Quantifying coherence of quantum channels based on the generalized α-z-relative Rényi entropy

2025/06/12 by Fan, Jiaorui, Wu, Zhaoqi, Fei, Shao-Ming
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2506.10796

Abstract

By using the Choi-Jamiołkowski isomorphism, we propose a well-defined coherence measure of quantum channels based on the generalized α-z-relative Rényi entropy. In addition, we present an alternative coherence measure of quantum channels by quantifying the commutativity between the channels and the completely dephasing channels with the generalized α-z-relative Rényi entropy. Some elegant properties of the measures are illustrated in detail. Explicit formulas of these coherence measures are derived for some detailed typical quantum channels.

Citations

• Maximally coherent states
• The classical-quantum boundary for correlations: discord and related measures
• Quantum coherence in biological systems
• Decoherence, einselection, and the quantum origins of the classical
• Classical, quantum and total correlations

Cited by

• Quantifying imaginarity of quantum operations

Related

• Coherence monotones of quantum channels based on two generalized quantum relative entropies
• Coherence as entropy increment for Tsallis and Renyi entropies
• Coherence of quantum Gaussian channels
• Quantum coherence, discord and correlation measures based on Tsallis\n relative entropy
• Quantum coherence and entanglement under the influence of decoherence