Bures Distance and Transition Probability for $$\alpha $$ α -CPD-Kernels
نویسندگان
چکیده
منابع مشابه
On Bures Distance and ∗-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W∗-Algebras
On a W∗-algebra M , for given two positive linear forms ν, % ∈ M∗ + and algebra elements a, b ∈ M , a variational expression for the Bures distance dB(ν, %b) between the inner derived positive linear forms νa = ν(a∗ · a) and %b = %(b∗ · b) is obtained. Along with the proof of the formula, also an earlier result of S. Gudder on noncommutative probability will be slighly extended. Also, the given...
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We define a new measure of quantum correlations in bipartite quantum systems given by the Bures distance of the system state to the set of classical states with respect to one subsystem, that is, to the states with zero quantum discord. Our measure is a geometrical version of the quantum discord. As the latter it quantifies the degree of non-classicality in the system. For pure states it is ide...
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In case of standard form vN-algebras, the Bures distance is the natural distance between the fibres of implementing vectors at normal positive linear forms. Thereby, it is well-known that to each two normal positive linear forms implementing vectors exist such that the Bures distance is attained by the metric distance of the implementing vectors in question. We discuss to which extent this can ...
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ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2018
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-018-0798-1