Generalized Limits for Single-Parameter Quantum Estimation

Details Generalized Limits for Single-Parameter Quantum Estimation Generalized Limits for Single-Parameter Quantum Estimation

2006-09-22

arxiv.org/abs/quant-ph/0609179v2

Phys. Rev. Lett. 98, 090401 (2007)

Physics

Quantum Physics

4 pages, 1 figure. v2 typos corrected

Scientific paper

10.1103/PhysRevLett.98.090401

We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multi-system interactions. For a Hamiltonian with $k$-system parameter-sensitive terms, the quantum limit scales as $1/N^k$ where $N$ is the number of systems. These quantum limits remain valid when the Hamiltonian is augmented by any parameter independent interaction among the systems and when adaptive measurements via parameter-independent coupling to ancillas are allowed.

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