Conditional non-Gaussian quantum state preparation

Abstract

We develop a general formalism, based on the Wigner function representation of continuous-variable quantum states, to describe the action of an arbitrary conditional operation on a multimode Gaussian state. We apply this formalism to several examples, thus showing its potential as an elegant analytical tool for simulating quantum optics experiments. Furthermore, we also use it to prove that EPR steering is a necessary requirement to remotely prepare a Wigner-negative state.

12 pages, 3 figures

References in corpus (13)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Quantification of Gaussian quantum steering
• Observation of one-way Einstein-Podolsky-Rosen steering
• Increasing entanglement between Gaussian states by coherent photon subtraction
• Building Gaussian Cluster States by Linear Optics
• Full multipartite entanglement of frequency comb Gaussian states
• Entanglement and Wigner function negativity of multimode non-Gaussian states
• Experimental device-independent verification of quantum steering
• Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States
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Cited by in corpus (26)

• Non-Gaussian Quantum States and Where to Find Them
• Generation of optical Schrödinger's cat states by generalized photon subtraction
• Experimental demonstration of remotely creating Wigner negativity via quantum steering
• Fast simulation of bosonic qubits via Gaussian functions in phase space
• Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
• Wave-function engineering via conditional quantum teleportation with non-Gaussian entanglement resource
• Sensing Single Photon in a Cat State
• Quantification of Wigner Negativity Remotely Generated via Einstein-Podolsky-Rosen Steering
• Teleportation-based noiseless quantum amplification of coherent states of light
• Homodyne detection of non-Gaussian quantum steering
• Non-Gaussian photonic state engineering with the quantum frequency processor
• Clifford operations and homological codes for rotors and oscillators
• Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit
• Orbital angular momentum-enhanced phase estimation using non-Gaussian state with photon loss
• Orbital-Free Quasi-Density Functional Theory
• On Quantum Steering and Wigner Negativity
• Toolbox for non-classical state calculations
• Two-mode light states before and after delocalized single-photon addition
• Steady-state tripartite non-Gaussian entanglement and steering in output field from intracavity triple-photon parametric downconversion
• Coupled three-mode squeezed vacuum: Gaussian steering and remote generation of Wigner negativity
• Engineering continuous-variable entanglement in mechanical oscillators with optimal control
• Husimi phase distribution in non-Gaussian operations
• Distortions produced in optical homodyne tomography
• Latent optical nonclassicality of conditionally prepared states
• Isospectral oscillators as a resource for quantum information processing
• Stimulated parametric down-conversion for spatiotemporal metrology