Results 61 to 70 of about 23,457 (163)
Foliated Quantum Error-Correcting Codes [PDF]
Physical Review Letters, 2016 We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger cluster state, implementing foliated quantum error correction.
Bolt, A. +3 more
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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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Proceedings of the AAAI Conference on Artificial IntelligenceQuantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. QECC, as its classical counterpart (ECC), enables the reduction of error rates, by distributing quantum logical information across redundant physical qubits, such that errors can be detected and corrected. In this work, we efficiently train novel
Yoni Choukroun, Lior Wolf
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Entropy of a Quantum Error Correction Code [PDF]
Open Systems & Information Dynamics, 2008 We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code.
David W. Kribs +2 more
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Decoding Quantum Error Correction Codes With Local Variation
IEEE Transactions on Quantum Engineering, 2020 In this article, we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states.
Michael Hanks +2 more
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All-optical cat-code quantum error correction
Physical Review Research, 2022 The cat code is a promising encoding scheme for bosonic quantum error correction as it allows for correction against losses—the dominant error mechanism in most bosonic systems.
Jacob Hastrup, Ulrik Lund Andersen
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Physical Review X, 2012 Many quantum systems are being investigated in the hope of building a large-scale quantum computer. All of these systems suffer from decoherence, resulting in errors during the execution of quantum gates. Quantum error correction enables reliable quantum
Austin G. Fowler +3 more
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IEEE AccessError correction is a crucial stage in quantum key distribution (QKD) protocols — a promising field of modern cryptography where the secrecy of the shared key information is guaranteed by the laws of quantum mechanics.
Vladimir I. Morozov +3 more
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Quantum error correction with the semion code
New Journal of Physics, 2019 Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume +3 more
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Quantum Computing and Error Correction
, 2003 The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system.
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