Benchmarking of Gaussian boson sampling using two-point correlators

D. S. Phillips, M. Walschaers, J. J. Renema, I. A. Walmsley, N. Treps, J. Sperling

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Abstract

Gaussian boson sampling is a promising scheme for demonstrating a quantum computational advantage using photonic states that are accessible in a laboratory and, thus, offer scalable sources of quantum light. In this contribution, we study two-point photon-number correlation functions to gain insight into the interference of Gaussian states in optical networks. We investigate the characteristic features of statistical signatures which enable us to distinguish classical from quantum interference. In contrast to the typical implementation of boson sampling, we find additional contributions to the correlators under study which stem from the phase dependence of Gaussian states and which are not observable when Fock states interfere. Using the first three moments, we formulate the tools required to experimentally observe signatures of quantum interference of Gaussian states using two outputs only. By considering the current architectural limitations in realistic experiments, we further show that a statistically significant discrimination between quantum and classical interference is possible even in the presence of loss, noise, and a finite photon-number resolution. Therefore, we formulate and apply a theoretical framework to benchmark the quantum features of Gaussian boson sampling under realistic conditions.
Original languageEnglish
Article number023836
JournalPhysical Review A
Volume99
Issue number2
DOIs
Publication statusPublished - 19 Feb 2019

Cite this

Phillips, D. S., Walschaers, M., Renema, J. J., Walmsley, I. A., Treps, N., & Sperling, J. (2019). Benchmarking of Gaussian boson sampling using two-point correlators. Physical Review A, 99(2), [023836]. https://doi.org/10.1103/PhysRevA.99.023836
Phillips, D. S. ; Walschaers, M. ; Renema, J. J. ; Walmsley, I. A. ; Treps, N. ; Sperling, J. / Benchmarking of Gaussian boson sampling using two-point correlators. In: Physical Review A. 2019 ; Vol. 99, No. 2.
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abstract = "Gaussian boson sampling is a promising scheme for demonstrating a quantum computational advantage using photonic states that are accessible in a laboratory and, thus, offer scalable sources of quantum light. In this contribution, we study two-point photon-number correlation functions to gain insight into the interference of Gaussian states in optical networks. We investigate the characteristic features of statistical signatures which enable us to distinguish classical from quantum interference. In contrast to the typical implementation of boson sampling, we find additional contributions to the correlators under study which stem from the phase dependence of Gaussian states and which are not observable when Fock states interfere. Using the first three moments, we formulate the tools required to experimentally observe signatures of quantum interference of Gaussian states using two outputs only. By considering the current architectural limitations in realistic experiments, we further show that a statistically significant discrimination between quantum and classical interference is possible even in the presence of loss, noise, and a finite photon-number resolution. Therefore, we formulate and apply a theoretical framework to benchmark the quantum features of Gaussian boson sampling under realistic conditions.",
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Phillips, DS, Walschaers, M, Renema, JJ, Walmsley, IA, Treps, N & Sperling, J 2019, 'Benchmarking of Gaussian boson sampling using two-point correlators' Physical Review A, vol. 99, no. 2, 023836. https://doi.org/10.1103/PhysRevA.99.023836

Benchmarking of Gaussian boson sampling using two-point correlators. / Phillips, D. S.; Walschaers, M.; Renema, J. J.; Walmsley, I. A.; Treps, N.; Sperling, J.

In: Physical Review A, Vol. 99, No. 2, 023836, 19.02.2019.

Research output: Contribution to journalArticleAcademicpeer-review

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Phillips DS, Walschaers M, Renema JJ, Walmsley IA, Treps N, Sperling J. Benchmarking of Gaussian boson sampling using two-point correlators. Physical Review A. 2019 Feb 19;99(2). 023836. https://doi.org/10.1103/PhysRevA.99.023836