Knowledge and ignorance in incomplete quantum state tomography

Details Knowledge and ignorance in incomplete quantum state tomography Knowledge and ignorance in incomplete quantum state tomography

2011-02-14

arxiv.org/abs/1102.2662v2

Phys. Rev. Lett. 107, 020404 (2011)

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.107.020404

Quantum state reconstruction on a finite number of copies of a quantum system with informationally incomplete measurements does, as a rule, not yield a unique result. We derive a reconstruction scheme where both the likelihood and the von Neumann entropy functionals are maximized in order to systematically select the most-likely estimator with the largest entropy, that is the least-bias estimator, consistent with a given set of measurement data. This is equivalent to the joint consideration of our partial knowledge and ignorance about the ensemble to reconstruct its identity. An interesting structure of such estimators will also be explored.

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