Natural Metric for Quantum Information Theory

Details Natural Metric for Quantum Information Theory Natural Metric for Quantum Information Theory

2008-07-03

arxiv.org/abs/0807.0583v2

International Journal of Quantum Information 7 (2009) 1009-1019

Physics

Quantum Physics

v2: enlarged; presented at ISIT 2008 (Toronto)

Scientific paper

10.1142/S0219749909005584

We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are analyzed and its relation with other distances is investigated. As an illustrative application, the proposed metric is evaluated for 1-qubit mixed states.

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