title: Remote preparation of complex spatial states of single photons and verification by two-photon coincidence experiment.
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.
authors.affiliation: Department of Physics, College of Natural Science, Inha University, Incheon, Republic of Korea.
authors.forename: Yoonshik
authors.initials: Y
authors.lastname: Kang
authors.forename: Kiyoung
authors.initials: K
authors.lastname: Cho
authors.forename: Jaewoo
authors.initials: J
authors.lastname: Noh
authors.forename: Dashiell L P
authors.initials: DL
authors.lastname: Vitullo
authors.forename: Cody
authors.initials: C
authors.lastname: Leary
authors.forename: M G
authors.initials: MG
authors.lastname: Raymer
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D010783:Photometry / Q000379:methods*; D011789:Quantum Theory