Universal hybrid quantum computing in trapped ions

TL;DR

This paper proposes a hybrid quantum computing scheme in trapped ions that combines discrete and continuous variables to enable universal quantum computation through a set of generated Gaussian and non-Gaussian operations.

Contribution

It introduces a novel hybrid scheme utilizing linear spin-motion interactions to generate essential non-linear operations for continuous variable quantum computing in trapped ions.

Findings

Demonstrates how to generate a broad set of non-linear spin-motion interactions

Proposes experimental implementations with laser-based and laser-free methods

Enables universal quantum computation in trapped ion systems

Abstract

Using discrete and continuous variable subsystems, hybrid approaches to quantum information could enable more quantum computational power for the same physical resources. Here, we propose a hybrid scheme that can be used to generate the necessary Gaussian and non-Gaussian operations for universal continuous variable quantum computing in trapped ions. This scheme utilizes two linear spin-motion interactions to generate a broad set of non-linear effective spin-motion interactions including one and two mode squeezing, beam splitter, and trisqueezing operations in trapped ion systems. We discuss possible experimental implementations using laser-based and laser-free approaches.