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Performance analysis of d-dimensional quantum cryptography under state-dependent diffraction

Zhao, Jiapeng and Mirhosseini, Mohammad and Braverman, Boris and Zhou, Yiyu and Hashemi Rafsanjani, Seyed Mohammad and Ren, Yongxiong and Steinhoff, Nicholas K. and Tyler, Glenn A. and Willner, Alan E. and Boyd, Robert W. (2019) Performance analysis of d-dimensional quantum cryptography under state-dependent diffraction. Physical Review A, 100 (3). Art. No. 032319. ISSN 2469-9926.

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Standard protocols for quantum key distribution (QKD) require that the sender be able to transmit in two or more mutually unbiased bases. Here, we analyze the extent to which the performance of QKD is degraded by diffraction effects that become relevant for long propagation distances and limited sizes of apertures. In such a scenario, different states experience different amounts of diffraction, leading to state-dependent loss and phase acquisition, causing an increased error rate and security loophole at the receiver. To solve this problem, we propose a precompensation protocol based on preshaping the transverse structure of quantum states. We demonstrate, both theoretically and experimentally, that when performing QKD over a link with known, state-dependent loss and phase shift, the performance of QKD will be better if we intentionally increase the loss of certain states to make the loss and phase shift of all states equal. Our results show that the precompensated protocol can significantly reduce the error rate induced by state-dependent diffraction and thereby improve the secure key rate of QKD systems without sacrificing the security.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper ItemConference Paper
Zhao, Jiapeng0000-0002-7851-4648
Hashemi Rafsanjani, Seyed Mohammad0000-0001-7718-5654
Boyd, Robert W.0000-0002-1234-2265
Additional Information:© 2019 American Physical Society. Received 18 December 2018; published 13 September 2019. We acknowledge helpful discussions with B. Gao, C. Liu, and K. Pang. This work was supported by the U.S. Office of Naval Research. R.W.B. acknowledges support from Canada Research Chairs Program and the National Science and Engineering Research Council of Canada. B.B. acknowledges the support of a Banting postdoctoral fellowship.
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of OttawaUNSPECIFIED
Issue or Number:3
Classification Code:PACS numbers: 03.67.Hk, 03.67.Dd
Record Number:CaltechAUTHORS:20190716-085941770
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97162
Deposited By: Tony Diaz
Deposited On:16 Jul 2019 16:22
Last Modified:03 Oct 2019 21:28

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