Frozen Quantum Coherence

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.

6+4 pages, 1 figure; close to published version

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• Maximal steered coherence and its conversion to entanglement in multiple bosonic reservoirs
• Ultrafast dynamics of photoinduced charge separation
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• Enhancing coherence of a state by stochastic strictly incoherent operations
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• Remote Creation of Quantum Coherence
• Quantum coherence in mutually unbiased bases
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
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• Unified framework for quantumness -- coherence, discord, and entanglement
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• Optimal approximations of available states and a triple uncertainty relation
• Thermal effects on coherence and excitation transfer
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
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• Experimental investigation of quantum uncertainty relations with classical shadows
• Universal freezing of asymmetry
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Coherence in quantum estimation
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• Two-particle quantum correlations in stochastically-coupled networks
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• Experimental demonstration of robustness of Gaussian quantum coherence
• Coherent preorder of quantum states
• Strictly incoherent operations for one-qubit systems
• Experimental demonstration of complementarity relations between quantum steering criteria