Efficient fidelity estimation: alternative derivation and related applications

Autor(es)

Starke, Diego S. ; Basso, Marcos L. W. ; Maziero, Jonas

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN THEORETICAL PHYSICS; v. 76, n. 9, p. 5-pg., 2024-09-01.

Resumo

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)

• Processo FAPESP: 22/09496-8 - Explorando os efeitos extremos da rotação e do campo eletromagnético na relatividade geral: novas soluções exatas e aproximações numéricas
• Beneficiário: Marcos Leopoldo Wayhs Basso
• Modalidade de apoio: Bolsas no Brasil - Doutorado