Practical Framework for Conditional Non-Gaussian Quantum State Preparation
Mattia Walschaers, Valentina Parigi, Nicolas Treps
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 Einstein-Podolsky-Rosen steering is a necessary requirement to remotely prepare a Wigner-negative state.
Topics & Concepts
Formalism (music)QuantumComputer scienceQuantum entanglementGaussianRepresentation (politics)Quantum stateQuantum operationStatistical physicsMulti-mode optical fiberMathematicsQuantum processWigner distribution functionAlgorithmQuantum algorithmQuantum mechanicsState (computer science)Quantum computerPhysicsQuantum systemOpen quantum systemQuantum error correctionFunction (biology)Theoretical computer scienceTopology (electrical circuits)Quantum networkQuantum technologyAction (physics)Quantum opticsTheoretical physicsAlgebra over a fieldQuantum capacityQuantum Information and CryptographyQuantum Mechanics and ApplicationsMechanical and Optical Resonators