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Aurell, E1,2
Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism
AbstractThe 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 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 . 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's toric code interacting with an environment in the same manner.
Subject AreaPhysics
MOST Discipline CataloguePhysics, Mathematical
Indexed BySCIE
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.KTH Royal Inst Technol, Dept Computat Sci & Technol, AlbaNova Univ Ctr, S-10691 Stockholm, Sweden
2.Aalto Univ, Dept Appl Phys & Comp Sci, POB 11100, Aalto 00076, Finland
3.Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Aurell, E. Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism[J]. JOURNAL OF STATISTICAL PHYSICS,2018,171(5):745-767.
APA Aurell, E.(2018).Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism.JOURNAL OF STATISTICAL PHYSICS,171(5),745-767.
MLA Aurell, E."Global Estimates of Errors in Quantum Computation by the Feynman-Vernon Formalism".JOURNAL OF STATISTICAL PHYSICS 171.5(2018):745-767.
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