## Complete and deterministic analysis for spatial-polarization hyperentangled Greenberger–Horne–Zeilinger states with quantum-dot cavity systems |

JOSA B, Vol. 30, Issue 8, pp. 2263-2270 (2013)

http://dx.doi.org/10.1364/JOSAB.30.002263

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### Abstract

Entangled state analysis is one of the basic techniques in quantum information
processing. However, it is impossible to fully distinguish the three-photon
Greenberger–Horne–Zeilinger (GHZ) states with only linear optical elements.
Here, we propose a deterministic scheme to complete three-photon
spatial-polarization hyperentangled GHZ-state analysis (HGSA) by using the giant
optical Faraday rotation induced by an excess electron spin in a quantum dot
inside a one-sided optical microcavity as a result of cavity quantum
electrodynamics. It is divided into two steps. The first step is used to
distinguish the eight three-photon GHZ states in the spatial-mode degree of
freedom (DOF) without destroying the polarization states. The second step is
used to distinguish the eight GHZ states in the polarization DOF. This scheme
can be generalized to

© 2013 Optical Society of America

**OCIS Codes**

(270.0270) Quantum optics : Quantum optics

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: May 15, 2013

Manuscript Accepted: June 11, 2013

Published: July 24, 2013

**Citation**

Qian Liu and Mei Zhang, "Complete and deterministic analysis for spatial-polarization hyperentangled Greenberger–Horne–Zeilinger states with quantum-dot cavity systems," J. Opt. Soc. Am. B **30**, 2263-2270 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-8-2263

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