Generalized Limits for Single-Parameter Quantum Estimation

Abstract

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.

4 pages, 1 figure. v2 typos corrected

References in corpus (2)

• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Efficient one-step generation of large cluster states with solid-state circuits

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