Scalability enhancement of quantum computing under limited connectivity through distributed quantum computing
Abstract
We employ quantum-volume random-circuit sampling to benchmark the two-QPU entanglement-assisted distributed quantum computing (DQC) and compare it with single-QPU quantum computing. We first specify a single-qubit depolarizing noise model in the random circuit. Based on this error model, we show the one-to-one correspondence of three figures of merits, namely average gate fidelity, heavy output probability, and linear cross-entropy. We derive an analytical approximation of the average gate fidelity under the specified noise model, which is shown to align with numerical simulations. The approximation is calculated based on a noise propagation matrix obtained from the extended connectivity graph of a DQC device. In numerical simulation, we unveil the scalability enhancement in DQC for the QPUs with limited connectivity. Furthermore, we provide a simple formula to estimate the average gate fidelity, which also provides us with a heuristic method to evaluate the scalability enhancement in DQC, and a guide to optimize the structure of a DQC configuration.
Cite
@article{arxiv.2405.10942,
title = {Scalability enhancement of quantum computing under limited connectivity through distributed quantum computing},
author = {Shao-Hua Hu and George Biswas and Jun-Yi Wu},
journal= {arXiv preprint arXiv:2405.10942},
year = {2024}
}
Comments
V1: 13 pages, 18 figures, 5-page appendix and references. V2: Some typos are fixed. Section III B and the appendix are amended