Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states
arXiv:1304.6307 · doi:10.1103/PhysRevA.88.022101
Abstract
An arbitrary quantum-optical process (channel) can be completely characterized by probing it with coherent states using the recently developed coherent-state quantum process tomography (QPT) [Lobino et al., Science 322, 563 (2008)]. In general, precise QPT is possible if an infinite set of probes is available. Thus, realistic QPT of infinite-dimensional systems is approximate due to a finite experimentally-feasible set of coherent states and its related energy-cut-off approximation. We show with explicit formulas that one can completely identify a quantum-optical Gaussian process just with a few different coherent states without approximations like the energy cut-off. For tomography of multimode processes, our method exponentially reduces the number of different test states, compared with existing methods.
6 pages, 1 figure. Some parts of this article are based on our preliminary unpublished version arXiv:1010.0472v1
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