Natural Metric for Quantum Information Theory

Natural Metric for Quantum Information Theory

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

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Bibliographic Details
Main Authors: Lamberti, P. W, Portesi, M, Sparacino, J
Format: Journal Article
Language:English
Published: 06-04-2009
Subjects:
Physics - Quantum Physics
Online Access:Get full text
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Summary:International Journal of Quantum Information 7 (2009) 1009-1019 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.
DOI:10.48550/arxiv.0807.0583