Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement

Vértesi, Tamas; Brunner, Nicolas

doi:10.1038/ncomms6297

Scientific article

English

Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement

Contributors

Vértesi, Tamas; Brunner, Nicolas

Published in

Nature communications, vol. 5, no. 5297

Publication date

2014

Abstract

Quantum entanglement plays a central role in many areas of physics, from quantum information science to many-body systems. In order to grasp the essence of this phenomenon, it is fundamental to understand how different manifestations of entanglement relate to each other. In 1999, Peres conjectured that Bell nonlocality is equivalent to distillability of entanglement. The intuition of Peres was that the non-classicality of an entangled state, as witnessed via Bell inequality violation, implies that pure entanglement can be distilled from this state, hence making it useful for most quantum information protocols. Subsequently, the Peres conjecture was shown to hold true in several specific cases, and became a central open question in quantum information theory. Here we disprove the Peres conjecture by showing that an undistillable bipartite entangled state---a bound entangled state---can nevertheless violate a Bell inequality. This shows that Bell nonlocality implies neither entanglement distillability, nor non-positivity under partial transposition, thus clarifying the relation between three fundamental aspects of entanglement. Finally, our results lead to a novel application of bound entanglement for device-independent randomness certification.

Note

6 pages, 2 figure, 1 table

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

UNIGE research groups

Groupe Brunner

Citation (ISO format)

VÉRTESI, Tamas, BRUNNER, Nicolas. Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement. In: Nature communications, 2014, vol. 5, n° 5297. doi: 10.1038/ncomms6297

Article (Accepted version)

Identifiers

PID : unige:84459
DOI : 10.1038/ncomms6297
arXiv : 1405.4502

Journal ISSN

2041-1723

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10/06/2016 13:03:00

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10/06/2016 13:03:00

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28/11/2024 07:20:36

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Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement

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Published in

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Abstract

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UNIGE affiliation entities

UNIGE research groups

Citation (ISO format)

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Technical informations

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First validation

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Status update

Last indexation