Geometry of skew information-based quantum coherence

TL;DR

This paper investigates the properties of skew information-based quantum coherence, providing explicit formulas for specific quantum states and analyzing how coherence behaves under various quantum channels.

Contribution

It derives explicit formulas for skew information-based coherence for Werner, isotropic, Bell-diagonal, and X states, and explores coherence surfaces under different quantum channels.

Findings

Skew information-based coherence exhibits both similarities and differences compared to other coherence measures.

Explicit coherence surfaces are characterized for various quantum states.

Coherence behavior under local nondissipative channels is analyzed.

Abstract

We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensor of mutually unbiased bases (AMUBs). We also give surfaces of skew information-based coherence for Bell-diagonal states and a special class of X states in both computational basis and in mutually unbiased bases. Moreover, we depict the surfaces of the skew information-based coherence for Bell-diagonal states under various types of local nondissipative quantum channels. The results show similar as well as different features compared with relative entropy of coherence and l1 norm of coherence.