Nonexistence of Entanglement Sudden Death in High NOON States

Abstract

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.

4 pages, 1 figure

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Cited by in corpus (7)

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• Decoherence effects in interacting qubits under the influence of various environments
• Effects of Phase Fluctuations on Phase Sensitivity and Visibility of Path-Entangled Photon Fock States
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Inefficiency of classically simulating linear optical quantum computing with Fock-state inputs
• Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
• Transferring entanglement to the steady-state of flying qubits