TY - JOUR
T1 - Quantum preparation uncertainty and lack of information
AU - Rozpedek, Filip
AU - Kaniewski, Jȩdrzej
AU - Coles, Patrick J.
AU - Wehner, Stephanie
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - guessing probability
KW - measurement uncertainty
KW - quantum foundations
KW - quantum guessing game
KW - quantum information
KW - uncertainty principle
UR - http://www.scopus.com/inward/record.url?scp=85014399603&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid:0895abb6-55ea-4c40-b494-cd89687a76e0
U2 - 10.1088/1367-2630/aa5d64
DO - 10.1088/1367-2630/aa5d64
M3 - Article
AN - SCOPUS:85014399603
SN - 1367-2630
VL - 19
SP - 1
EP - 23
JO - New Journal of Physics
JF - New Journal of Physics
IS - 2
M1 - 023038
ER -