Geometric phase gate on an optical transition for ion trap quantum computation

TL;DR

This paper proposes a geometric phase gate for ion trap quantum computing using optical transitions, offering low error rates and compatibility with magnetic field insensitive states.

Contribution

It introduces a novel geometric phase gate leveraging optical dipole-forbidden transitions, enhancing fidelity and robustness in ion trap quantum computation.

Findings

Estimated infidelity of around 10^-4 with current technology

Low spontaneous emission rates due to optical transition choice

Applicable to magnetic field insensitive states

Abstract

We propose a geometric phase gate of two ion qubits that are encoded in two levels linked by an optical dipole-forbidden transition. Compared to hyperfine geometric phase gates mediated by electric dipole transitions, the gate has many interesting properties, such as very low spontaneous emission rates, applicability to magnetic field insensitive states, and use of a co-propagating laser beam geometry. We estimate that current technology allows for infidelities of around 10$^{-4}$.