Generalized Limits for Single-Parameter Quantum Estimation

Sergio Boixo, Steven T. Flammia, Carlton M. Caves, and JM Geremia
Phys. Rev. Lett. 98, 090401 – Published 28 February 2007

Abstract

We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multisystem interactions. For a Hamiltonian with k-system parameter-sensitive terms, the quantum limit scales as 1/Nk, 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.

  • Figure
  • Received 22 September 2006

DOI:http://dx.doi.org/10.1103/PhysRevLett.98.090401

©2007 American Physical Society

Authors & Affiliations

Sergio Boixo, Steven T. Flammia, Carlton M. Caves, and JM Geremia

  • Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA

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Vol. 98, Iss. 9 — 2 March 2007

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