NATURAL METRIC FOR QUANTUM INFORMATION THEORY-Reference-Cited by-同舟云学术

NATURAL METRIC FOR QUANTUM INFORMATION THEORY

Published:2009-08 Issue:05 Volume:07 Page:1009-1019
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

LAMBERTI P. W.¹,PORTESI M.²,SPARACINO J.¹

Affiliation:

1. Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba and CONICET, Ciudad Universitaria, 5000 Córdoba, Argentina

2. Instituto de Física La Plata (CONICET) and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, CC 67, 1900 La Plata, Argentina

Abstract

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 to other distances is investigated. As an illustrative application, the proposed metric is evaluated for one-qubit mixed states.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749909005584

Reference23 articles.

1. The role of relative entropy in quantum information theory

2. Statistical inference, distinguishability of quantum states, and quantum entanglement

3. Geometry of Quantum States

4. Statistical distance and Hilbert space

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