Quantum error-detection at low energies
Sign Up to like & getrecommendations! 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… read more here.
Keywords: error detection; detecting codes; error detecting; energy ... See more keywords
Quantum error correction and holographic information from bilocal holography
Sign Up to like & getrecommendations! 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… read more here.
Keywords: bulk; degrees freedom; holography; error correction ... See more keywords
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Sign Up to like & getrecommendations! 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.… read more here.
Keywords: assisted quantum; codes arbitrary; correcting codes; error correcting ... See more keywords
Dissipative quantum error correction and application to quantum sensing with trapped ions
Sign Up to like & getrecommendations! 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.… read more here.
Keywords: quantum; error; error correction; trapped ions ... See more keywords
The role of entropy in topological quantum error correction
Sign Up to like & getrecommendations! 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… read more here.
Keywords: error; quantum error; error correction; code ... See more keywords
Experimental exploration of five-qubit quantum error correcting code with superconducting qubits
Sign Up to like & getrecommendations! 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… read more here.
Keywords: code; error; superconducting qubits; error correcting ... See more keywords
Fault-tolerant bosonic quantum error correction with the surface–Gottesman-Kitaev-Preskill code
Sign Up to like & getrecommendations! 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… read more here.
Keywords: error correction; quantum error; surface;
Neural ensemble decoding for topological quantum error-correcting codes
Sign Up to like & getrecommendations! 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… read more here.
Keywords: error correcting; topological quantum; error; correcting codes ... See more keywords
Topological graph states and quantum error-correction codes
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review A"
DOI: 10.1103/physreva.105.042418
Abstract: Deciding if a given family of quantum states is topologically ordered is an important but nontrivial problem in condensed matter physics and quantum information theory. We derive necessary and sufficient conditions for a family of… read more here.
Keywords: graph states; correction codes; error correction; quantum error ... See more keywords
Hardware-efficient bosonic quantum error-correcting codes based on symmetry operators
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.032323
Abstract: We establish a symmetry-operator framework for designing quantum error correcting~(QEC) codes based on fundamental properties of the underlying system dynamics. Based on this framework, we propose three hardware-efficient bosonic QEC codes that are suitable for… read more here.
Keywords: code; error; error correcting; quantum error ... See more keywords
Quantum error correction and entanglement spectrum in tensor networks
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.026008
Abstract: A sort of planar tensor networks with tensor constraints is investigated as a model for holography. We study the greedy algorithm generated by tensor constraints and propose the notion of critical protection (CP) against the… read more here.
Keywords: tensor; entanglement spectrum; tensor networks; error correction ... See more keywords