A proposal for a scalable universal bosonic simulator using individually trapped ions

TL;DR

This paper proposes a scalable architecture for a universal bosonic simulator using individually trapped ions, enabling complex quantum simulations by controlling motional states and interactions beyond the Lamb-Dicke regime.

Contribution

It introduces a novel ion-trap-based design for a universal bosonic simulator capable of implementing various quantum operations with high precision.

Findings

Design allows implementation of linear and nonlinear bosonic operations

Processes can be performed beyond the Lamb-Dicke regime

Potential application to adiabatic ion splitting

Abstract

We describe a possible architecture to implement a universal bosonic simulator (UBS) using trapped ions. Single ions are confined in individual traps, and their motional states represent the bosonic modes. Single-mode linear operators, nonlinear phase-shifts, and linear beam splitters can be realized by precisely controlling the trapping potentials. All the processes in a bosonic simulation, except the initialization and the readout, can be conducted beyond the Lamb-Dicke regime. Aspects of our proposal can also be applied to split adiabatically a pair of ions in a single trap.