Optimal control of entangling operations for trapped ion quantum computing

TL;DR

This paper develops an optimal control method for decomposing quantum operations into entangling and single-qubit gates tailored for trapped ion quantum computers, improving gate implementation efficiency.

Contribution

It adapts a gradient-ascent algorithm for trapped ion systems and provides explicit decompositions for key quantum gates and error correction protocols.

Findings

Explicit decompositions of CNOT and Toffoli gates.

Implementation of a quantum error correction protocol.

Enhanced control techniques for trapped ion quantum computing.

Abstract

Optimal control techniques are applied for the decomposition of unitary quantum operations into a sequence of single-qubit gates and entangling operations. To this end, we modify a gradient-ascent algorithm developed for systems of coupled nuclear spins in molecules to make it suitable for trapped ion quantum computing. We decompose unitary operations into entangling gates that are based on a nonlinear collective spin operator and complemented by global spinflip and local light shift gates. Among others, we provide explicit decompositions of controlled-NOT and Toffoli gates, and a simple quantum error correction protocol.