Integrated Optics Modules Based Proposal for Quantum Information Processing, Teleportation, QKD, and Quantum Error Correction Employing Photon Angular Momentum

Persistent Link:
http://hdl.handle.net/10150/615122
Title:
Integrated Optics Modules Based Proposal for Quantum Information Processing, Teleportation, QKD, and Quantum Error Correction Employing Photon Angular Momentum
Author:
Djordjevic, Ivan B.
Affiliation:
Univ Arizona, Dept Elect & Comp Engn; Univ Arizona, Coll Opt Sci
Issue Date:
2016-02
Publisher:
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation:
Integrated Optics Modules Based Proposal for Quantum Information Processing, Teleportation, QKD, and Quantum Error Correction Employing Photon Angular Momentum 2016, 8 (1):1 IEEE Photonics Journal
Journal:
IEEE Photonics Journal
Rights:
© 2016 IEEE
Collection Information:
This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
Abstract:
To address key challenges for both quantum communication and quantum computing applications in a simultaneous manner, we propose to employ the photon angular momentum approach by invoking the well-known fact that photons carry both the spin angular momentum (SAM) and the orbital angular momentum (OAM). SAM is associated with polarization, while OAM is associated with azimuthal phase dependence of the complex electric field. Given that OAM eigenstates are mutually orthogonal, in principle, an arbitrary number of bits per single photon can be transmitted. The ability to generate/analyze states with different photon angular momentum, by using either holographic or interferometric methods, allows the realization of quantum states in multidimensional Hilbert space. Because OAM states provide an infinite basis state, while SAM states are 2-D only, the OAM can also be used to increase the security for quantum key distribution (QKD) applications and improve computational power for quantum computing applications. The goal of this paper is to describe photon angular momentum based deterministic universal quantum qudit gates, namely, {generalized-X, generalized-Z, generalized-CNOT} qudit gates, and different quantum modules of importance for various applications, including (fault-tolerant) quantum computing, teleportation, QKD, and quantum error correction. For instance, the basic quantum modules for quantum teleportation applications include the generalized-Bell-state generation module and the QFT-module. The basic quantum module for quantum error correction and fault-tolerant computing is the nonbinary syndrome calculator module. The basic module for entanglement assisted QKD is either the generalized-Bell-state generation module or the Weyl-operator-module. The possibility of implementing all these modules in integrated optics is discussed as well. Finally, we provide security analysis of entanglement assisted multidimensional QKD protocols, employing the proposed qudit modules, by taking into account the imperfect generation of OAM modes.
Note:
Open access.
ISSN:
1943-0655
DOI:
10.1109/JPHOT.2016.2522097
Keywords:
Quantum information processing; quantum qudit gates; quantum key distribution (QKD); orbital angular momentum (OAM); spin angular momentum (SAM); quantum error correction
Version:
Final published version
Sponsors:
This work was supported in part by the Office of Naval Research Multidisciplinary University Research Initiative project. Corresponding author: I. B. Djordjevic (e-mail: ivan@email.arizona.edu).
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7393447

Full metadata record

DC FieldValue Language
dc.contributor.authorDjordjevic, Ivan B.en
dc.date.accessioned2016-06-30T01:38:26Z-
dc.date.available2016-06-30T01:38:26Z-
dc.date.issued2016-02-
dc.identifier.citationIntegrated Optics Modules Based Proposal for Quantum Information Processing, Teleportation, QKD, and Quantum Error Correction Employing Photon Angular Momentum 2016, 8 (1):1 IEEE Photonics Journalen
dc.identifier.issn1943-0655-
dc.identifier.doi10.1109/JPHOT.2016.2522097-
dc.identifier.urihttp://hdl.handle.net/10150/615122-
dc.description.abstractTo address key challenges for both quantum communication and quantum computing applications in a simultaneous manner, we propose to employ the photon angular momentum approach by invoking the well-known fact that photons carry both the spin angular momentum (SAM) and the orbital angular momentum (OAM). SAM is associated with polarization, while OAM is associated with azimuthal phase dependence of the complex electric field. Given that OAM eigenstates are mutually orthogonal, in principle, an arbitrary number of bits per single photon can be transmitted. The ability to generate/analyze states with different photon angular momentum, by using either holographic or interferometric methods, allows the realization of quantum states in multidimensional Hilbert space. Because OAM states provide an infinite basis state, while SAM states are 2-D only, the OAM can also be used to increase the security for quantum key distribution (QKD) applications and improve computational power for quantum computing applications. The goal of this paper is to describe photon angular momentum based deterministic universal quantum qudit gates, namely, {generalized-X, generalized-Z, generalized-CNOT} qudit gates, and different quantum modules of importance for various applications, including (fault-tolerant) quantum computing, teleportation, QKD, and quantum error correction. For instance, the basic quantum modules for quantum teleportation applications include the generalized-Bell-state generation module and the QFT-module. The basic quantum module for quantum error correction and fault-tolerant computing is the nonbinary syndrome calculator module. The basic module for entanglement assisted QKD is either the generalized-Bell-state generation module or the Weyl-operator-module. The possibility of implementing all these modules in integrated optics is discussed as well. Finally, we provide security analysis of entanglement assisted multidimensional QKD protocols, employing the proposed qudit modules, by taking into account the imperfect generation of OAM modes.en
dc.description.sponsorshipThis work was supported in part by the Office of Naval Research Multidisciplinary University Research Initiative project. Corresponding author: I. B. Djordjevic (e-mail: ivan@email.arizona.edu).en
dc.language.isoenen
dc.publisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INCen
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7393447en
dc.rights© 2016 IEEEen
dc.subjectQuantum information processingen
dc.subjectquantum qudit gatesen
dc.subjectquantum key distribution (QKD)en
dc.subjectorbital angular momentum (OAM)en
dc.subjectspin angular momentum (SAM)en
dc.subjectquantum error correctionen
dc.titleIntegrated Optics Modules Based Proposal for Quantum Information Processing, Teleportation, QKD, and Quantum Error Correction Employing Photon Angular Momentumen
dc.typeArticleen
dc.contributor.departmentUniv Arizona, Dept Elect & Comp Engnen
dc.contributor.departmentUniv Arizona, Coll Opt Scien
dc.identifier.journalIEEE Photonics Journalen
dc.description.noteOpen access.en
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en
dc.eprint.versionFinal published versionen
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