Alternative fidelity measure between quantum states

Carregando...
Imagem de Miniatura

Data

2008-11-01

Autores

Mendonca, Paulo E. M. F.
Napolitano, Reginaldo D. J.
Marchiolli, Marcelo A. [UNESP]
Foster, Christopher J.
Liang, Yeong-Cherng

Título da Revista

ISSN da Revista

Título de Volume

Editor

Amer Physical Soc

Resumo

We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established.

Descrição

Palavras-chave

Como citar

Physical Review A. College Pk: Amer Physical Soc, v. 78, n. 5, p. 11, 2008.