Quantifying dynamical coherence with coherence measures

Abstract

Quantum coherence, like entanglement, is a fundamental resource in quantum information. In recent years, remarkable progress has been made in formulating resource theory of coherence from a broader perspective. The notions of block-coherence and POVM-based coherence have been established. Certain challenges, however, remain to be addressed. It is difficult to define incoherent operations directly, without requiring incoherent states, which proves a major obstacle in establishing the resource theory of dynamical coherence. In this paper, we overcome this limitation by introducing an alternate definition of incoherent operations, induced via coherence measures, and quantify dynamical coherence based on this definition. Finally, we apply our proposed definition to quantify POVM-based dynamical coherence.

arXiv comment7 pages, 1 figure, close to published version

References in corpus (38)

• Quantum entanglement
• Introducing Quantum Discord
• Quantifying Coherence
• Bell nonlocality
• Quantum Coherence as a Resource
• Quantum Resource Theories
• Measuring Quantum Coherence with Entanglement
• Reference frames, superselection rules, and quantum information
• Robustness of coherence: An operational and observable measure of quantum coherence
• Vibrations, Quanta and Biology
• 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
• Converting Coherence to Quantum Correlations
• The general structure of quantum resource theories
• The extraction of work from quantum coherence
• Trace-distance measure of coherence
• Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Max- relative entropy of coherence: an operational coherence measure
• Quantum-coherence quantifiers based on the Tsallis relative $\alpha$-entropies
• Coherence and measurement in quantum thermodynamics
• Alternative framework for quantifying coherence
• Simulating positive-operator-valued measures with projective measurements
• Quantifying Superposition
• Coherence-assisted single-shot cooling by quantum absorption refrigerators
• Non-Local Advantage of Quantum Coherence
• Geometric lower bound for a quantum coherence measure
• Structure of the resource theory of quantum coherence
• Resource theory of coherence based on positive-operator-valued measures
• All quantum resources provide an advantage in exclusion tasks
• Dynamical Resource Theory of Quantum Coherence
• Operational interpretation of weight-based resource quantifiers in convex quantum resource theories of states
• Family of coherence measures and duality between quantum coherence and path distinguishability
• Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
• Quantifying coherence with respect to general quantum measurements
• Quantifying dynamical coherence with dynamical entanglement
• Converting coherence based on positive-operator-valued measures into entanglement

Cited by in corpus (4)

• Partial coherence versus entanglement
• Detecting coherence with respect to general quantum measurements
• Estimating coherence with respect to general quantum measurements
• Methods of constructing superposition measures