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Trapped Ion Quantum Computing

Benchmarking Techniques for Decoded Quantum Interferometry

arXiv
Authors: Leon Bollmann, Maximilian Hess

Year

2026

Paper ID

35709

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

We develop a new benchmarking scheme for the Decoded Quantum Interferometry (DQI) algorithm quantifying the number of quantum gates required to obtain an optimal solution to a problem amenable to DQI. We apply the benchmarking scheme to the Binary Paint Shop Problem (BPSP) in order to benchmark the performance of DQI against a state of the art classical solver. To do so, we provide an explicit construction of a quantum circuit implementation of a greedy decoder for low-density parity check codes arising from max-2-XORSAT problems.

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  • We develop a new benchmarking scheme for the Decoded Quantum Interferometry (DQI) algorithm quantifying the number of quantum gates required to obtain an optimal solution to a...

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