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Thermodynamics of Error Correction [PDF]

open access: yesPhysical Review X, 2015
Information processing at the molecular scale is limited by thermal fluctuations. This can cause undesired consequences in copying information since thermal noise can lead to errors that can compromise the functionality of the copy.
Pablo Sartori, Simone Pigolotti
doaj   +11 more sources

Learning time-dependent noise to reduce logical errors: real time error rate estimation in quantum error correction [PDF]

open access: yesNew Journal of Physics, 2017
Quantum error correction is important to quantum information processing, which allows us to reliably process information encoded in quantum error correction codes. Efficient quantum error correction benefits from the knowledge of error rates.
Ming-Xia Huo, Ying Li
doaj   +2 more sources

Beyond ‘error correction’ [PDF]

open access: yesFrontiers in Psychology, 2012
Building upon Ashby’s claim that “The whole function of the brain is summed up in: error-correction,” Clark elaborates an integrative “hierarchical generative model” of the mind/brain. A Helmholtzian worldview permeates Clark’s model insofar as it presupposes an inherently ambiguous relationship between mind and world; a relation that calls for an ...
Paco eCalvo, John eSymons, Emma eMartín
doaj   +4 more sources

Algebraic and information-theoretic conditions for operator quantum error-correction [PDF]

open access: yesPhys. Rev. A 064304(R) (2007), 2005
Operator quantum error-correction is a technique for robustly storing quantum information in the presence of noise. It generalizes the standard theory of quantum error-correction, and provides a unified framework for topics such as quantum error-correction, decoherence-free subspaces, and noiseless subsystems.
A. Y. Kitaev   +7 more
arxiv   +5 more sources

Quantum error correction below the surface code threshold. [PDF]

open access: yesNature
Quantum error correction1–4 provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, in which the logical error rate is suppressed exponentially as more qubits are added.
Google Quantum AI and Collaborators.
europepmc   +2 more sources

Flag fault-tolerant error correction with arbitrary distance codes [PDF]

open access: yesQuantum, 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
doaj   +4 more sources

Quantum Error Correction of Time-Correlated Errors [PDF]

open access: yesarXiv, 2006
The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur later due to physical processes specific for ...
Lu, Feng, Marinescu, Dan C.
arxiv   +4 more sources

Improvement of Error Correction in Nonequilibrium Information Dynamics [PDF]

open access: yesEntropy, 2023
Errors are inevitable in information processing and transfer. While error correction is widely studied in engineering, the underlying physics is not fully understood.
Qian Zeng, Ran Li, Jin Wang
doaj   +2 more sources

Nonlinear Error Correction Models [PDF]

open access: yesJournal of Time Series Analysis, 2002
The relationship between cointegration and error correction (EC) models is well characterized in a linear context, but the extension to the nonlinear context is still a challenge.
Escribano, Álvaro, Mira, Santiago
core   +8 more sources

Research on time-division multiplexing for error correction and privacy amplification in post-processing of quantum key distribution [PDF]

open access: yesScientific Reports
The 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
doaj   +2 more sources

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