Input phase noise in Gaussian Boson sampling

Fuente: arXiv
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Main Authors: Parýzková, Magdalena, Hamilton, Craig S., Jex, Igor, Stefszky, Michael, Silberhorn, Christine
Format: Preprint
Published: 2025
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author Parýzková, Magdalena
Hamilton, Craig S.
Jex, Igor
Stefszky, Michael
Silberhorn, Christine
author_facet Parýzková, Magdalena
Hamilton, Craig S.
Jex, Igor
Stefszky, Michael
Silberhorn, Christine
contents Gaussian boson sampling is an important protocol for testing the performance of photonic quantum simulators. As such, various noise sources have been investigated that degrade the operation of such devices. In this paper, we examine a situation with phase noise between different modes of the input state leading to dephasing of the system. This models the phase fluctuations which remain even when the mean phase is controlled. We aim to determine whether these phase-noisy input states still form a computationally difficult problem. To do this, we use Matrix Product Operators to model the system, a technique recently used to model boson sampling scenarios. Our investigation finds that the Entanglement entropy grows linearly with the number of input states even for noisy input states. This implies that, unlike boson loss, this form of experimentally relevant noise remains difficult to simulate with tensor networks and may allow for the demonstration of quantum advantage without the need for implementing the challenging task of input-state phase stabilisation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19596
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Input phase noise in Gaussian Boson sampling
Parýzková, Magdalena
Hamilton, Craig S.
Jex, Igor
Stefszky, Michael
Silberhorn, Christine
Quantum Physics
Gaussian boson sampling is an important protocol for testing the performance of photonic quantum simulators. As such, various noise sources have been investigated that degrade the operation of such devices. In this paper, we examine a situation with phase noise between different modes of the input state leading to dephasing of the system. This models the phase fluctuations which remain even when the mean phase is controlled. We aim to determine whether these phase-noisy input states still form a computationally difficult problem. To do this, we use Matrix Product Operators to model the system, a technique recently used to model boson sampling scenarios. Our investigation finds that the Entanglement entropy grows linearly with the number of input states even for noisy input states. This implies that, unlike boson loss, this form of experimentally relevant noise remains difficult to simulate with tensor networks and may allow for the demonstration of quantum advantage without the need for implementing the challenging task of input-state phase stabilisation.
title Input phase noise in Gaussian Boson sampling
topic Quantum Physics
url https://arxiv.org/abs/2512.19596