Continuous variables quantum computation over the vibrational modes of a single trapped ion

TL;DR

This paper proposes a quantum computing architecture using the vibrational modes of a single trapped ion with a continuous-variables approach, enabling complex quantum operations and readout.

Contribution

It introduces a novel continuous-variables framework for quantum computation with trapped ions, expanding the operational toolbox for vibrational modes.

Findings

Development of quantum operations for vibrational modes

Integration of non-linearity for mode interaction

Potential for arbitrary wave function manipulation

Abstract

We consider the quantum processor based on a chain of trapped ions to propose an architecture wherein the motional degrees of freedom of trapped ions (position and momentum) could be exploited as the computational Hilbert space. We adopt a continuous-variables approach to develop a toolbox of quantum operations to manipulate one or two vibrational modes at a time. Together with the intrinsic non-linearity of the qubit degree of freedom, employed to mediate the interaction between modes, arbitrary manipulation and readout of the ionic wave function could be achieved.