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

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.

arXiv comment22 pages

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Cited by in corpus (4)

• Quantifying imaginarity of quantum operations
• Quantifying magic via quantum $(\alpha ,\beta )$ Jensen-Shannon divergence
• Off-resonant preservation and generation of imaginarity in distributed scenarios
• Experimental certification of the nonlocal advantages of quantum imaginarity