Imaginarity of quantum channels: Refinement and Alternative

TL;DR

This paper introduces a new framework for quantifying the imaginarity of quantum channels, proposes an alternative verification method, and presents three measures based on robustness, trace norm, and entropy.

Contribution

It provides a novel framework and alternative approach for measuring quantum channel imaginarity, along with three specific measures and their properties.

Findings

Three imaginarity measures based on robustness, trace norm, and entropy.

An alternative framework simplifies the verification process.

Properties of the proposed imaginarity measures are established.

Abstract

In this paper, we introduce the framework for quantifying the imaginarity of quantum channels. Besides, an alternative framework is given together to simplify the process of verifying the condition. We present three imaginarity measures of quantum channels based on the robustness, the trace norm, and the entropy, respectively. Some properties are also given.