Universal control induced by noise

Christian Arenz, Daniel Burgarth, Paolo Facchi, Vittorio Giovannetti, Hiromichi Nakazato, Saverio Pascazio, Kazuya Yuasa

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    On the basis of the quantum Zeno effect, it has been recently shown [D. K. Burgarth, Nat. Commun. 5, 5173 (2014)2041-172310.1038/ncomms6173] that a strong-amplitude-damping process applied locally on a part of a quantum system can have a beneficial effect on the dynamics of the remaining part of the system. Quantum operations that cannot be implemented without the dissipation become achievable by the action of the strong dissipative process. Here we generalize this idea by identifying decoherence-free subspaces (DFSs) as the subspaces in which the dynamics becomes more complex. Applying methods from quantum control theory, we characterize the set of reachable operations within the DFSs. We provide three examples that become fully controllable within the DFSs while the control over the original Hilbert space in the absence of dissipation is trivial. In particular, we show that the (classical) Ising Hamiltonian is turned into a Heisenberg Hamiltonian by strong collective decoherence, which provides universal quantum computation within the DFSs. Moreover, we perform numerical gate optimization to study how the process fidelity scales with the noise strength. As a by-product, a subsystem fidelity that can be applied in other optimization problems for open quantum systems is developed.

    Original languageEnglish
    Article number062308
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume93
    Issue number6
    DOIs
    Publication statusPublished - 2016 Jun 6

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    dissipation
    optimization
    control theory
    quantum computation
    Hilbert space
    damping

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Universal control induced by noise. / Arenz, Christian; Burgarth, Daniel; Facchi, Paolo; Giovannetti, Vittorio; Nakazato, Hiromichi; Pascazio, Saverio; Yuasa, Kazuya.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 93, No. 6, 062308, 06.06.2016.

    Research output: Contribution to journalArticle

    Arenz, Christian ; Burgarth, Daniel ; Facchi, Paolo ; Giovannetti, Vittorio ; Nakazato, Hiromichi ; Pascazio, Saverio ; Yuasa, Kazuya. / Universal control induced by noise. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2016 ; Vol. 93, No. 6.
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