Scalability enhancement of quantum computing under limited connectivity through distributed quantum computing
arxiv(2024)
摘要
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 an allocation 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.
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