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Journal Articles Physical Review Letters Year : 2009

Entanglement, Nonlinear Dynamics, and the Heisenberg Limit

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Abstract

We show that the quantum Fisher information provides a sufficient condition to recognize multi-particle entanglement in a N qubit state. The same criterion gives a necessary and sufficient condition for sub shot-noise phase sensitivity in the estimation of a collective rotation angle θ . The analysis therefore singles out the class of entangled states which are {\it useful} to overcome classical phase sensitivity in metrology and sensors. We finally study the creation of useful entangled states by the non-linear dynamical evolution of two decoupled Bose-Einstein condensates or trapped ions.
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hal-00626569 , version 1 (31-03-2016)

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Luca Pezzé, A. Smerzi. Entanglement, Nonlinear Dynamics, and the Heisenberg Limit. Physical Review Letters, 2009, 102 (10), pp.100401. ⟨10.1103/PhysRevLett.102.100401⟩. ⟨hal-00626569⟩
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