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R\'enyi Entropy, Signed Probabilities, and the Qubit by Brandenburger, Adam; La Mura, Pierfrancesco; Zoble, Stuart is a scholarly article available to read on EtoBox.

What is R\'enyi Entropy, Signed Probabilities, and the Qubit about?

The states of the qubit, the basic unit of quantum information, are $2 \times 2$ 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 R\'enyi entropy (a generalization of Shannon entropy) suitably defined for the signed phase-space probability distributions that arise in representing quantum states.

Author

Brandenburger, Adam; La Mura, Pierfrancesco; Zoble, Stuart

Published

2020

Language

EN