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Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2019)021
Abstract: Abstract Motivated by the close relationship between quantum error-correction, topological order, the holographic AdS/CFT duality, and tensor networks, we initiate the study of approximate quantum error-detecting codes in matrix product states (MPS). We first show…
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Keywords:
error detection;
detecting codes;
error detecting;
energy ... See more keywords
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Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep11(2021)192
Abstract: Abstract Bilocal holography is a constructive approach to the higher spin theory holographically dual to O(N ) vector models. In contrast to other approaches to bulk reconstruction, bilocal holography does not take input from the…
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Keywords:
bulk;
degrees freedom;
holography;
error correction ... See more keywords
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Published in 2019 at "Quantum Information Processing"
DOI: 10.1007/s11128-019-2234-5
Abstract: We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well.…
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Keywords:
assisted quantum;
codes arbitrary;
correcting codes;
error correcting ... See more keywords
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Published in 2017 at "Nature Communications"
DOI: 10.1038/s41467-017-01895-5
Abstract: Quantum-enhanced measurements hold the promise to improve high-precision sensing ranging from the definition of time standards to the determination of fundamental constants of nature. However, quantum sensors lose their sensitivity in the presence of noise.…
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Keywords:
quantum;
error;
error correction;
trapped ions ... See more keywords
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Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/ae216a
Abstract: Quantum error mitigation (QEM) protocols have provably exponential bounds on the cost scaling; however, exploring which regimes QEM can recover usable results is still of sizable interest. Herein, we are interested in the performance of…
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Keywords:
quantum error;
signal processing;
error mitigation;
quantum signal ... See more keywords
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Published in 2025 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ae067c
Abstract: In the field of quantum error mitigation, most current research separately addresses quantum gate noise mitigation and measurement noise mitigation. However, due to the typically high complexity of measurement noise mitigation methods, such as those…
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Keywords:
mitigation;
noise mitigation;
quantum error;
measurement noise ... See more keywords
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Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab25de
Abstract: The performance of a quantum error-correction process is determined by the likelihood that a random configuration of errors introduced to the system will lead to the corruption of encoded logical information. In this work we…
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Keywords:
error;
quantum error;
error correction;
code ... See more keywords
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Published in 2021 at "National Science Review"
DOI: 10.1093/nsr/nwab011
Abstract: Quantum error correction is an essential ingredient for universal quantum computing. Despite tremendous experimental efforts in the study of quantum error correction, to date, there has been no demonstration in the realisation of universal quantum…
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Keywords:
code;
error;
superconducting qubits;
error correcting ... See more keywords
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Published in 2024 at "Physical review letters"
DOI: 10.1103/dttc-ksdn
Abstract: We show that a subset of the basis for the irreducible representations of a tensor-product SU(2) rotation forms a covariant approximate quantum error-correcting code with transversal U(1) logical gates. Generalizing previous work on "thermodynamic codes"…
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Keywords:
correcting codes;
covariant quantum;
error correcting;
quantum error ... See more keywords
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Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.012316
Abstract: The performance of the circuit-based surface-GKP bosonic quantum error correction code under noise due to finite squeezing of the GKP states and photon losses is investigated. The authors show under what conditions fault-tolerant quantum error…
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Keywords:
error correction;
quantum error;
surface;
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Published in 2020 at "Physical Review A"
DOI: 10.1103/physreva.101.032338
Abstract: Topological quantum error-correcting codes are a promising candidate for building fault-tolerant quantum computers. Decoding topological codes optimally, however, is known to be a computationally hard problem. Various decoders have been proposed that achieve approximately optimal…
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Keywords:
error correcting;
topological quantum;
error;
correcting codes ... See more keywords