Coherence measures based on sandwiched Rényi relative entropy

Abstract

Coherence is a fundamental ingredient for quantum physics and a key resource for quantum information theory. Baumgratz, Cramer, and Plenio established a rigorous framework (BCP framework) for quantifying coherence [T. Baumgratz, M. Cramer, and M. B. Plenio, Phys. Rev. Lett. \textbf{113}, 140401 (2014)]. In this paper, under the BCP framework we provide two classes of coherence measures based on the sandwiched Rényi relative entropy. We also prove that we can not get new coherence measures $f(C(\cdot ))$ by a function $f$ acting on a given coherence measure $C$, except the case of qubit states.

4 pages,no figure. Comments are welcome

References in corpus (11)

• Measuring Quantum Coherence with Entanglement
• Frozen Quantum Coherence
• Quantum coherence and geometric quantum discord
• Quantum Coherence via Skew Information and Its Polygamy
• Max- relative entropy of coherence: an operational coherence measure
• Operational one-to-one mapping between coherence and entanglement measures
• Asymmetry and coherence weight of quantum states
• Family of coherence measures and duality between quantum coherence and path distinguishability
• Estimating coherence measures from limited experimental data available
• Coherence and entanglement measures based on Rényi relative entropies
• Optimization free measures of quantum resources

Cited by in corpus (4)

• Coherence measures with respect to general quantum measurements
• Estimating coherence with respect to general quantum measurements
• Coherence and entanglement dynamics in Shor's algorithm
• Parameterized coherence measure