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

By Alexandr Sergeevich, Anushya Chandran, Joshua Combes, Stephen D. Bartlett and Howard M. Wiseman

Abstract

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.Comment: 5 pages, 3 figures, 1 table. Published versio

Topics: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics
Year: 2011
DOI identifier: 10.1103/PhysRevA.84.052315
OAI identifier: oai:arXiv.org:1102.3700
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