Measures of imaginarity and quantum state order

• URL: http://arxiv.org/abs/2210.14443v1
• Date: Wed, 26 Oct 2022 03:29:43 GMT
• Title: Measures of imaginarity and quantum state order
• Authors: Qiang Chen, Ting Gao, Fengli Yan
• Abstract summary: We study several measures of imaginarity of quantum states in the framework of resource theory. We also investigate the influence of the quantum channels on quantum state order for a single qubit.
• Score: 3.0355172744128422
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Complex numbers are widely used in both classical and quantum physics, and play an important role in describing quantum systems and their dynamical behavior. In this paper we study several measures of imaginarity of quantum states in the framework of resource theory, such as the measures based on $l_{1}$ norm, relative entropy, and convex function, etc. We also investigate the influence of the quantum channels on quantum state order for a single qubit.

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