Alternative framework for quantifying coherence

Abstract

We propose an alternative framework for quantifying coherence. The framework is based on a natural property of coherence, the additivity of coherence for subspace-independent states, which is described by an operation-independent equality rather than operation-dependent inequalities and therefore applicable to various physical contexts. Our framework is compatible with all the known results on coherence measures but much more flexible and convenient for applications, and by using it many open questions can be resolved.

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References in corpus (14)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Measuring Quantum Coherence with Entanglement
• Dephasing assisted transport: Quantum networks and biomolecules
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Observable measure of quantum coherence in finite dimensional systems
• Quantum coherence, time-translation symmetry and thermodynamics
• The resource theory of quantum reference frames: manipulations and monotones
• Using entanglement against noise in quantum metrology
• Frozen Quantum Coherence
• Role of quantum coherence in chromophoric energy transport
• Extending Noether's theorem by quantifying the asymmetry of quantum states
• Witnessing Quantum Coherence: from solid-state to biological systems
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Measuring the quality of a quantum reference frame: the relative entropy of frameness

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