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Characterizing entanglement in pulsed parametric downconversion using chronocyclic Wigner functions

Quantum Physics 2013-06-21 v1

Abstract

Pulsed parametric downconversion (PDC) processes generate photon pairs with a rich spectral-temporal structure, which offer an attractive potential for quantum information and communication applications. In this paper, we investigate the four-dimensional chronocyclic Wigner function of the PDC state, which naturally lends itself to the pulsed characteristics of these states. From this function we derive the conditioned time-bandwidth product of one of the pair photons, a quantity which is not only a valid measure of entanglement between the PDC photons but also allows to highlight a remarkable link between the discrete and continuous variable descriptions of PDC. We numerically analyze PDC processes with different conditions to demonstrate the versatility of our approach, which is applicable to a large number of current PDC sources.

Keywords

Cite

@article{arxiv.1302.6893,
  title  = {Characterizing entanglement in pulsed parametric downconversion using chronocyclic Wigner functions},
  author = {Benjamin Brecht and Christine Silberhorn},
  journal= {arXiv preprint arXiv:1302.6893},
  year   = {2013}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-21T23:33:47.298Z