Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry

High-dimensional quantum key distribution (HDQKD) offers the possibility of high secure-key rate with high photon-information efficiency. We consider HDQKD based on the time-energy entanglement produced by spontaneous parametric down-conversion and show that it is secure against collective attacks....

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Main Authors: Zhang, Zheshen, Mower, Jacob, Wong, Franco N. C., Shapiro, Jeffrey H., Englund, Dirk Robert, Wong, Franco N. C.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: American Physical Society 2014
Online Access:http://hdl.handle.net/1721.1/89019
https://orcid.org/0000-0002-5150-7800
https://orcid.org/0000-0003-1998-6159
https://orcid.org/0000-0002-6094-5861
https://orcid.org/0000-0002-8668-8162
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author Zhang, Zheshen
Mower, Jacob
Wong, Franco N. C.
Shapiro, Jeffrey H.
Englund, Dirk Robert
Wong, Franco N. C.
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Zhang, Zheshen
Mower, Jacob
Wong, Franco N. C.
Shapiro, Jeffrey H.
Englund, Dirk Robert
Wong, Franco N. C.
author_sort Zhang, Zheshen
collection MIT
description High-dimensional quantum key distribution (HDQKD) offers the possibility of high secure-key rate with high photon-information efficiency. We consider HDQKD based on the time-energy entanglement produced by spontaneous parametric down-conversion and show that it is secure against collective attacks. Its security rests upon visibility data—obtained from Franson and conjugate-Franson interferometers—that probe photon-pair frequency correlations and arrival-time correlations. From these measurements, an upper bound can be established on the eavesdropper’s Holevo information by translating the Gaussian-state security analysis for continuous-variable quantum key distribution so that it applies to our protocol. We show that visibility data from just the Franson interferometer provides a weaker, but nonetheless useful, secure-key rate lower bound. To handle multiple-pair emissions, we incorporate the decoy-state approach into our protocol. Our results show that over a 200-km transmission distance in optical fiber, time-energy entanglement HDQKD could permit a 700−bit/sec secure-key rate and a photon information efficiency of 2 secure-key bits per photon coincidence in the key-generation phase using receivers with a 15% system efficiency.
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spelling mit-1721.1/890192022-09-27T09:45:20Z Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry Zhang, Zheshen Mower, Jacob Wong, Franco N. C. Shapiro, Jeffrey H. Englund, Dirk Robert Wong, Franco N. C. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Zhang, Zheshen Mower, Jacob Englund, Dirk Robert Wong, Franco N. C. Shapiro, Jeffrey H. High-dimensional quantum key distribution (HDQKD) offers the possibility of high secure-key rate with high photon-information efficiency. We consider HDQKD based on the time-energy entanglement produced by spontaneous parametric down-conversion and show that it is secure against collective attacks. Its security rests upon visibility data—obtained from Franson and conjugate-Franson interferometers—that probe photon-pair frequency correlations and arrival-time correlations. From these measurements, an upper bound can be established on the eavesdropper’s Holevo information by translating the Gaussian-state security analysis for continuous-variable quantum key distribution so that it applies to our protocol. We show that visibility data from just the Franson interferometer provides a weaker, but nonetheless useful, secure-key rate lower bound. To handle multiple-pair emissions, we incorporate the decoy-state approach into our protocol. Our results show that over a 200-km transmission distance in optical fiber, time-energy entanglement HDQKD could permit a 700−bit/sec secure-key rate and a photon information efficiency of 2 secure-key bits per photon coincidence in the key-generation phase using receivers with a 15% system efficiency. United States. Defense Advanced Research Projects Agency. Information in a Photon Program (Army Research Office Grant W911NF-10-1-0416) 2014-08-25T15:00:27Z 2014-08-25T15:00:27Z 2014-03 2013-11 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/89019 Zhang, Zheshen, Jacob Mower, Dirk Englund, Franco N. C. Wong, and Jeffrey H. Shapiro. “Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry.” Physical Review Letters 112, no. 12 (March 2014). © 2014 American Physical Society https://orcid.org/0000-0002-5150-7800 https://orcid.org/0000-0003-1998-6159 https://orcid.org/0000-0002-6094-5861 https://orcid.org/0000-0002-8668-8162 en_US http://dx.doi.org/10.1103/PhysRevLett.112.120506 Physical Review Letters 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 American Physical Society
spellingShingle Zhang, Zheshen
Mower, Jacob
Wong, Franco N. C.
Shapiro, Jeffrey H.
Englund, Dirk Robert
Wong, Franco N. C.
Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title_full Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title_fullStr Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title_full_unstemmed Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title_short Unconditional Security of Time-Energy Entanglement Quantum Key Distribution Using Dual-Basis Interferometry
title_sort unconditional security of time energy entanglement quantum key distribution using dual basis interferometry
url http://hdl.handle.net/1721.1/89019
https://orcid.org/0000-0002-5150-7800
https://orcid.org/0000-0003-1998-6159
https://orcid.org/0000-0002-6094-5861
https://orcid.org/0000-0002-8668-8162
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