Identifiability of open quantum systems

Daniel Burgarth, Kazuya Yuasa

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We provide a general framework for the identification of open quantum systems. By looking at the input-output behavior, we try to identify the system inside a black box in which some Markovian time evolution takes place. Due to the generally irreversible nature of the dynamics, it is difficult to assure full controllability over the system. Still, we show that the system is identifiable up to similarity under a certain rank condition. The framework also covers situations relevant to standard quantum process tomography, where we do not have enough control over the system but have a tomographically complete set of initial states and observables. Remarkably, the similarity cannot in general be reduced to unitarity even for unitary systems, and the spectra of Hamiltonians are not identifiable without additional knowledge.

    Original languageEnglish
    Article number030302
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume89
    Issue number3
    DOIs
    Publication statusPublished - 2014 Mar 12

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    controllability
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    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Identifiability of open quantum systems. / Burgarth, Daniel; Yuasa, Kazuya.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 89, No. 3, 030302, 12.03.2014.

    Research output: Contribution to journalArticle

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