Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir

TL;DR

This paper demonstrates how a single-site squeezed reservoir can dissipatively generate a broad class of Gaussian entangled states in bosonic lattices, including states useful for quantum computing, with minimal resources.

Contribution

It introduces a method for preparing complex entangled Gaussian states in bosonic lattices using only a localized squeezed reservoir and quadratic Hamiltonians.

Findings

Steady states include a wide class of pure Gaussian states

Preparation of multipartite entangled states like cluster states

Minimal resource requirement with a single squeezed reservoir

Abstract

We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models which could be relevant for quantum technology applications. We assume minimal resources, represented by systems described by particle-conserving quadratic Hamiltonians, with a single localized squeezed reservoir. We show that in this way it is possible to prepare, in the steady state, the wide class of pure states which can be generated by applying a generic passive Gaussian transformation on a set of equally squeezed modes. This includes non-trivial multipartite entangled states such as cluster states suitable for measurement-based quantum computation.