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Current advances in nonlinear optics have made it possible to perform ahomodyne-like tomography of an unknown state without highly efficient detectorsor a strong local oscillator. Thereby, a new experimental direction has beenopened into multimode and large-bandwidth quantum optics. An optical parametricamplifier (OPA) allows us to reconstruct the quadrature distribution of anunknown state directly from the measured intensity distribution with highprecision. We propose adding a controllable displacement to the standardscheme, obtaining an improved method applicable even to asymmetric andnon-Gaussian states while significantly increasing estimation accuracy andlowering the OPA amplification requirement. To demonstrate the power of ourmethod, we accurately detect the sub-Planck phase-space structure by adistillable squeezing from the OPA estimates of various non-Gaussian states.With the improvements, OPA tomography became a generally applicableloss-tolerant and efficient alternative to OPA-assisted homodyne detection.

Efficient OPA tomography of non-Gaussian states of light