Implementing one-photon three-qubit quantum gates using spatial light modulators

Increasing the information-carrying capacity of a single photon may be achieved by utilizing multiple degrees of freedom. We describe here an approach that utilizes two degrees of freedom to encode three qubits per photon: one in polarization and two in the spatial-parity symmetry of the transverse...

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Main Authors: Teich, Malvin Carl, Abouraddy, Ayman F., Giuseppe, G. Di, Yarnall, Timothy M., Saleh, B. E. A.
Other Authors: Lincoln Laboratory
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/75730
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author Teich, Malvin Carl
Abouraddy, Ayman F.
Giuseppe, G. Di
Yarnall, Timothy M.
Saleh, B. E. A.
author2 Lincoln Laboratory
author_facet Lincoln Laboratory
Teich, Malvin Carl
Abouraddy, Ayman F.
Giuseppe, G. Di
Yarnall, Timothy M.
Saleh, B. E. A.
author_sort Teich, Malvin Carl
collection MIT
description Increasing the information-carrying capacity of a single photon may be achieved by utilizing multiple degrees of freedom. We describe here an approach that utilizes two degrees of freedom to encode three qubits per photon: one in polarization and two in the spatial-parity symmetry of the transverse field. In this conception, a polarization-sensitive spatial light modulator corresponds to a three-qubit controlled-unitary gate with one control qubit (polarization) and two target (spatial-parity-symmetry) qubits. We describe the construction of controlled-not (cnot), [superscript n]\ cnot, controlled-phase, and Fredkin gates, and the preparation of one-photon, three-qubit Greenberger-Horne-Zeilinger (GHZ) and W states. This approach enables simple optical implementations of few-qubit tasks in quantum information processing.
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spelling mit-1721.1/757302022-09-26T11:02:11Z Implementing one-photon three-qubit quantum gates using spatial light modulators Teich, Malvin Carl Abouraddy, Ayman F. Giuseppe, G. Di Yarnall, Timothy M. Saleh, B. E. A. Lincoln Laboratory Yarnall, Timothy M. Abouraddy, Ayman F. Increasing the information-carrying capacity of a single photon may be achieved by utilizing multiple degrees of freedom. We describe here an approach that utilizes two degrees of freedom to encode three qubits per photon: one in polarization and two in the spatial-parity symmetry of the transverse field. In this conception, a polarization-sensitive spatial light modulator corresponds to a three-qubit controlled-unitary gate with one control qubit (polarization) and two target (spatial-parity-symmetry) qubits. We describe the construction of controlled-not (cnot), [superscript n]\ cnot, controlled-phase, and Fredkin gates, and the preparation of one-photon, three-qubit Greenberger-Horne-Zeilinger (GHZ) and W states. This approach enables simple optical implementations of few-qubit tasks in quantum information processing. 2012-12-13T21:47:38Z 2012-12-13T21:47:38Z 2012-11 2012-07 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/75730 Abouraddy, A. et al. “Implementing One-photon Three-qubit Quantum Gates Using Spatial Light Modulators.” Physical Review A 86.5 (2012). ©2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.86.050303 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Teich, Malvin Carl
Abouraddy, Ayman F.
Giuseppe, G. Di
Yarnall, Timothy M.
Saleh, B. E. A.
Implementing one-photon three-qubit quantum gates using spatial light modulators
title Implementing one-photon three-qubit quantum gates using spatial light modulators
title_full Implementing one-photon three-qubit quantum gates using spatial light modulators
title_fullStr Implementing one-photon three-qubit quantum gates using spatial light modulators
title_full_unstemmed Implementing one-photon three-qubit quantum gates using spatial light modulators
title_short Implementing one-photon three-qubit quantum gates using spatial light modulators
title_sort implementing one photon three qubit quantum gates using spatial light modulators
url http://hdl.handle.net/1721.1/75730
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