Tomographic test of Bell's inequality for a time-delocalized single photon

Details Tomographic test of Bell's inequality for a time-delocalized single photon Tomographic test of Bell's inequality for a time-delocalized single photon

2006-02-17

arxiv.org/abs/quant-ph/0602150v2

PHYSICAL REVIEW A 74, 052114 (2006)

Physics

Quantum Physics

7 pages, 3 figures: revised version with additional material; accepetd for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.74.052114

Time-domain balanced homodyne detection is performed on two well-separated temporal modes sharing a single photon. The reconstructed density matrix of the two-mode system is used to prove and quantify its entangled nature, while the Wigner function is employed for an innovative tomographic test of Bell's inequality based on the theoretical proposal by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Provided some auxiliary assumptions are made, a clear violation of Banaszek-Bell's inequality is found.

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