Direct dialling of Haar random unitary matrices
Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics. We describe an operationally simple method to directly implement Haar random unitary matrices in optical circuits, with...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2017-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa60ed |
| _version_ | 1797750804624441344 |
|---|---|
| author | Nicholas J Russell Levon Chakhmakhchyan Jeremy L O’Brien Anthony Laing |
| author_facet | Nicholas J Russell Levon Chakhmakhchyan Jeremy L O’Brien Anthony Laing |
| author_sort | Nicholas J Russell |
| collection | DOAJ |
| description | Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics. We describe an operationally simple method to directly implement Haar random unitary matrices in optical circuits, with no requirement for prior or explicit matrix calculations. Our physically motivated and compact representation directly maps independent probability density functions for parameters in Haar random unitary matrices, to optical circuit components. We go on to extend the results to the case of random unitaries for qubits. |
| first_indexed | 2024-03-12T16:38:09Z |
| format | Article |
| id | doaj.art-142560739880478caa4cf26b736215d8 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:38:09Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-142560739880478caa4cf26b736215d82023-08-08T14:37:01ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119303300710.1088/1367-2630/aa60edDirect dialling of Haar random unitary matricesNicholas J Russell0Levon Chakhmakhchyan1Jeremy L O’Brien2Anthony Laing3Centre for Quantum Photonics, H. H. Wills Physics Laboratory & Department of Electrical and Electronic Engineering, University of Bristol , BS8 1UB, United KingdomCentre for Quantum Information and Communication, Ecole polytechnique de Bruxelles, CP 165, Université libre de Bruxelles , B-1050 Brussels, BelgiumCentre for Quantum Photonics, H. H. Wills Physics Laboratory & Department of Electrical and Electronic Engineering, University of Bristol , BS8 1UB, United KingdomCentre for Quantum Photonics, H. H. Wills Physics Laboratory & Department of Electrical and Electronic Engineering, University of Bristol , BS8 1UB, United KingdomRandom unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics. We describe an operationally simple method to directly implement Haar random unitary matrices in optical circuits, with no requirement for prior or explicit matrix calculations. Our physically motivated and compact representation directly maps independent probability density functions for parameters in Haar random unitary matrices, to optical circuit components. We go on to extend the results to the case of random unitaries for qubits.https://doi.org/10.1088/1367-2630/aa60edoptical circuitsintegrated opticsHaar random unitary matricesboson sampling |
| spellingShingle | Nicholas J Russell Levon Chakhmakhchyan Jeremy L O’Brien Anthony Laing Direct dialling of Haar random unitary matrices New Journal of Physics optical circuits integrated optics Haar random unitary matrices boson sampling |
| title | Direct dialling of Haar random unitary matrices |
| title_full | Direct dialling of Haar random unitary matrices |
| title_fullStr | Direct dialling of Haar random unitary matrices |
| title_full_unstemmed | Direct dialling of Haar random unitary matrices |
| title_short | Direct dialling of Haar random unitary matrices |
| title_sort | direct dialling of haar random unitary matrices |
| topic | optical circuits integrated optics Haar random unitary matrices boson sampling |
| url | https://doi.org/10.1088/1367-2630/aa60ed |
| work_keys_str_mv | AT nicholasjrussell directdiallingofhaarrandomunitarymatrices AT levonchakhmakhchyan directdiallingofhaarrandomunitarymatrices AT jeremylobrien directdiallingofhaarrandomunitarymatrices AT anthonylaing directdiallingofhaarrandomunitarymatrices |