Compiling universal quantum circuits

TL;DR

This paper introduces a compilation method for quantum circuits that can simulate any n-qubit unitary operation by adjusting single-qubit gate angles, extending existing control techniques and remaining computationally feasible for multiple qubits.

Contribution

It presents a novel compilation approach enabling the design of universal quantum circuits for 3 to 5 qubits with specific CNOT counts, advancing quantum circuit synthesis.

Findings

Universal circuits for 3, 4, and 5 qubits identified

Method extends older quantum control techniques

Compilation remains computationally tractable for several qubits

Abstract

We propose a method of compiling that permits to identify quantum circuits able to simulate arbitrary $n$-qubit unitary operations via the adjustment of angles in single-qubit gates therein. The method of compiling itself extends older quantum control techniques and stays computationally tractable for several qubits. As an application we identify compiling universal circuits for $3$, $4$ and $5$ qubits consisting of $16$, $64$ and $ 256$ CNOTs respectively.