# Discrete-time reservoir engineering with entangled bath and stabilizing squeezed states

## TL;DR

This paper proposes a theoretical method to stabilize squeezed states of a harmonic oscillator using entangled qubits as a reservoir, with tunable properties and considerations of different entanglement types.

## Contribution

It introduces a novel reservoir engineering approach utilizing entangled qubits to stabilize and control squeezed states of a harmonic oscillator.

## Key findings

- Squeezing strength can be tuned via input qubit parameters.
- The type of entanglement affects stabilization properties.
- Tradeoff between squeezing and convergence rate.

## Abstract

This theoretical proposal investigates how resonant interactions occurring when a harmonic oscillator is fed with a stream of entangled qubits allow us to stabilize squeezed states of the harmonic oscillator. We show that the properties of the squeezed state stabilized by this engineered reservoir, including the squeezing strength, can be tuned at will through the parameters of the "input" qubits, albeit in tradeoff with the convergence rate. We also discuss the influence of the type of entanglement in the input, from a pairwise case to a more widely distributed case. This paper can be read in two ways: either as a proposal to stabilize squeezed states, or as a step towards treating quantum systems with time-entangled reservoir inputs.