Quantum computational advantage via high-dimensional Gaussian boson sampling
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A programmable quantum computer based on fiber optics outperforms classical computers with a high level of confidence.
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If one were to target a universal and programmable interferometer with depth equal to the number of modes that covers densely the set of unitary matrices, the exponential accumulation of loss would prohibit showing a quantum advantage.
“if one were to target a universal and programmable interferometer, with depth equal to the number of modes, that covers densely the set of unitary matrices, the exponential accumulation of loss would prohibit showing a quantum advantage.”
From Quantum computational advantage with a programmable photonic processor (2022) · cites this paper as [5]
Tensor network techniques are ruled out for speeding up simulation of the circuit considered; even with effectively infinite memory they require significantly more time than hafnian-based methods to calculate probability amplitudes.
“this possibility is ruled out in ref. 5 where it is shown that, even when giving tensor network algorithms effectively infinite memory, they require significantly more time than hafnian based methods to calculate probability amplitudes.”
From Quantum computational advantage with a programmable photonic processor (2022) · cites this paper as [5]
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Cites
Quantum supremacy using a programmable superconducting processor
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., Biswas, R., Boixo, S., Brandao, F. G. S. L., Buell, D. A., et al. (2019) · Nature · doi:10.1038/s41586-019-1666-5 · Cited by 7,720 · see citing works
Quantum computational advantage using photons
Zhong, H.-S., Wang, H., Deng, Y.-H., Chen, M.-C., Peng, L.-C., Luo, Y.-H., Qin, J., Wu, D., Ding, X., Hu, Y., et al. (2020) · Science · doi:10.1126/science.abe8770 · Cited by 2,405 · see citing works
Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
Zhong, H.-S., Deng, Y.-H., Qin, J., Wang, H., Chen, M.-C., Peng, L.-C., Luo, Y.-H., Wu, D., Gong, S.-Q., Su, H., et al. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.180502 · Cited by 434 · see citing works
Detailed study of Gaussian boson sampling
Kruse, R., Hamilton, C. S., Sansoni, L., Barkhofen, S., Silberhorn, C., & Jex, I. (2019) · Physical Review A · doi:10.1103/physreva.100.032326 · Cited by 180 · see citing works
Regimes of Classical Simulability for Noisy Gaussian Boson Sampling
Qi, H., Brod, D. J., Quesada, N., & García-Patrón, R. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.100502 · Cited by 87 · see citing works
Self-citationThe Computational Complexity of Linear Optics
Aaronson, S., & Arkhipov, A. (2014) · Research in Optical Sciences · doi:10.1364/qim.2014.qth1a.2 · Cited by 75 · see citing works
Quadratic Speed-Up for Simulating Gaussian Boson Sampling
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Quantum computational advantage with a programmable photonic processor
Madsen, L. S., Laudenbach, F., Askarani, M. F., Rortais, F., Vincent, T., Bulmer, J. F. F., Miatto, F. M., Neuhaus, L., Helt, L. G., Collins, M. J., et al. (2022) · Nature · doi:10.1038/s41586-022-04725-x · Cited by 1,031 · see citing works
Self-citationComputational advantage of quantum random sampling
Hangleiter, D., & Eisert, J. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.035001 · Cited by 145 · see citing works
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- Authors
- Deshpande, A., Mehta, A., Vincent, T., Quesada, N., Hinsche, M., Ioannou, M., Madsen, L., Lavoie, J., Qi, H., Eisert, J., Hangleiter, D., Fefferman, B., & Dhand, I.
- Affiliations
- California Institute of Technology (US)
- University of Toronto (CA)
- Xanadu Quantum Technologies (Canada) (CA)
- Freie Universität Berlin (DE)
- Helmholtz-Zentrum Berlin für Materialien und Energie (DE)
- Joint Center for Quantum Information and Computer Science (US)
- University of Chicago (US)
- Universität Ulm (DE)
- Corresponding author
- Deshpande, Abhinav
- Mehta, Arthur
- Dhand, Ish
- ORCID
- Venue
- Science Advances
- Published
- 2022-01-07
- Volume
- 8
- Issue
- 1
- Pages
- eabi7894-eabi7894
- ISSN
- 2375-2548 (ISSN-L)
- PMC
- PMC8730598
- OpenAlex
- W4205363984
- Cited by
- 106
- References
- 7
- Citations by year
- 2026: 8 · 2025: 26 · 2024: 22 · 2023: 30 · 2022: 20
- FWCI
- 8.06
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by-nc
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- University of Chicago
- Funders
- European Commission
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Mitacs
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum advantage, Gaussian boson sampling, photonics, quantum simulation algorithms
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