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Finite-key security analysis for multilevel quantum key distribution

Brádler, Kamil and Mirhosseini, Mohammad and Fickler, Robert and Broadbent, Anne and Boyd, Robert (2016) Finite-key security analysis for multilevel quantum key distribution. New Journal of Physics, 18 (7). Art. No. 073030. ISSN 1367-2630. doi:10.1088/1367-2630/18/7/073030. https://resolver.caltech.edu/CaltechAUTHORS:20190708-151342075

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Abstract

We present a detailed security analysis of a d-dimensional quantum key distribution protocol based on two and three mutually unbiased bases (MUBs) both in an asymptotic and finite-key-length scenario. The finite secret key rates (in bits per detected photon) are calculated as a function of the length of the sifted key by (i) generalizing the uncertainly relation-based insight from BB84 to any d-level 2-MUB QKD protocol and (ii) by adopting recent advances in the second-order asymptotics for finite block length quantum coding (for both d-level 2- and 3-MUB QKD protocols). Since the finite and asymptotic secret key rates increase with d and the number of MUBs (together with the tolerable threshold) such QKD schemes could in principle offer an important advantage over BB84. We discuss the possibility of an experimental realization of the 3-MUB QKD protocol with the orbital angular momentum degrees of freedom of photons.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1367-2630/18/7/073030DOIArticle
https://arxiv.org/abs/1512.05447arXivDiscussion Paper
ORCID:
AuthorORCID
Boyd, Robert0000-0002-1234-2265
Additional Information:© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 31 January 2016. Accepted 27 June 2016. Published 14 July 2016. RB, RF and KB thank the Canada Excellence Research Chairs program for support. AB, RB, and KB acknowledge support from The Natural Sciences and Engineering Research Council of Canada. RB and MM acknowledge support from the US Office of Naval Research. In addition, KB thanks Patrick Coles for comments and pointers to relevant literature [24–26].
Funders:
Funding AgencyGrant Number
Canada Research Chairs ProgramUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Subject Keywords:security of quantum key distribution, finite and asymptotic secret key rates, quantum and private capacity, orbital angular momentum
Issue or Number:7
DOI:10.1088/1367-2630/18/7/073030
Record Number:CaltechAUTHORS:20190708-151342075
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190708-151342075
Official Citation:Kamil Brádler et al 2016 New J. Phys. 18 073030
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96914
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:12 Jul 2019 22:47
Last Modified:16 Nov 2021 17:24

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