Quantum criticality as a resource for quantum estimation

Details Quantum criticality as a resource for quantum estimation Quantum criticality as a resource for quantum estimation

2007-08-08

arxiv.org/abs/0708.1089v2

Phys Rev A vol 78, 042105 (2008)

Physics

Quantum Physics

7 pages. Revised and extended version. Gained one author and a specific example

Scientific paper

10.1103/PhysRevA.78.042105

We address quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters. In particular, if L denotes the size of a system and \lambda is the relevant coupling parameters driving a quantum phase transition, we show that a precision improvement of order 1/L may be achieved in the estimation of \lambda at the critical point compared to the non-critical case. We show that analogue results hold for temperature estimation in classical phase transitions. Results are illustrated by means of a specific example involving a fermion tight-binding model with pair creation (BCS model).

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