Programmable holographic technique for implementing unitary and nonunitary transformations

Wang, Y., Potoček, V., Barnett, S. M. and Feng, X. (2017) Programmable holographic technique for implementing unitary and nonunitary transformations. Physical Review A: Atomic, Molecular and Optical Physics, 95(3), 033827. (doi: 10.1103/PhysRevA.95.033827)

[img]
Preview
Text
213339.pdf - Published Version
Available under License Creative Commons Attribution.

1MB

Abstract

Beyond the possibilities of linear transformations in polarization space, whose dimensionality is constrained by limited orthogonal states, we propose a technique for implementing both unitary and nonunitary transformations with higher dimensionality. Any high-dimensional matrix can be decomposed into a product of two processes realizable by utilizing spatial phase modulation and free-space propagation, in a simple, fixed, and scalable setup. Given that perfect power transmission for an arbitrary matrix may not be possible, the method is optimized to reach the theoretical best. Projected applications of the method described here include a means of restricting the infinite-dimensional Hilbert space to a finite-dimensional basis for information processing purposes, simultaneous multichannel optical routing, and a method of optical orbital angular momentum sorting and generation.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Potocek, Dr Vaclav and Barnett, Professor Stephen
Authors: Wang, Y., Potoček, V., Barnett, S. M., and Feng, X.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622
Published Online:22 March 2017
Copyright Holders:Copyright © 2017 American Physical Society
First Published:First published in Physical Review A: Atomic, Molecular and Optical Physics 95(3): 033827
Publisher Policy:Reproduced under a Creative Commons License

University Staff: Request a correction | Enlighten Editors: Update this record