Non-commutative measure of quantum correlations under local operations
Por:
Bussandri D.G., Majtey A.P., Valdés-Hernández A.
Publicada:
1 feb 2019
Resumen:
We study some desirable properties of recently introduced measures of
quantum correlations based on the amount of non-commutativity quantified
by the Hilbert-Schmidt norm (Guo in Sci Rep 6:25241, 2016; Majtey et al.
in Quantum Inf Process 16:226, 2017). Specifically, we show that: (1)
for any bipartite (A+B) state, the measures of quantum correlations with
respect to subsystem A are non-increasing under any local commutative
preserving operation on subsystem A, and (2) for Bell-diagonal states,
the measures are non-increasing under arbitrary local operations on B.
Our results accentuate the potentialities of such measures and exhibit
them as valid monotones in a resource theory of quantum correlations
with free operations restricted to the appropriate local channels.
Filiaciones:
Univ Nacl Cordoba, Fac Matemat Astron Fis & Computac, Av Medina Allende S-N,Ciudad Univ,X5000HUA, Cordoba, Argentina
Consejo Nacl Invest Cient & Tecn Republ Argentina, Av Rivadavia 1917,C1033AAJ, Buenos Aires, DF, Argentina
Consejo Nacl Invest Cient & Tecn Republ Argentina, Inst Fis Enr Gaviola, Av Medina Allende S-N,X5000HUA, Cordoba, Argentina
Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Mexico City, DF, Mexico
Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, Av. Medina Allende s/n, Ciudad Universitaria, Córdoba, X5000HUA, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina, Av. Rivadavia 1917, CABA, C1033AAJ, Argentina
Instituto de Física Enrique Gaviola, Consejo Nacional de Investigaciones Científicas y Técnicas de la República Argentina, Av. Medina Allende s/n, Córdoba, X5000HUA, Argentina
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de Mexico, Mexico
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