Maximum-likelihood coherent-state quantum process tomography

Details Maximum-likelihood coherent-state quantum process tomography Maximum-likelihood coherent-state quantum process tomography

2012-04-26

arxiv.org/abs/1204.5936v1

Physics

Quantum Physics

13 pages, 4 figures

Scientific paper

Coherent-state quantum process tomography (csQPT) is a method of completely characterizing a quantum-optical "black box" by probing it with coherent states and performing homodyne measurements on the output [M. Lobino et al, Science {\bf 322}, 563 (2008)]. We present a technique for csQPT that is fully based on statistical inference, specifically, quantum expectation-maximization. The method relies on the Jamiolkowski isomorphism and iteratively reconstructs the process tensor in the Fock basis directly from the experimental data. This approach permits incorporation of \emph{a priori} constraints into the reconstruction procedure, thereby guaranteeing that the resulting process tensor is physically consistent. Furthermore, our method is easier to implement and requires a narrower range of coherent states than its predecessors. We test its feasibility using simulations on several experimentally relevant processes.

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