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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Cited by in corpus (19)

• Measuring Quantum Coherence with Entanglement
• Universal freezing of quantum correlations within the geometric approach
• Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
• Detecting macroscopic quantum coherence with a cavity optomechanical system
• Maximal coherence in generic basis
• A new coherence measure based on fidelity
• Uncertainty Relations for Quantum Coherence
• Ultrafast dynamics of photoinduced charge separation
• Coherence breaking channels and coherence sudden death
• Enhancing coherence of a state by stochastic strictly incoherent operations
• Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries
• The complementarity relations of quantum coherence in quantum information processing
• Remote Creation of Quantum Coherence
• Quantum coherences of indistinguishable particles
• Unified framework for quantumness -- coherence, discord, and entanglement
• Thermal effects on coherence and excitation transfer
• Universal freezing of asymmetry
• Coherence in quantum estimation
• Relating quantum coherence and correlations with entropy-based measures