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Using an imperfect photonic network to implement random unitaries

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.
1094-4087
28236-28245
Burgwal, Roel
64b5fbe6-56ba-46fd-963a-7409d3cf9738
Clements, William R.
17c2e5f5-e8e2-443e-b2e1-8288f137bc16
Smith, Devin H.
49156a41-41f1-4f1b-8ce3-ef6f894e190c
Gates, James C.
b71e31a1-8caa-477e-8556-b64f6cae0dc2
Kolthammer, W. Steven
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Renema, Jelmer J.
70d55996-039b-4ec1-87f5-f3a7881cb92e
Walmsley, Ian A.
a9b02ef9-f5d9-473f-ac01-bbbe06d28170
Burgwal, Roel
64b5fbe6-56ba-46fd-963a-7409d3cf9738
Clements, William R.
17c2e5f5-e8e2-443e-b2e1-8288f137bc16
Smith, Devin H.
49156a41-41f1-4f1b-8ce3-ef6f894e190c
Gates, James C.
b71e31a1-8caa-477e-8556-b64f6cae0dc2
Kolthammer, W. Steven
e6a1f703-4227-4afc-8c5f-41afc7f69009
Renema, Jelmer J.
70d55996-039b-4ec1-87f5-f3a7881cb92e
Walmsley, Ian A.
a9b02ef9-f5d9-473f-ac01-bbbe06d28170

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), 28236-28245. (doi:10.1364/oe.25.028236).

Record type: Article

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.

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Accepted/In Press date: 18 July 2017
Published date: 31 October 2017

Identifiers

Local EPrints ID: 430502
URI: https://eprints.soton.ac.uk/id/eprint/430502
ISSN: 1094-4087
PURE UUID: 7c00a03d-a2b3-44fa-bfd3-f791c4756b0a
ORCID for James C. Gates: ORCID iD orcid.org/0000-0001-8671-5987

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Date deposited: 02 May 2019 16:30
Last modified: 25 Oct 2019 00:37

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Contributors

Author: Roel Burgwal
Author: William R. Clements
Author: Devin H. Smith
Author: James C. Gates ORCID iD
Author: W. Steven Kolthammer
Author: Jelmer J. Renema
Author: Ian A. Walmsley

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