Print Email Facebook Twitter Quantum preparation uncertainty and lack of information Title Quantum preparation uncertainty and lack of information Author Rozpedek, F.D. (TU Delft QID/Wehner Group; TU Delft QuTech Advanced Research Centre) Kaniewski, J. (TU Delft QuTech Advanced Research Centre; National University of Singapore; University of Copenhagen) Coles, Patrick J. (University of Waterloo) Wehner, S.D.C. (TU Delft Quantum Internet Division; TU Delft Quantum Information and Software; TU Delft QuTech Advanced Research Centre) Department Quantum Internet Division Date 2017 Abstract The quantum uncertainty principle famously predicts that there exist measurements that are inherently incompatible, in the sense that their outcomes cannot be predicted simultaneously. In contrast, no such uncertainty exists in the classical domain, where all uncertainty results from ignorance about the exact state of the physical system. Here, we critically examine the concept of preparation uncertainty and ask whether similarly in the quantum regime, some of the uncertainty that we observe can actually also be understood as a lack of information (LOI), albeit a lack of quantum information. We answer this question affirmatively by showing that for the well known measurements employed in BB84 quantum key distribution (Bennett and Brassard 1984 Int. Conf. on Computer System and Signal Processing), the amount of uncertainty can indeed be related to the amount of available information about additional registers determining the choice of the measurement. We proceed to show that also for other measurements the amount of uncertainty is in part connected to a LOI. Finally, we discuss the conceptual implications of our observation to the security of cryptographic protocols that make use of BB84 states. Subject guessing probabilitymeasurement uncertaintyquantum foundationsquantum guessing gamequantum informationuncertainty principle To reference this document use: http://resolver.tudelft.nl/uuid:0895abb6-55ea-4c40-b494-cd89687a76e0 DOI https://doi.org/10.1088/1367-2630/aa5d64 ISSN 1367-2630 Source New Journal of Physics, 19 (2), 1-23 Part of collection Institutional Repository Document type journal article Rights © 2017 F.D. Rozpedek, J. Kaniewski, Patrick J. Coles, S.D.C. Wehner Files PDF pdf.pdf 1.58 MB Close viewer /islandora/object/uuid:0895abb6-55ea-4c40-b494-cd89687a76e0/datastream/OBJ/view