Programmable coherent linear quantum operations with high-dimensional optical spatial modes

Li, S., Zhang, S., Feng, X., Barnett, S. M. , Zhang, W., Cui, K., Liu, F. and Huang, Y. (2020) Programmable coherent linear quantum operations with high-dimensional optical spatial modes. Physical Review Applied, 14(2), 024027. (doi: 10.1103/PhysRevApplied.14.024027)

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Abstract

A simple and flexible scheme for high-dimensional linear quantum operations is demonstrated on optical discrete spatial modes in the transverse plane. The quantum state tomography (QST) via symmetric informationally complete positive operator-valued measures (SIC POVMs) and quantum Fourier transformation (QFT) are implemented with dimensionality of 15. The statistical fidelity of SIC POVMs and fidelity of QST are $$0.97 and up to 0.853, respectively, while the matrix fidelity of QFT is 0.85. We believe that our approach has the potential for further exploration of high-dimensional spatial entanglement provided by spontaneous parametric down conversion in nonlinear crystals.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen
Authors: Li, S., Zhang, S., Feng, X., Barnett, S. M., Zhang, W., Cui, K., Liu, F., and Huang, Y.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review Applied
Publisher:American Physical Society
ISSN:2331-7019
ISSN (Online):2331-7019
Published Online:12 August 2020
Copyright Holders:Copyright © 2020 American Physical Society
First Published:First published in Physical Review Applied 14(2):024027
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
173378Astronomy and physics, theoretical physics and application physics / Quantum Theory. Royal Society Research Professorship.Stephen BarnettThe Royal Society (ROYSOC)RP150122P&S - Physics & Astronomy
301592Foundations and Applications of Optical Forces - Enhancement awardStephen BarnettThe Royal Society (ROYSOC)RP\EA\180010P&S - Physics & Astronomy