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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9602278 | PMC |
| http://dx.doi.org/10.3390/e24101412 | DOI Listing |
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