An alternative framework for quantifying coherence of quantum channels

Abstract

We present an alternative framework for quantifying the coherence of quantum channels, which contains three conditions: the faithfulness, nonincreasing under sets of all the incoherent superchannels and the additivity. Based on the characteristics of the coherence of quantum channels and the additivity of independent channels, our framework provides an easier way to certify whether a function is a bona fide coherence measure of quantum channels. Detailed example is given to illustrate the effectiveness and advantages of our framework.

arXiv comment13 pages

References in corpus (30)

• Quantifying Coherence
• Dephasing assisted transport: Quantum networks and biomolecules
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Robustness of coherence: An operational and observable measure of quantum coherence
• Vibrations, Quanta and Biology
• Observable measure of quantum coherence in finite dimensional systems
• Catalytic Coherence
• Quantum coherence, time-translation symmetry and thermodynamics
• The resource theory of informational nonequilibrium in thermodynamics
• Frozen Quantum Coherence
• Role of quantum coherence in chromophoric energy transport
• Low-temperature thermodynamics with quantum coherence
• Trace-distance measure of coherence
• Witnessing Quantum Coherence: from solid-state to biological systems
• The Fidelity and Trace Norm Distances for Quantifying Coherence
• Alternative framework for quantifying coherence
• Quantifying Superposition
• Resource Destroying Maps
• Quantifying Operations with an Application to Coherence
• Resource Theory of Coherence - Beyond States
• Coherifying quantum channels
• Coherence non-generating channels
• Coherence of quantum channels
• Accessible Coherence and Coherence Distribution
• Witnessing quantum coherence in the presence of noise
• Coherence of quantum channels
• Collapse-in and Collapse-out in Partial Measurement in Quantum Mechanics and its WISE Interpretation
• Correlation Measure Equivalence in Dynamic Causal Structures of Quantum Gravity
• The uniqueness of the integration factor associated with the exchanged heat in thermodynamics

Cited by in corpus (3)

• Imaginarity of quantum channels: Refinement and Alternative
• Quantifying coherence of quantum channels based on the generalized $\alpha$-$z$-relative Rényi entropy
• Coherence monotones of quantum channels based on two generalized quantum relative entropies