Tight finite-key analysis for generalized high-dimensional quantum key distribution

Due to the capability of tolerating high error rate and generating more key bits per trial, high-dimensional quantum distribution attracts wide interest. Despite great progresses in distribution, there are still some gaps between theory experiment. One these is that security secret heavily depends on number emitted signals. So far, existing proofs only suitable case with an infinite or unpractically large Here, by introducing idea “key classification” developing relevant techniques based uncertainty relation for smooth entropies, we propose a tight finite-key analysis generalized protocols. Benefitting from our theory, protocols finite resources become experimentally feasible.Received 31 August 2020Accepted 23 March 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.023019Published American Physical Society under terms Creative Commons Attribution 4.0 International license. Further this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasQuantum communicationQuantum cryptographyQuantum Information