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- Title
Reformulating the Quantum Uncertainty Relation through Geometric Illustrations.
- Authors
Xu, Hao; Shi, Mengjie; Li, Shuijing
- Abstract
The uncertainty principle stands as a fundamental tenet within the realm of quantum theory. In this study, we embark on a reexamination of an emerging variant of the uncertainty relation within both pure and mixed quantum systems, leveraging a geometric elucidation. Subsequently, an enhancement to this relation is achieved by the incorporation of a surface angle denoted as θ , thereby transforming it from an inequality into an equation. Notably, this surface angle encapsulates the dynamics inherent in quantum state transitions. Complementing our analysis, a series of calculations are conducted, yielding results that offer an intuitive elucidation of the uncertainty relation across distinct quantum states. Consequently, this method bears significance as a pivotal visual insight within the domain of quantum information and measurement.
- Subjects
HEISENBERG uncertainty principle; QUANTUM measurement; QUANTUM transitions; QUANTUM theory; QUANTUM states
- Publication
Advances in High Energy Physics, 2023, p1
- ISSN
1687-7357
- Publication type
Article
- DOI
10.1155/2023/6703001