Frozen Quantum Coherence

We analyse under which dynamical conditions the coherence of an open quantum system is totally unaffected by noise. For a single qubit, specific measures of coherence are found to freeze under different conditions, with no general agreement between them. Conversely, for an N-qubit system with even N...

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Bibliographic Details
Published inarXiv.org
Main Authors Bromley, Thomas R, Cianciaruso, Marco, Adesso, Gerardo
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.05.2015
Subjects
Coherence
Freezing
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Physics - Optics
Physics - Quantum Physics
Physics - Statistical Mechanics
Quantum entanglement
Quantum phenomena
Quantum theory
Qubits (quantum computing)
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Summary:We analyse under which dynamical conditions the coherence of an open quantum system is totally unaffected by noise. For a single qubit, specific measures of coherence are found to freeze under different conditions, with no general agreement between them. Conversely, for an N-qubit system with even N, we identify universal conditions in terms of initial states and local incoherent channels such that all bona fide distance-based coherence monotones are left invariant during the entire evolution. This finding also provides an insightful physical interpretation for the freezing phenomenon of quantum correlations beyond entanglement. We further obtain analytical results for distance-based measures of coherence in two-qubit states with maximally mixed marginals.
ISSN:2331-8422
DOI:10.48550/arxiv.1412.7161