### Abstract

Entanglement of the properties of two separated particles constitutes a fundamental signature of quantum mechanics and is a key resource for quantum information science. We demonstrate strong Einstein, Podolsky, and Rosen correlations between the angular position and orbital angular momentum of two photons created by the nonlinear optical process of spontaneous parametric down-conversion. The discrete nature of orbital angular momentum and the continuous but periodic nature of angular position give rise to a special sort of entanglement between these two variables. The resulting correlations are found to be an order of magnitude stronger than those allowed by the uncertainty principle for independent (nonentangled) particles. Our results suggest that angular position and orbital angular momentum may find important applications in quantum information science.

Original language | English |
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Pages (from-to) | 662-665 |

Number of pages | 4 |

Journal | Science |

Volume | 329 |

Issue number | 5992 |

DOIs | |

Publication status | Published - 6 Aug 2010 |

### Cite this

*Science*,

*329*(5992), 662-665. https://doi.org/10.1126/science.1190523

}

*Science*, vol. 329, no. 5992, pp. 662-665. https://doi.org/10.1126/science.1190523

**Quantum Correlations in Optical Angle-Orbital Angular Momentum Variables.** / Leach, Jonathan; Jack, Barry; Romero, Jacqui; Jha, Anand K.; Yao, Alison M.; Franke-Arnold, Sonja; Ireland, David G.; Boyd, Robert W.; Barnett, Stephen M.; Padgett, Miles J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Quantum Correlations in Optical Angle-Orbital Angular Momentum Variables

AU - Leach, Jonathan

AU - Jack, Barry

AU - Romero, Jacqui

AU - Jha, Anand K.

AU - Yao, Alison M.

AU - Franke-Arnold, Sonja

AU - Ireland, David G.

AU - Boyd, Robert W.

AU - Barnett, Stephen M.

AU - Padgett, Miles J.

PY - 2010/8/6

Y1 - 2010/8/6

N2 - Entanglement of the properties of two separated particles constitutes a fundamental signature of quantum mechanics and is a key resource for quantum information science. We demonstrate strong Einstein, Podolsky, and Rosen correlations between the angular position and orbital angular momentum of two photons created by the nonlinear optical process of spontaneous parametric down-conversion. The discrete nature of orbital angular momentum and the continuous but periodic nature of angular position give rise to a special sort of entanglement between these two variables. The resulting correlations are found to be an order of magnitude stronger than those allowed by the uncertainty principle for independent (nonentangled) particles. Our results suggest that angular position and orbital angular momentum may find important applications in quantum information science.

AB - Entanglement of the properties of two separated particles constitutes a fundamental signature of quantum mechanics and is a key resource for quantum information science. We demonstrate strong Einstein, Podolsky, and Rosen correlations between the angular position and orbital angular momentum of two photons created by the nonlinear optical process of spontaneous parametric down-conversion. The discrete nature of orbital angular momentum and the continuous but periodic nature of angular position give rise to a special sort of entanglement between these two variables. The resulting correlations are found to be an order of magnitude stronger than those allowed by the uncertainty principle for independent (nonentangled) particles. Our results suggest that angular position and orbital angular momentum may find important applications in quantum information science.

U2 - 10.1126/science.1190523

DO - 10.1126/science.1190523

M3 - Article

C2 - 20689014

VL - 329

SP - 662

EP - 665

JO - Science

JF - Science

SN - 0036-8075

IS - 5992

ER -