Aguero, JMCalude, CS2023-01-242023-01-242022CDMTCS Research Reports CDMTCS-563 (2022)1178-3540https://hdl.handle.net/2292/62557We construct a class of 3-dimensional photonic quantum random number generators and prove that each generates maximally unpredictable digits via measurements that are robust to errors. In particular, every sequence generated is strongly incomputable; hence its quality is provable better than that of every pseudo-random sequence. We also briefly contrast 2-dimensional and 3-dimensional quantum random number generators, discuss photonic implementations and show the superiority of the latter ones. These results suggest that incomputability in physics is real and practically useful.Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmTechnical ReportFields of ResearchCopyright: The author(s)http://purl.org/eprint/accessRights/OpenAccess