Archivio Istituzionale della RicercaWe propose a modified metric based on the Hilbert-Schmidt norm and adopt it to define a rescaled version of the geometric measure of quantum discord. Such a measure is found not to suffer from pathological dependence on state purity. Although the employed metric is still non-contractive under quantum operations, we show that the resulting indicator of quantum correlations is in agreement with other bona fide discord measures in a number of physical examples. We present a critical assessment of the requirements of reliability versus computability when approaching the task of quantifying, or measuring, general quantum correlations in a bipartite state. © 2013 IOP Publishing Ltd.
The geometric approach to quantum correlations: Computability versus reliability / Tufarelli, T.; Maclean, T.; Girolami, D.; Vasile, R.; Adesso, G.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 46:27(2013), p. 275308. [10.1088/1751-8113/46/27/275308]
The geometric approach to quantum correlations: Computability versus reliability
Girolami D.;
2013
Abstract
We propose a modified metric based on the Hilbert-Schmidt norm and adopt it to define a rescaled version of the geometric measure of quantum discord. Such a measure is found not to suffer from pathological dependence on state purity. Although the employed metric is still non-contractive under quantum operations, we show that the resulting indicator of quantum correlations is in agreement with other bona fide discord measures in a number of physical examples. We present a critical assessment of the requirements of reliability versus computability when approaching the task of quantifying, or measuring, general quantum correlations in a bipartite state. © 2013 IOP Publishing Ltd.
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https://hdl.handle.net/11583/2849561