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APS » Journals » Phys. Rev. Lett. » Volume 84 » Issue 23
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Phys. Rev. Lett. 84, 5304–5307 (2000)

Continuous Frequency Entanglement: Effective Finite Hilbert Space and Entropy Control

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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

Received 26 August 1999; published in the issue dated 5 June 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.5304
DOI:
10.1103/PhysRevLett.84.5304
PACS:
42.50.Ar, 03.67.-a
 
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