Deterministic Preparation of Non-Gaussian Quantum States: Applications in Quantum Information Protocols

TL;DR

This paper presents a deterministic method for preparing non-Gaussian quantum states using a quadrature rotation, enabling on-demand generation with potential applications in quantum information processing.

Contribution

A novel deterministic scheme for preparing non-Gaussian quantum states on-demand using quadrature rotation and two-mode photon-number squeezed states.

Findings

Generated states exhibit quantum vortex structure in quadrature space.

Non-Gaussian states show increased entanglement, measured by Logarithmic Negativity.

States have negative Wigner function volume, indicating strong non-classicality.

Abstract

We report a scheme for deterministic preparation of non-Gaussian quantum states on-demand. In contrast to probabilistic approaches for preparation of non-Gaussian quantum states, conditioned on photon subtraction or addition, we present a scheme that can prepare non-Gaussian quantum states on-demand, by applying a unitary transformation which removes the Gaussianity of measurement statistics of field quadratures, namely a quadrature rotation via transmission through a beam-splitter, using a two-mode photon-number squeezed state as input. The resulting state exhibits a quantum vortex structure in quadrature space, confirming its non-Gaussian nature. Such non-Gaussian quantum state also reveals increased entanglement content, as quantified by the Logarithmic Negativity and the Wigner function negative volume, therefore displaying high potential for applications in quantum information protocols, in particular for applications in entanglement distillation schemes.