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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 34, Iss. 3 — Feb. 1, 2009
  • pp: 268–270

Nonexistence of entanglement sudden death in dephasing of high NOON states

Asma Al-Qasimi and Daniel F.V. James  »View Author Affiliations

Optics Letters, Vol. 34, Issue 3, pp. 268-270 (2009)

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We study the dynamics of entanglement in continuous variable quantum systems. Specifically, we study the phenomena of entanglement sudden death (ESD) in general two-mode-N-photon states undergoing pure dephasing. We show that for these circumstances, ESD never occurs. These states are generalizations of the so-called high NOON states (i.e., a superposition of N photons in the first mode, O in the second, with O photons in the first, N in the second), shown to decrease the Rayleigh limit of λ to λ N , which promises great improvement in resolution of interference patterns if states with large N are physically realized [ Phys. Rev. Lett. 85, 2733 (2000) ]. However, we show that in dephasing NOON states, the time to reach some critical visibility V crit , scales inversely with N 2 . On the practical level, this shows that as N increases, the visibility degrades much faster, which is likely to be a considerable drawback for any practical application of these states.

© 2009 Optical Society of America

OCIS Codes
(270.5290) Quantum optics : Photon statistics
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Image Processing

Original Manuscript: October 3, 2008
Revised Manuscript: November 25, 2008
Manuscript Accepted: November 26, 2008
Published: January 26, 2009

Asma Al-Qasimi and Daniel F. V. James, "Nonexistence of entanglement sudden death in dephasing of high NOON states," Opt. Lett. 34, 268-270 (2009)

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