Optimal Mapping for Near-Term Quantum Architectures based on Rydberg Atoms

TL;DR

This paper introduces an optimal mapping algorithm for quantum circuits on Rydberg atom architectures with one-dimensional topology displacements, significantly reducing circuit depth and improving fidelity compared to traditional methods.

Contribution

It presents the first optimal circuit-to-architecture mapping algorithm leveraging 1D topology displacements for Rydberg atom quantum computers.

Findings

Circuit depth reduced by up to 58%

Fidelity increased by up to 29%

Conditions identified where topology displacements outperform swap gates

Abstract

Quantum algorithms promise quadratic or exponential speedups for applications in cryptography, chemistry and material sciences. The topologies of today's quantum computers offer limited connectivity, leading to significant overheads for implementing such quantum algorithms. One-dimensional topology displacements that remedy these limits have been recently demonstrated for architectures based on Rydberg atoms, and they are possible in principle in photonic and ion trap architectures. We present the first optimal quantum circuit-to-architecture mapping algorithm that exploits such one-dimensional topology displacements. We benchmark our method on quantum circuits with up to 15 qubits and investigate the improvements compared with conventional mapping based on inserting swap gates into the quantum circuits. Depending on underlying technology parameters, our approach can decrease the quantum circuit depth by up to 58% and increase the fidelity by up to 29%. We also study runtime and fidelity requirements on one-dimensional displacements and swap gates to derive conditions under which one-dimensional topology displacements provide benefits.