Quantum computational advantage of noisy boson sampling with partially distinguishable photons

Fuente: arXiv
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Autori principali: Go, Byeongseon, Oh, Changhun, Jeong, Hyunseok
Natura: Preprint
Pubblicazione: 2025
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author Go, Byeongseon
Oh, Changhun
Jeong, Hyunseok
author_facet Go, Byeongseon
Oh, Changhun
Jeong, Hyunseok
contents Boson sampling stands out as a promising approach toward experimental demonstration of quantum computational advantage. However, the presence of physical noise in near-term experiments hinders the realization of the quantum computational advantage with boson sampling. Since physical noise in near-term boson sampling devices is inevitable, precise characterization of the boundary of noise rates where the classical intractability of boson sampling is maintained is crucial for quantum computational advantage using near-term devices. In this work, we identify the level of partial distinguishability noise that upholds the classical intractability of boson sampling. We find that boson sampling with on average $O(\log N)$ number of distinguishable photons out of $N$ input photons maintains the equivalent complexity to the ideal boson sampling case. By providing strong complexity theoretical evidence for the classical intractability of noisy boson sampling, we expect that our findings will ultimately facilitate the demonstration of quantum computational advantage with noisy boson sampling experiments in the near future.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13433
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum computational advantage of noisy boson sampling with partially distinguishable photons
Go, Byeongseon
Oh, Changhun
Jeong, Hyunseok
Quantum Physics
Boson sampling stands out as a promising approach toward experimental demonstration of quantum computational advantage. However, the presence of physical noise in near-term experiments hinders the realization of the quantum computational advantage with boson sampling. Since physical noise in near-term boson sampling devices is inevitable, precise characterization of the boundary of noise rates where the classical intractability of boson sampling is maintained is crucial for quantum computational advantage using near-term devices. In this work, we identify the level of partial distinguishability noise that upholds the classical intractability of boson sampling. We find that boson sampling with on average $O(\log N)$ number of distinguishable photons out of $N$ input photons maintains the equivalent complexity to the ideal boson sampling case. By providing strong complexity theoretical evidence for the classical intractability of noisy boson sampling, we expect that our findings will ultimately facilitate the demonstration of quantum computational advantage with noisy boson sampling experiments in the near future.
title Quantum computational advantage of noisy boson sampling with partially distinguishable photons
topic Quantum Physics
url https://arxiv.org/abs/2501.13433