Circuit Design for a Star-shaped Spin-Qubit Processor via Algebraic Decomposition and Optimal Control

TL;DR

This paper introduces an algebraic decomposition algorithm for designing optimized quantum circuits tailored to star-shaped quantum processors, demonstrated on nitrogen-vacancy center-based hardware.

Contribution

It presents a novel algebraic circuit decomposition method combined with optimal control for star-shaped quantum architectures, enabling efficient implementation on specific hardware.

Findings

Effective circuit decomposition for star-shaped topologies

Numerical demonstration on nitrogen-vacancy center system

Enhanced implementation efficiency for quantum algorithms

Abstract

As quantum processing units grow in size and precision we enter the stage where quantum algorithms can be tested on actual quantum devices. To implement a given quantum circuit on a given quantum device, one has to express the circuit in terms of the gates that can be efficiently realized on the device. We propose an algorithm based on algebraic circuit decomposition for tailored application of optimal-control gates for quantum computing platforms with star-shaped topologies. We then show numerically how the resulting circuits can be implemented on a quantum processing unit consisting of a nitrogen-vacancy center in diamond and surrounding nuclear spins.