Adaptive Bayesian Quantum Tomography

Details Adaptive Bayesian Quantum Tomography Adaptive Bayesian Quantum Tomography

2011-07-05

arxiv.org/abs/1107.0895v2

Physics

Quantum Physics

4 pages, 3 figures, updated references, clarified exposition

Scientific paper

In this letter we revisit the problem of optimal design of quantum tomographic experiments. In contrast to previous approaches where an optimal set of measurements is decided in advance of the experiment, we allow for measurements to be adaptively and efficiently re-optimised depending on data collected so far. We develop an adaptive statistical framework based on Bayesian inference and Shannon's information, and demonstrate a ten-fold reduction in the total number of measurements required as compared to non-adaptive methods, including mutually unbiased bases.

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