Quantum α-z fidelity and α-z-weighted right mean-Reference-Cited by-同舟云学术

Quantum α-z fidelity and α-z-weighted right mean

Published:2024-03-13 Issue:04 Volume:22 Page:
ISSN:0219-7499
Container-title:International Journal of Quantum Information
language:en
Short-container-title:Int. J. Quantum Inform.

Author:

Dinh Trung Hoa¹^ORCID,Le Cong Trinh²,Vuong Trung Dung³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, Troy University, Troy, AL 36082, USA

2. Department of Mathematics and Statistics, Quy Nhon University, Vietnam

3. VNU-HCM High School for the Gifted, 153 Nguyen Chi Thanh, District 5, Ho Chi Minh City, Vietnam

Abstract

In this paper, we establish some variational principles for the quantum [Formula: see text]-[Formula: see text]-fidelity. Then, we use quantum [Formula: see text]-[Formula: see text]-fidelity to measure the distance between two quantum orbits. We also study several properties of the [Formula: see text]-[Formula: see text]-weighted right mean which is the unique solution of the least squares problem with respect to the [Formula: see text]-[Formula: see text]-Bures Wasserstein distance. We show that the [Formula: see text]-[Formula: see text]-weighted right mean is a multivariate Lie–Trotter mean.

Funder

the Master, Ph.D. Scholarship Programme of Vingroup Innovation Foundation (VINIF), Institute of Big Data

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219749924500047

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