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Efficient fidelity estimation: alternative derivation and related applications

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Author(s):
Starke, Diego S. ; Basso, Marcos L. W. ; Maziero, Jonas
Total Authors: 3
Document type: Journal article
Source: COMMUNICATIONS IN THEORETICAL PHYSICS; v. 76, n. 9, p. 5-pg., 2024-09-01.
Abstract

In [Phys. Rev. A 107 012427 (2023)], Baldwin and Jones prove that Uhlmann-Jozsa's fidelity between two quantum states rho and sigma, i.e., F(rho,sigma)& colone;Tr rho sigma rho 2 , can be written in a simplified form as F(rho,sigma)=Tr rho sigma 2 . In this article, we give an alternative proof of this result, using a function power series expansion and the properties of the trace function. Our approach not only reinforces the validity of the simplified expression but also facilitates the exploration of novel dissimilarity functions for quantum states and more complex trace functions of density operators. (AU)

FAPESP's process: 22/09496-8 - Exploring the extreme effects ofrotation and electromagnetic fields in general relativity: new exact solutions and numerical approximations
Grantee:Marcos Leopoldo Wayhs Basso
Support Opportunities: Scholarships in Brazil - Doctorate