Efficient fidelity estimation:alternative derivation and related applications

作     者：Diego S Starke Marcos L W Basso Jonas Maziero 

作者机构：Physics DepartmentCenter for Natural and Exact SciencesFederal University of Santa MariaRoraima Avenue 1000Santa MariaRS97105-900Brazil Center for Natural and Human SciencesFederal University of ABCAvenue of the StatesSanto AndréSão Paulo09210-580Brazil 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2024年第76卷第9期

页      面：16-20页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Fundação de Amparo à Pesquisa do Estado de São Paulo, FAPESP National Institute for the Science and Technology of Quantum Information National Council for Scientific and Technological Development FAPESP, (2022/09496-8) CNPq, (309862/2021-3, 421792/2022-1, 409673/2022-6) Coordination for the Improvement of Higher Education Personnel, (88887.827989/2023-00) INCT-IQ, (465469/2014-0) 

主　　题：Ulhmann–Jozsa fidelity Rényi entropy efficient fidelity estimation Chebyshev polynomials 

摘      要：In[***.A 107012427(2023)],Baldwin and Jones prove that Uhlmann–Jozsa’s fidelity between two quantum statesρandσ,i.e.,F(ρ,σ)=(Tr√√ρσ√ρ)^(2),can be written in a simplified form as F(ρ,σ)=(Tr√ρσ)^(2).In this article,we give an alternative proof of this result,using a function power series expansion and the properties of the trace *** 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.