## Remote preparation of complex spatial states of single photons and verification by two-photon coincidence experiment

Optics Express, Vol. 18, Issue 2, pp. 1217-1233 (2010)

http://dx.doi.org/10.1364/OE.18.001217

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### Abstract

We propose and provide experimental evidence in support of a theory for the remote preparation of a complex spatial state of a single photon. An entangled two-photon source was obtained by spontaneous parametric down-conversion, and a double slit was placed in the path of the signal photon as a scattering object. The signal photon was detected after proper spatial filtering so that the idler photon was prepared in the corresponding single-photon state. By using a two-photon coincidence measurement, we obtained the Radon transform, at several longitudinal distances, of the single-photon Wigner distribution function modified by the double slit. The experimental results are consistent with the idler photon being in a pure state. An inverse Radon transformation can, in principle, be applied to the measured data to reconstruct the modified single-photon Wigner function, which is a complete representation of the amplitude and phase structure of the scattering object.

© 2010 OSA

**OCIS Codes**

(270.0270) Quantum optics : Quantum optics

(270.5585) Quantum optics : Quantum information and processing

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: September 14, 2009

Revised Manuscript: November 29, 2009

Manuscript Accepted: December 22, 2009

Published: January 11, 2010

**Citation**

Yoonshik Kang, Kiyoung Cho, Jaewoo Noh, Dashiell L. P. Vitullo, Cody Leary, and M. G. Raymer, "Remote preparation of complex spatial states of single photons and verification by two-photon coincidence experiment," Opt. Express **18**, 1217-1233 (2010)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-2-1217

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