Global Estimates of Errors in Quantum Computation by the Feynman–Vernon Formalism

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en Aurell, Erik 2018-12-10T10:15:57Z 2018-12-10T10:15:57Z 2018
dc.identifier.citation Aurell , E 2018 , ' Global Estimates of Errors in Quantum Computation by the Feynman–Vernon Formalism ' Journal of Statistical Physics , vol. 171 , no. 5 , pp. 745–767 . DOI: 10.1007/s10955-018-2037-6 en
dc.identifier.issn 0022-4715
dc.identifier.other PURE UUID: 45cd7c76-2749-4ee1-ac63-177fdbf6d26d
dc.identifier.other PURE ITEMURL:
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dc.description.abstract The operation of a quantum computer is considered as a general quantum operation on a mixed state on many qubits followed by a measurement. The general quantum operation is further represented as a Feynman–Vernon double path integral over the histories of the qubits and of an environment, and afterward tracing out the environment. The qubit histories are taken to be paths on the two-sphere (Formula presented.) as in Klauder’s coherent-state path integral of spin, and the environment is assumed to consist of harmonic oscillators initially in thermal equilibrium, and linearly coupled to to qubit operators (Formula presented.). The environment can then be integrated out to give a Feynman–Vernon influence action coupling the forward and backward histories of the qubits. This representation allows to derive in a simple way estimates that the total error of operation of a quantum computer without error correction scales linearly with the number of qubits and the time of operation. It also allows to discuss Kitaev’storic code interacting with an environment in the same manner. en
dc.format.extent 23
dc.format.extent 745–767
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Journal of Statistical Physics en
dc.relation.ispartofseries Volume 171, issue 5 en
dc.rights openAccess en
dc.subject.other Statistical and Nonlinear Physics en
dc.subject.other Mathematical Physics en
dc.subject.other 113 Computer and information sciences en
dc.title Global Estimates of Errors in Quantum Computation by the Feynman–Vernon Formalism en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Centre of Excellence in Computational Inference, COIN
dc.contributor.department Department of Applied Physics en
dc.subject.keyword Feynman–Vernon method
dc.subject.keyword Noisy quantum computing
dc.subject.keyword Statistical and Nonlinear Physics
dc.subject.keyword Mathematical Physics
dc.subject.keyword 113 Computer and information sciences
dc.identifier.urn URN:NBN:fi:aalto-201812106037
dc.identifier.doi 10.1007/s10955-018-2037-6
dc.type.version publishedVersion

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