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Sub shot-noise interferometric phase sensitivity with beryllium ions Schrödinger cat states

L. Pezzé and A. Smerzi

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Interferometry with NOON quantum states can provide unbiased phase estimation with a sensitivity scaling as Δθ ~ 1/NT given a prior knowledge that the true phase shift θ lies in the interval −π ≤ θ ≤ π. The protocol requires a total of NT = 2p−1 particles (unequally) distributed among p independent measurements and overcomes basic difficulties present in previously proposed approaches. We demonstrate the possibility to obtain a phase sensitivity beating the classical shot-noise limit using published probabilities retrieved experimentally for the creation of Schrödinger cat quantum states containing up to N = 6 beryllium ions.


PACS

03.75.Dg Atom and neutron interferometry

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

42.50.-p Quantum optics

Subjects

Quantum gases, liquids and solids

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 3 (May 2007)

Received 20 November 2006, in final form 19 March 2007

Published 27 April 2007



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