Uncertainty of Quantum States

Fuente: arXiv
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Autor principal: Gudder, Stan
Formato: Preprint
Publicado: 2024
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author Gudder, Stan
author_facet Gudder, Stan
contents The uncertainty of a quantum state is given by the composition of two components. The first is called the quantum component and is given by the probability distribution of an observable relative to the state. The second is the classical component which is an uncertainty function that is applied to the first component. We characterize uncertainty functions in terms of four axioms. We then study four examples called variance, entropy, geometric and sine uncertainty functions. The final section presents the general theory of state uncertainty.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04037
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Uncertainty of Quantum States
Gudder, Stan
Quantum Physics
The uncertainty of a quantum state is given by the composition of two components. The first is called the quantum component and is given by the probability distribution of an observable relative to the state. The second is the classical component which is an uncertainty function that is applied to the first component. We characterize uncertainty functions in terms of four axioms. We then study four examples called variance, entropy, geometric and sine uncertainty functions. The final section presents the general theory of state uncertainty.
title Uncertainty of Quantum States
topic Quantum Physics
url https://arxiv.org/abs/2408.04037