NATURAL METRIC FOR QUANTUM INFORMATION THEORY
2009 ◽
Vol 07
(05)
◽
pp. 1009-1019
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Keyword(s):
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.
2019 ◽
Vol 227
(15-16)
◽
pp. 2085-2118
◽
2015 ◽
Vol 15
(13&14)
◽
pp. 1165-1184
2011 ◽
Vol 22
(09)
◽
pp. 897-918
◽
2007 ◽
Vol 05
(04)
◽
pp. 605-609
◽
2008 ◽
Vol 06
(supp01)
◽
pp. 715-720
◽