Quantifying the imaginarity of quantum states via Tsallis relative entropy

Abstract

It is a fundamental question that why quantum mechanics uses complex numbers instead of only real numbers. To address this topic, recently, a rigorous resource theory for the imaginarity of quantum states were established, and several imaginarity measures were proposed. In this work, we propose a new imaginarity measure based on the Tsallis relative entropy. This imaginarity measure has explicit expression, and also, it is computable for bosonic Gaussian states.

arXiv comment9 pages, 1 figure. Any comments are welcome!

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Cited by in corpus (8)

• Quantifying imaginarity in terms of pure-state imaginarity
• Two imaginarity monotones induced by unified $(\alpha ,\beta )$-relative entropy
• Imaginarity measures induced by relative entropy
• Coherence and Imaginarity as Resources in Quantum Circuit Complexity
• Imaginarity measures induced by real part states and the complementarity relations
• Off-resonant preservation and generation of imaginarity in distributed scenarios
• Experimental certification of the nonlocal advantages of quantum imaginarity
• Measure of set imaginarity