Mapping Quantum Circuits to Ions in Storage Ring Quantum Computer Architectures

TL;DR

This paper explores methods for mapping quantum circuits onto ion-based qubits in storage ring quantum computers, analyzing architectures, parallelism, and addressing a key predecessor problem with general solutions.

Contribution

It introduces a general methodology for mapping quantum circuits to storage ring quantum computers, including architectures, parallelism strategies, and a solution to the predecessor problem.

Findings

Parallelism enhances storage ring quantum computer performance

A solution to the predecessor problem improves mapping efficiency

Numerical sizing and timing calculations demonstrate feasibility

Abstract

The mapping of quantum circuits to qubits represented by ion states in a storage ring quantum computer is examined. Serial, parallel and hybrid architectures for mapping such qubits onto a storage ring quantum computer are presented. Parallelism is an important part of the SRQC architecture in terms of multiple ions, windows and lasers. A "predecessor problem" that arises in such architectures is identified and a solution is proposed. Representative numerical sizing and timing calculations are presented. The entire methodology is very general and extends to several implementation options. Open problems are identified.