Published July 2008 | Version Published + Submitted
Journal Article Open

Geometrically induced singular behavior of entanglement

  • 1. ROR icon Institute of Photonic Sciences
  • 2. ROR icon Universidade Federal de Minas Gerais
  • 3. ROR icon Imperial College London

Abstract

We show that the geometry of the set of quantum states plays a crucial role in the behavior of entanglement in different physical systems. More specifically, it is shown that singular points at the border of the set of unentangled states originate singularities in the dynamics of entanglement of smoothly varying quantum states. We illustrate this result by implementing a photonic parametric down-conversion experiment. Moreover, this effect is connected to recently discovered singularities in condensed matter models.

Additional Information

© 2008 American Physical Society. Received 31 August 2007; published 10 July 2008. We acknowledge discussions with A. Acín, A. Sen(De), J. Wehr, E. Rico, G. Palacios, V. Vedral, and J. Dunningham and funding from CNPq, Fapemig, PRPq-UFMG, and the Brazilian Millenium Institute for Quantum Information.

Attached Files

Published - PhysRevA.78.012318.pdf

Submitted - 0709.0301v2.pdf

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0709.0301v2.pdf

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Additional details

Identifiers

Eprint ID
67302
Resolver ID
CaltechAUTHORS:20160524-104623826

Related works

Funding

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Fundaçã de Amparo a Pesquisa de Minas Gerais (FAPEMIG)
PRPq-UFMG
Brazilian Millenium Institute for Quantum Information

Dates

Created
2016-05-24
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Updated
2021-11-11
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