Classical extension of quantum-correlated separable states

Author:

Bellomo G.1,Plastino A.1,Plastino A. R.2

Affiliation:

1. Instituto de Física La Plata (IFLP-CONICET) and Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 115 and 49, C.C. 67, 1900 La Plata, Argentina

2. CeBio and Secretaría de Investigaciones, Universidad Nacional del Noroeste de la Prov. de Buenos Aires (UNNOBA-CONICET), R. Saenz Peña 456, Junín, Argentina

Abstract

Li and Luo [Phys. Rev. A 78 (2008) 024303] discovered a remarkable relation between discord and entanglement. It establishes that all separable states can be obtained via reduction of a classically-correlated state "living" in a space of larger dimension. Starting from this result, we discuss here an optimal classical extension of separable states and explore this notion for low-dimensional systems. We find that the larger the dimension of the classical extension, the larger the discord in the original separable state. Further, we analyze separable states of maximum discord in ℂ2 ⊗ ℂ2 and their associated classical extensions showing that, from the reduction of a classical state in (ℂ2 ⊗ ℂ3) ⊗ ℂ2, one can obtain a separable state of maximum discord in ℂ2 ⊗ ℂ2.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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3. From Discord to Entanglement;Quantum Science and Technology;2017

4. Entanglement as minimal discord over state extensions;Physical Review A;2016-09-29

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