Schrödinger uncertainty relation, Wigner–Yanase–Dyson skew information and metric adjusted correlation measure
نویسندگان
چکیده
منابع مشابه
Uncertainty Relations for Generalized Metric Adjusted Skew Information and Generalized Metric Adjusted Correlation Measure
Correspondence: [email protected] Graduate School of Science and Engineering, Yamaguchi University, 755-8611 Une, Japan Full list of author information is available at the end of the article Abstract In this paper, we give a Heisenberg type or a Schrödinger-type uncertainty relation for generalized metric adjusted skew information or generalized metric adjusted correlation measure. These...
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Inspired by the recent results in [4] and the concept of metric adjusted skew information introduced by Hansen in [6], we here give a further generalization for Schrödinger-type uncertainty relation applying metric adjusted correlation measure introduced in [6]. We firstly give some notations according to those in [4]. Let Mn(C) and Mn,sa(C) be the set of all n × n complex matrices and all n × ...
متن کاملSchrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
In this paper, we give Schrödinger-type uncertainty relation using the WignerYanase-Dyson skew information. In addition, we give Schrödinger-type uncertainty relation by use of a two-parameter extended correlation measure. We finally show the further generalization of Schrödinger-type uncertainty relation by use of the metric adjusted correlation measure. These results generalize our previous r...
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We extend the concept of Wigner-Yanase-Dyson skew information to something we call "metric adjusted skew information" (of a state with respect to a conserved observable). This "skew information" is intended to be a non-negative quantity bounded by the variance (of an observable in a state) that vanishes for observables commuting with the state. We show that the skew information is a convex func...
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A generalized skew correlation and a generalized skew information are defined and then a kind of the generalization of uncertainty relation is established by the help of the trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality which is an extension of the conjecture addressed in [1]. This manuscript is based on our recent paper [2]. Mathematics Sub...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.10.061