Quantifying the imaginarity of quantum states via Tsallis relative
entropy
- URL: http://arxiv.org/abs/2311.12547v1
- Date: Tue, 21 Nov 2023 11:55:20 GMT
- Title: Quantifying the imaginarity of quantum states via Tsallis relative
entropy
- Authors: Jianwei Xu
- Abstract summary: 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.
- Score: 0.32634122554914
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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