A decoherence theorem in quantum-network synchronization

Shuangshuang Fu, Guodong Shi, Ian R. Petersen

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    1 Citation (Scopus)

    Abstract

    In this paper, we study the decoherence property of synchronization master equation for networks of qubits interconnected by swapping operators. The network Hamiltonian is assumed to be diagonal with different entries so that it might not be commutative with the swapping operators. We prove a theorem establishing a general condition under which almost complete decohernece is achieved, i.e., all but two of the off-diagonal entries of the network density operator asymptotically tend to zero. This result explicitly shows that quantum dissipation networks tend to forget the information initially encoded when the internal (induced by network Hamiltonian) and external (induced by swapping operators) qubit interactions do not comply with each other.

    Original languageEnglish
    Title of host publication2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1841-1846
    Number of pages6
    ISBN (Electronic)9781479977871
    DOIs
    Publication statusPublished - 4 Nov 2015
    EventIEEE Conference on Control and Applications, CCA 2015 - Sydney, Australia
    Duration: 21 Sept 201523 Sept 2015

    Publication series

    Name2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

    Conference

    ConferenceIEEE Conference on Control and Applications, CCA 2015
    Country/TerritoryAustralia
    CitySydney
    Period21/09/1523/09/15

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