Production and applications of non-Gaussian quantum states of light

Abstract

This review covers recent theoretical and experimental efforts to extend the application of the continuous-variable quantum technology of light beyond "Gaussian" quantum states, such as coherent and squeezed states, into the domain of "non-Gaussian" states with negative Wigner functions. Starting with basic Gaussian nonclassicality associated with single- and two-mode vacuum states produced by means of parametric down-conversion and applying a set of standard tools, such as linear interferometry, coherent state injection, and conditional homodyne and photon number measurements, one can implement a large variety of optical states and processes that are relevant in fundamental quantum physics as well as quantum optical information processing. We present a systematic review of these methods, paying attention to both fundamental and practical aspects of their implementation, as well as a comprehensive overview of the results achieved therewith.

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• Direct experimental certification of quantum non-Gaussian character and Wigner function negativity of single-photon detectors
• A theoretical framework for photon-subtraction with non-mode selective resources
• Toolbox for non-classical state calculations
• Optimal implementation of two-qubit linear optical quantum filters
• Preparation of Schrödinger cat quantum state using parametric down-conversion interaction
• Tomographic markers and photon addition to coherent states of light: Comparison with experiment
• Adding or Subtracting a single Photon is the same for Pure Squeezed Vacuum States
• Stimulated parametric down-conversion for spatiotemporal metrology