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Quantum Simulation Entanglement Theory Quantum Correlations

On the origin of non-decomposable maps

arXiv
Authors: W. A. Majewski

Year

2017

Paper ID

45009

Status

Preprint

Abstract Read

~2 min

Abstract Words

62

Citations

N/A

Abstract

The Radon-Nikodym formalism is used to study the structure of the set of positive maps from mathcal{B}\(mathcal{H}\) into itself, where mathcal{H} is a finite dimensional Hilbert space. In particular, this formalism was employed to formulate simple criteria which ensure that certain maps are non decomposable. In that way, a recipe for construction of non decomposable maps was obtained.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The Radon-Nikodym formalism is used to study the structure of the set of positive maps from mathcalB(mathcalH) into itself, where mathcalH is a finite dimensional Hilbert space.

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