TY  - JOUR
U1  - Wissenschaftlicher Artikel
A1  - Brandenburger, Adam
A1  - La Mura, Pierfrancesco
A1  - Zoble, Stuart
T1  - Rényi entropy, signed probabilities, and the qubit
JF  - Entropy : an international and interdisciplinary journal of entropy and information studies
N2  - The states of the qubit, the basic unit of quantum information, are 2×2 positive semi-definite Hermitian matrices with trace 1. We contribute to the program to axiomatize quantum mechanics by characterizing these states in terms of an entropic uncertainty principle formulated on an eight-point phase space. We do this by employing Rényi entropy (a generalization of Shannon entropy) suitably defined for the signed phase-space probability distributions that arise in representing quantum states.
KW  - Rényi entropy
KW  - Signed probability
KW  - Uncertainty principle
KW  - Quibit
Y1  - 2022
SN  - 1099-4300
SS  - 1099-4300
U6  - https://doi.org/10.3390/e24101412
DO  - https://doi.org/10.3390/e24101412
N1  - This article belongs to the special issue "Rényi entropy : sixty years later" (2022)
VL  - 24
IS  - 10
ER  -