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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. (2018) Performance analysis of d-dimensional quantum cryptography under state-dependent diffraction. . (Submitted)

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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 pre-compensation protocol based on pre-shaping the transverse structure of quantum states. We demonstrate, both theoretically and experimentally, that when performing QKD over a link with known, symbol-dependent loss and phase shift, the performance of QKD will be better if we intentionally increase the loss of certain symbols to make the loss and phase shift of all states same. Our results show that the pre-compensated 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:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper ItemConference Paper
Hashemi Rafsanjani, Seyed Mohammad0000-0001-7718-5654
Boyd, Robert W.0000-0002-1234-2265
Additional Information:We acknowledge helpful discussions with Boshen Gao, Cong Liu and Kai Pang. This work is supported by 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.
Funding AgencyGrant Number
Office of Naval Research (ONR)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
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:17 Jul 2019 14:36

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