Related papers: Maximum Geometric Quantum Entropy

Maximum Geometric Quantum Entropy

URL: http://arxiv.org/abs/2008.08679v3
Date: Wed, 13 Mar 2024 10:02:11 GMT
Title: Maximum Geometric Quantum Entropy
Authors: Fabio Anza and James P. Crutchfield
Abstract summary: We propose the Maximum Geometric Quantum Entropy Principle to exploit the notions of Information Dimension and Quantum Entropy. These allow us to quantify the entropy of fully arbitrary ensembles and select the one that maximizes it.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Any given density matrix can be represented as an infinite number of ensembles of pure states. This leads to the natural question of how to uniquely select one out of the many, apparently equally suitable, possibilities. Following Jaynes' information-theoretic perspective, this can be framed as an inference problem. We propose the Maximum Geometric Quantum Entropy Principle to exploit the notions of Quantum Information Dimension and Geometric Quantum Entropy. These allow us to quantify the entropy of fully arbitrary ensembles and select the one that maximizes it. After formulating the principle mathematically, we give the analytical solution to the maximization problem in a number of cases and discuss the physical mechanism behind the emergence of such maximum entropy ensembles.

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