Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis

Details Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis

2011-02-17

arxiv.org/abs/1102.3700v2

Phys. Rev. A 84, 052315 (2011)

Physics

Quantum Physics

5 pages, 3 figures, 1 table. Published version

Scientific paper

10.1103/PhysRevA.84.052315

We investigate schemes for Hamiltonian parameter estimation of a two-level system using repeated measurements in a fixed basis. The simplest (Fourier based) schemes yield an estimate with a mean square error (MSE) that decreases at best as a power law ~N^{-2} in the number of measurements N. By contrast, we present numerical simulations indicating that an adaptive Bayesian algorithm, where the time between measurements can be adjusted based on prior measurement results, yields a MSE which appears to scale close to \exp(-0.3 N). That is, measurements in a single fixed basis are sufficient to achieve exponential scaling in N.

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