From particle counting to Gaussian tomography

Abstract

All the $n(2n+3)$ mean and covariance parameters of an $n$-mode Gaussian states are expressed in terms of the expectation values of the same number of conjugates of the total number observable. This permits a complete tomography of the state. The same is applied to outputs of a Gaussian channel corresponding to selected coherent states to perform the complete tomography of the channel. This leads to some interesting problems concerning the distribution of the number operator and also tomographic complexity.

References in corpus (3)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Complete Characterization of Quantum-Optical Processes
• Quantum process tomography with coherent states

Cited by in corpus (9)

• A Common Parametrization for Finite Mode Gaussian States, their Symmetries and associated Contractions with some Applications
• Exchangeable, stationary and entangled chains of Gaussian states
• On the equivalence of separability and extendability of quantum states
• Optimal characterization of Gaussian channels using photon-number-resolving detectors
• Multi-mode Gaussian State Analysis with Total Photon Counting
• Optomechanical state reconstruction and nonclassicality verification beyond the resolved-sideband regime
• Generating random Gaussian states
• Infinite dimensional dynamical maps
• Multi-mode Gaussian State Analysis with one Bounded Photon Counter