Nonexistence of Entanglement Sudden Death in High NOON States

Details Nonexistence of Entanglement Sudden Death in High NOON States Nonexistence of Entanglement Sudden Death in High NOON States

2008-10-02

arxiv.org/abs/0810.0550v1

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

We study the dynamics of entanglement in continuous variable quantum systems (CVQS). 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 states, ESD never occurs. These states are generalizations of the so-called High NOON states, shown to decrease the Rayleigh limit of lambda to lambda/N, which promises great improvement in resolution of interference patterns if states with large N are physically realized. However, we show that in dephasing NOON states, the time to reach V_crit, critical visibility, 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.

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