Using an imperfect photonic network to implement random unitaries
Using an imperfect photonic network to implement random unitaries
Boson Sampling has emerged as a tool to explore the advantages of quantum over classical computers as it does not require a universal control over the quantum system, which favours current photonic experimental platforms.Here, we introduce Gaussian Boson Sampling, a classically hard-to-solve problem that uses squeezed states as a non-classical resource. We relate the probability to measure specific photon patterns from a general Gaussian state in the Fock basis to a matrix function called the hafnian, which answers the last remaining question of sampling from Gaussian states. Based on this result, we design Gaussian Boson Sampling, a #P hard problem, using squeezed states. This approach leads to a more efficient photonic boson sampler with significant advantages in generation probability and measurement time over currently existing protocols.
28236-28245
Burgwal, Roel
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Clements, William R.
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Smith, Devin H.
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Gates, James C.
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Kolthammer, W. Steven
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Renema, Jelmer J.
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Walmsley, Ian A.
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31 October 2017
Burgwal, Roel
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Clements, William R.
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Smith, Devin H.
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Gates, James C.
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Kolthammer, W. Steven
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Renema, Jelmer J.
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Walmsley, Ian A.
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Burgwal, Roel, Clements, William R., Smith, Devin H., Gates, James C., Kolthammer, W. Steven, Renema, Jelmer J. and Walmsley, Ian A.
(2017)
Using an imperfect photonic network to implement random unitaries.
Optics Express, 25 (23), .
(doi:10.1364/oe.25.028236).
Abstract
Boson Sampling has emerged as a tool to explore the advantages of quantum over classical computers as it does not require a universal control over the quantum system, which favours current photonic experimental platforms.Here, we introduce Gaussian Boson Sampling, a classically hard-to-solve problem that uses squeezed states as a non-classical resource. We relate the probability to measure specific photon patterns from a general Gaussian state in the Fock basis to a matrix function called the hafnian, which answers the last remaining question of sampling from Gaussian states. Based on this result, we design Gaussian Boson Sampling, a #P hard problem, using squeezed states. This approach leads to a more efficient photonic boson sampler with significant advantages in generation probability and measurement time over currently existing protocols.
Text
oe-25-23-28236
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Accepted/In Press date: 18 July 2017
Published date: 31 October 2017
Identifiers
Local EPrints ID: 430502
URI: http://eprints.soton.ac.uk/id/eprint/430502
ISSN: 1094-4087
PURE UUID: 7c00a03d-a2b3-44fa-bfd3-f791c4756b0a
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Date deposited: 02 May 2019 16:30
Last modified: 16 Mar 2024 03:18
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Contributors
Author:
Roel Burgwal
Author:
William R. Clements
Author:
Devin H. Smith
Author:
W. Steven Kolthammer
Author:
Jelmer J. Renema
Author:
Ian A. Walmsley
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