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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Abstract | 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. |
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AbstractList | Phys. Rev. Lett. 114, 210401 (2015) 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. 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. |
Author | Cianciaruso, Marco Adesso, Gerardo Bromley, Thomas R |
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BackLink | https://doi.org/10.1103/PhysRevLett.114.210401$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1412.7161$$DView paper in arXiv |
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DOI | 10.48550/arxiv.1412.7161 |
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Snippet | 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... Phys. Rev. Lett. 114, 210401 (2015) We analyse under which dynamical conditions the coherence of an open quantum system is totally unaffected by noise. For a... |
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SubjectTerms | 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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Title | Frozen Quantum Coherence |
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