Geometric-Like imaginarity: quantification and state conversion

• URL: http://arxiv.org/abs/2410.20879v1
• Date: Mon, 28 Oct 2024 09:56:51 GMT
• Title: Geometric-Like imaginarity: quantification and state conversion
• Authors: Meng-Li Guo, Bo Li, Shao-Ming Fei,
• Abstract summary: We propose a well defined measure of imaginarity, the geometric-like measure of imaginarity. Compared with the usual geometric imaginarity measure, this geometric-like measure of imaginarity exhibits smaller decay difference under quantum noisy channels and higher stability.
• Score: 4.917936997225074
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: From the perspective of resource-theoretic approach, this study explores the quantification of imaginary in quantum physics. We propose a well defined measure of imaginarity, the geometric-like measure of imaginarity. Compared with the usual geometric imaginarity measure, this geometric-like measure of imaginarity exhibits smaller decay difference under quantum noisy channels and higher stability. As applications, we show that both the optimal probability of state transformations from a pure state to an arbitrary mixed state via real operations, and the maximal probability of stochastic-approximate state transformations from a pure state to an arbitrary mixed state via real operations with a given fidelity $f$, are given by the geometric-like measure of imaginarity.

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