Ordering states of Tsallis relative α-entropies of coherence

2016/07/06 by Zhang, Fu-Gang, Shao, Lian-He, Luo, Yu +1
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1607.01591

Abstract

In this paper, we study the ordering states with Tsallis relative α-entropies of coherence and l₁ norm of coherence for single-qubit states. We show that any Tsallis relative α-entropies of coherence and l₁ norm of coherence give the same ordering for single-qubit pure states. However, they don't generate the same ordering for some high dimensional pure states, even though these states are pure. We also consider three special Tsallis relative α-entropies of coherence, such as C₁ ,C₂ and C_(1)/(2), and show any one of these three measures and C_l₁ will not generate the same ordering for single-qubit mixed states. Furthermore, we find that any two of these three special measures generate different ordering for single-qubit mixed states.

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