Sampling functions for multimode homodyne tomography with a single local oscillator

Abstract

We derive various sampling functions for multimode homodyne tomography with a single local oscillator. These functions allow us to sample multimode s-parametrized quasidistributions, density matrix elements in Fock basis, and s-ordered moments of arbitrary order directly from the measured quadrature statistics. The inevitable experimental losses can be compensated by proper modification of the sampling functions. Results of Monte Carlo simulations for squeezed three-mode state are reported and the feasibility of reconstruction of the three-mode Q-function and s-ordered moments from 10^7 sampled data is demonstrated.

12 pages, 8 figures, REVTeX, submitted Phys. Rev. A

References in corpus (1)

• Universal homodyne tomography with a single local oscillator

Cited by in corpus (4)

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• Entanglement-based continuous-variable quantum key distribution with multimode states and detectors
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• Experimental investigation of heralded Gaussification of phase-randomized coherent states of light