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Title: Generalized Smolin states and their properties

Abstract

Four-qubit bound entangled Smolin states are generalized with help of the Hilbert-Schmidt formalism to any even number of qubits. They are shown to maximally violate simple correlation Bell inequalities and, as such, to reduce communication complexity, although they do not admit quantum security. They are also shown to serve for remote quantum information concentration, as in the case of the original four-qubit states. It is proven that the latter effect allows us to unlock some entanglement measures and classical correlations. Also the possibility of quantum secret sharing by the considered state is pointed out.

Authors:
;  [1]
  1. Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Gdansk (Poland)
Publication Date:
OSTI Identifier:
20786663
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.012318; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BELL THEOREM; CORRELATIONS; DATA TRANSMISSION; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUBITS; SECRECY PROTECTION

Citation Formats

Augusiak, Remigiusz, and Horodecki, Pawel. Generalized Smolin states and their properties. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Augusiak, Remigiusz, & Horodecki, Pawel. Generalized Smolin states and their properties. United States. doi:10.1103/PHYSREVA.73.0.
Augusiak, Remigiusz, and Horodecki, Pawel. Sun . "Generalized Smolin states and their properties". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786663,
title = {Generalized Smolin states and their properties},
author = {Augusiak, Remigiusz and Horodecki, Pawel},
abstractNote = {Four-qubit bound entangled Smolin states are generalized with help of the Hilbert-Schmidt formalism to any even number of qubits. They are shown to maximally violate simple correlation Bell inequalities and, as such, to reduce communication complexity, although they do not admit quantum security. They are also shown to serve for remote quantum information concentration, as in the case of the original four-qubit states. It is proven that the latter effect allows us to unlock some entanglement measures and classical correlations. Also the possibility of quantum secret sharing by the considered state is pointed out.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}