aided minimum sum (SPC‐aided MS) algorithm is proposed. A cascaded compiled code scheme is used to approximate the adaptive belief propagation (ABP) algorithm for Reed–Solomon (RS) codes using the min sum (MS ...
Yuan Cheng +5 more
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Index coding and error correction [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 A problem of index coding with side information was first considered by Y. Birk and T. Kol (IEEE INFOCOM, 1998). In the present work, a generalization of index coding scheme, where transmitted symbols are subject to errors, is studied. Error-correcting methods for such a scheme, and their parameters, are investigated.
Son Hoang Dau +2 more
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Quantum error correction with fractal topological codes [PDF]
Quantum, 2023 Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension $2+\epsilon$, which admits a fault-tolerant non-Clifford CCZ gate \cite{zhu2021topological}.
Arpit Dua +2 more
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