Partial Bell-state analysis with parametric down conversion in the Wigner function formalism

Abstract

We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wavelike description with zeropoint fluctuations of the electromagnetic field. In particular, the fermionic behaviour of two photons in the singlet state is explained from the invariance on the correlation properties of two light beams going through a balanced beam-splitter. Moreover, we show that a Bell-state measurement introduces some fundamental noise at the idle channels of the analyzers. As a consequence, the consideration of more independent sets of vacuum modes entering the crystal appears as a need for a complete Bell-state analysis.

References in corpus (5)

• Quantum Cryptography
• Experimental quantum teleportation
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
• Realization and characterization of a 2-photon 4-qubit linear cluster state
• Type-II parametric down conversion in the Wigner-function formalism. Entanglement and Bell's inequalities

Cited by in corpus (3)

• Local realistic interpretation of entangled photon pairs in the Weyl-Wigner formalism
• Wigner's inequalities in quantum field theory
• Rome teleportation experiment analysed in the Wigner representation: the role of the zeropoint fluctuations in complete one-photon polarization-momentum Bell-state analysis