On generalized skew information and uncertainty relation
نویسندگان
چکیده
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 Subject Classification 2000: 15A42, 47A63 and 94A17
منابع مشابه
Uncertainty Relation on Generalized Wigner-Yanase-Dyson Skew Information
We give a trace inequality related to the uncertainty relation of generalized Wigner-Yanase-Dyson skew information which is two parameter’s extension of our result in [12].
متن کاملUncertainty 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...
متن کاملWigner-Yanase-Dyson Skew Information And Uncertainty Relation
We give a trace inequality related to the uncertainty relation of Wigner-YanaseDyson skew information. This inequality corresponds to a generalization of the uncertainty relation derived by S.Luo [8] for the quantum uncertainty quantity excluding the classical mixture. Finally we show a counter-example of the uncertainty relation related to WignerYanase-Dyson skew information given in [6] recen...
متن کاملJ ul 2 00 9 Uncertainty Relation on Wigner - Yanase - Dyson Skew Information
We give a trace inequality related to the uncertainty relation of Wigner-Yanase-Dyson skew information. This inequality corresponds to a generalization of the uncertainty relation derived by S.Luo [6] for the quantum uncertainty quantity excluding the classical mixture.
متن کاملNon-hermitian extensions of Schrödinger type uncertainty relations
In quantum mechanics it is well known that observables are represented by hermitian matrices (or operators). Uncertainty relations are represented as some kinds of trace inequalities satisfied by two observables and one density matrix (or operator). Now we try to release the hermitian restriction on observables. This is only a mathematical interest. In this case we give several non-hermitian ex...
متن کامل