Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control

C. K. Law, I. A. Walmsley, and J. H. Eberly
Phys. Rev. Lett. 84, 5304 – Published 5 June 2000
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Abstract

We examine the quantum structure of continuum entanglement and in the context of short-pulse down-conversion we answer the open question of how many of the uncountably many frequency modes contribute effectively to the entanglement. We derive a set of two-photon mode functions that provide an exact, discrete, and effectively finite basis for characterizing pairwise entanglement. Our analysis provides a basis for entropy control in two-photon pulses generated from down-conversion.

  • Received 26 August 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.5304

©2000 American Physical Society

Authors & Affiliations

C. K. Law1,2, I. A. Walmsley1,3, and J. H. Eberly1,2

  • 1Center for Quantum Information, University of Rochester, Rochester, New York 14627
  • 2Rochester Theory Center for Optical Science and Engineering and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
  • 3Institute of Optics, University of Rochester, Rochester, New York 14627

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Vol. 84, Iss. 23 — 5 June 2000

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