Generation of Kerr non-Gaussian motional states of trapped ions

TL;DR

This paper explores a method to generate complex non-Gaussian motional states in trapped ions using Kerr nonlinearity, enabling faster creation of superpositions with negative Wigner functions for quantum information applications.

Contribution

It demonstrates the feasibility of using Kerr nonlinearity for efficient generation of complex non-Gaussian states in trapped ions, surpassing previous displacement-based methods.

Findings

Feasibility confirmed under typical experimental conditions

Allows faster creation of superpositions of multiple coherent states

Produces states with negative Wigner functions

Abstract

Non-Gaussian states represent a powerful resource for quantum information protocols in the continuous variables regime. Cat states, in particular, have been produced in the motional degree of freedom of trapped ions by controlled displacements dependent on the ionic internal state. An alternative method harnesses the Kerr nonlinearity naturally existent in this kind of system. We present detailed calculations confirming its feasibility for typical experimental conditions. Additionally, this method permits the generation of complex non-Gaussian states with negative Wigner functions. Especially, superpositions of many coherent states are achieved at a fraction of the time necessary to produce the cat state.