Entanglement, Nonlinear Dynamics, and the Heisenberg Limit

Journal Article · Fri Mar 13 00:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.100401· OSTI ID:21180271

Pezze, Luca; Smerzi, Augusto ^[1]

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1. BEC-CNR-INFM and Dipartimento di Fisica, Universita di Trento, I-38050 Povo (Italy)

We show that quantum Fisher information provides a sufficient condition to recognize multiparticle entanglement in an 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 {theta}. The analysis therefore singles out the class of entangled states which are useful to overcome classical phase sensitivity in metrology and sensors. We finally study the creation of useful entangled states by the nonlinear dynamical evolution of two decoupled Bose-Einstein condensates or trapped ions.

• OSTI ID: 21180271
• Journal Information: Physical Review Letters, Vol. 102, Issue 10; Other Information: DOI: 10.1103/PhysRevLett.102.100401; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
EVOLUTION
IONS
NOISE
NONLINEAR PROBLEMS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
SENSORS
TRAPPING