Artículo
Parameterizing density operators with arbitrary symmetries to gain advantage in quantum state estimation
Corte, Inés Raquel
; Losada, Marcelo Adrián
; Tielas, Diego Alejandro
; Holik, Federico Hernán
; Rebón, Lorena
Fecha de publicación:
12/2022
Editorial:
Elsevier Science
Revista:
Physica A: Statistical Mechanics and its Applications
ISSN:
0378-4371
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this work, we show how to parameterize a density matrix that has an arbitrary symmetry, knowing the generators of the Lie algebra (if the symmetry group is a connected Lie group) or the generators of its underlying group (in case it is finite). This allows to pose MaxEnt and MaxLik estimation techniques as convex optimization problems with a substantial reduction in the number of parameters of the function involved. This implies that, apart from a computational advantage due to the fact that the optimization is performed in a reduced space, the amount of experimental data needed for a good estimation of the density matrix can be reduced as well. In addition, we run numerical experiments and apply these parameterizations to estimate quantum states with different symmetries.
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Corte, Inés Raquel; Losada, Marcelo Adrián; Tielas, Diego Alejandro; Holik, Federico Hernán; Rebón, Lorena; Parameterizing density operators with arbitrary symmetries to gain advantage in quantum state estimation; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 611; 12-2022; 1-12
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