Design and optimisation of quantum logic circuits for a three-qubit Deutsch-Jozsa algorithm implemented with optically-controlled, solid-state quantum logic gates

TL;DR

This paper designs and optimizes quantum logic circuits for a three-qubit Deutsch-Jozsa algorithm using optically-controlled solid-state quantum gates, focusing on reducing computation time while avoiding information leakage.

Contribution

It introduces a geometrical analysis of entangling gates and employs genetic programming to optimize circuit design for faster quantum computations.

Findings

Controlled-phase gates yield shorter total computation times.

Two approaches tested: controlled-phase and arbitrary entangling gates.

Optimized circuits improve speed without quantum information leakage.

Abstract

We analyse the design and optimisation of quantum logic circuits suitable for the experimental demonstration of a three-qubit quantum computation prototype based on optically-controlled, solid-state quantum logic gates. In these gates, the interaction between two qubits carried by the electron-spin of donors is mediated by the optical excitation of a control particle placed in their proximity. First, we use a geometrical approach for analysing the entangling characteristics of these quantum gates. Then, using a genetic programming algorithm, we develop circuits for the refined Deutsch-Jozsa algorithm investigating different strategies for obtaining short total computational times. We test two separate approaches based on using different sets of entangling gates with the shortest possible gate computation time which, however, does not introduce leakage of quantum information to the control particles. The first set exploits fast approximations of controlled-phase gates as entangling gates, while the other one arbitrary entangling gates with a shorter gate computation time compared to the first set. We have identified circuits with consistently shorter total computation times when using controlled-phase gates.