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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Quantum nonlocality and partial transposition for continuous-variable systems.

Alejo Salles¹, Daniel Cavalcanti, Antonio Acín

¹Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ 21941-972, Brazil. salles@if.ufrj.br

Physical Review Letters

|September 4, 2008

Summary

This summary is machine-generated.

Researchers proved that quantum states violating a continuous-variable Bell inequality must exhibit bound entanglement. This establishes a crucial link between nonlocality and bound entanglement in continuous-variable systems.

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Area of Science:

Quantum Information Science
Quantum Foundations
Quantum Optics

Background:

A recent continuous-variable Bell inequality was introduced for arbitrary observers and outcomes.
Understanding the properties of quantum states violating such inequalities is crucial.

Purpose of the Study:

To establish a link between nonlocality and bound entanglement in continuous-variable (CV) systems.
To determine the quantum properties of states that violate a CV Bell inequality.

Main Methods:

Theoretical analysis of n-mode quantum states.
Application of quadrature measurements.
Investigation of the partial transposition criterion.

Main Results:

Any n-mode quantum state violating the continuous-variable Bell inequality necessarily exhibits a negative partial transposition.
This demonstrates that violating the inequality implies the presence of bound entanglement.

Conclusions:

The study establishes the first definitive link between nonlocality and bound entanglement for continuous-variable systems.
Violation of the introduced Bell inequality is a direct indicator of bound entanglement in CV quantum states.