Two imaginarity monotones induced by unified $(α,β)$-relative entropy

Fuente: arXiv
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Autori principali: Wu, Chuanfa, Wu, Zhaoqi
Natura: Preprint
Pubblicazione: 2025
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author Wu, Chuanfa
Wu, Zhaoqi
author_facet Wu, Chuanfa
Wu, Zhaoqi
contents Complex numbers play a pivotal role in both mathematics and physics, particularly in quantum mechanics, and are extensively utilized to depict the behavior of microscopic particles. Recognizing the significance of complex numbers, a framework of imaginarity resource theory has recently been established. In this work, we propose two types of imaginarity monotones induced by the unified $(α,β)$-relative entropy and investigate their properties. Moreover, we give explicit examples to illustrate our results.
format Preprint
id arxiv_https___arxiv_org_abs_2506_09799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two imaginarity monotones induced by unified $(α,β)$-relative entropy
Wu, Chuanfa
Wu, Zhaoqi
Quantum Physics
Complex numbers play a pivotal role in both mathematics and physics, particularly in quantum mechanics, and are extensively utilized to depict the behavior of microscopic particles. Recognizing the significance of complex numbers, a framework of imaginarity resource theory has recently been established. In this work, we propose two types of imaginarity monotones induced by the unified $(α,β)$-relative entropy and investigate their properties. Moreover, we give explicit examples to illustrate our results.
title Two imaginarity monotones induced by unified $(α,β)$-relative entropy
topic Quantum Physics
url https://arxiv.org/abs/2506.09799