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.

22 pages

References in corpus (7)

• Frozen Quantum Coherence
• Resource theory of imaginarity: Quantification and state conversion
• ZX-calculus for the working quantum computer scientist
• Nonlocal Advantages of Quantum Imaginarity
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Geometric-Like imaginarity: quantification and state conversion
• Solving the Schrodinger equation with genetic algorithms: a practical approach