Photon entanglement in the phase-space Q representation of quantum optics
Departamento de Física, Universidad de Cantabria, Santander, Spain
Corresponding author: a email@example.com
Revised: 7 November 2002
Published online: 4 February 2003
Several examples of photon entanglement are studied in the Q representation of quantum optics. In particular, the entangled states produced in parametric downconversion are studied in detail, and we determine the conditions for the violation of Bell's inequality. Our approach shows that photon entanglement is related to the existence of correlations between the quantum fluctuations of the electromagnetic field associated to different modes.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 42.50.Dv – Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003