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Entropy 2013, 15(9), 3688-3697; doi:10.3390/e15093688

Dynamic Distance Measure on Spaces of Isospectral Mixed Quantum States

*  and
Department of Physics, Stockholm University, 10691 Stockholm, Sweden
* Author to whom correspondence should be addressed.
Received: 18 June 2013 / Revised: 20 August 2013 / Accepted: 2 September 2013 / Published: 6 September 2013
(This article belongs to the Special Issue Quantum Information 2012)
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Distance measures are used to quantify the extent to which information is preserved or altered by quantum processes, and thus are indispensable tools in quantum information and quantum computing. In this paper we propose a new distance measure for mixed quantum states, which we call the dynamic distance measure, and we show that it is a proper distance measure. The dynamic distance measure is defined in terms of a measurable quantity, which makes it suitable for applications. In a final section we compare the dynamic distance measure with the well-known Bures distance measure.
Keywords: distance measure; mixed state; quantum dynamics; quantum information distance measure; mixed state; quantum dynamics; quantum information
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Andersson, O.; Heydari, H. Dynamic Distance Measure on Spaces of Isospectral Mixed Quantum States. Entropy 2013, 15, 3688-3697.

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