Entanglement, Nonlinear Dynamics, and the Heisenberg Limit
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- 10 March 2009
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 102 (10), 100401
- https://doi.org/10.1103/physrevlett.102.100401
Abstract
International audienceWe 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 ionsKeywords
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