Diluted maximum-likelihood algorithm for quantum tomography

Details Diluted maximum-likelihood algorithm for quantum tomography Diluted maximum-likelihood algorithm for quantum tomography

2006-11-23

arxiv.org/abs/quant-ph/0611244v2

Physical Review A 75, 042108 (2007)

Physics

Quantum Physics

v2: Convergence proof added

Scientific paper

10.1103/PhysRevA.75.042108

We propose a refined iterative likelihood-maximization algorithm for reconstructing a quantum state from a set of tomographic measurements. The algorithm is characterized by a very high convergence rate and features a simple adaptive procedure that ensures likelihood increase in every iteration and convergence to the maximum-likelihood state. We apply the algorithm to homodyne tomography of optical states and quantum tomography of entangled spin states of trapped ions and investigate its convergence properties.

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