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arXiv · 2506.09799

Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy

Chuanfa Wu·Zhaoqi Wu
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Abstract

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 $(\alpha,\beta)$-relative entropy and investigate their properties. Moreover, we give explicit examples to illustrate our results.

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Chuanfa Wu, Zhaoqi Wu. 2025-06-11. Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy. https://doi.org/10.1088/1572-9494%2Fadbdbd

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