Efficient fidelity estimation:alternative derivation and related applications

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外文摘要：In[Phys.Rev.A 107 012427(2023)],Baldwin and Jones prove that Uhlmann-Jozsa's fidelity between two quantum states ρ and σ,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 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.

外文关键词：

Ulhmann-Jozsa fidelityRényi entropyefficient fidelity estimationChebyshev polynomials

作者：

Diego S Starke、Marcos L W Basso、Jonas Maziero

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作者单位：

Physics Department,Center for Natural and Exact Sciences,Federal University of Santa Maria,Roraima Avenue 1000,Santa Maria,RS,97105-900,Brazil

Center for Natural and Human Sciences,Federal University of ABC,Avenue of the States,Santo André,São Paulo,09210-580,Brazil

出版年：

2024

DOI：

10.1088/1572-9494/ad5664