Maximum Likelihood Estimators of Quantum Probabilities

Mirko Navara; Jan Ševic

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arXiv · 2401.11253

Maximum Likelihood Estimators of Quantum Probabilities

Mirko Navara·Jan Ševic

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Abstract

Classical probability theory is based on assumptions which are often violated in practice. Therefore quantum probability is a proposed alternative not only in quantum physics, but also in other sciences. However, so far it mostly criticizes the classical approach, but does not suggest a working alternative. Maximum likelihood estimators were given very low attention in this context. We show that they can be correctly defined and their computation in closed form is feasible at least in some cases.

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Mirko Navara, Jan Ševic. 2024-01-20. Maximum Likelihood Estimators of Quantum Probabilities. https://arxiv.org/abs/2401.11253

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