Work

Generalized Trace Inequalities for Q Uncertainty Relations

Year: 2024

Type: article

Abstract: Iin 2015 we obtained non-hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations for generalized metric adjusted skew information or generalized metric adjusted correlation measure and gave the results of Dou-Du in 2013 and 2014 as corollaries. In this paper, we define generalized quasi-metric adjusted Q skew information for different two generalized states and obtain corresponding uncertainty relation. The result is applied to the inequalities related to fidelity and trace distance for different two generalized states which were given by Audenaert, et al. in 2009 and 2008; and Powers-Strmer in 1970. 2010 Mathematics Subject Classification: 15A45, 47A63, 94A17.

Source: International Journal of Physics Research and Applications

DOI: 10.29328/journal.ijpra.1001096

Author: Kenjiro Yanagi

Institution: Yamaguchi University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Research on construction of new inequalities representing uncertainty relations and their applications