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2019 | 28 | 1 | 157-171
Article title

Ultraproduct for Quantum Structures

Content
Title variants
Languages of publication
EN
Abstracts
EN
Quantum Kripke frames are certain quantum structures recently introduced by Zhong. He has defined certain properties such as Existence of Approximation and Superposition for these structures. In this paper, we define the ultraproduct for the family of quantum Kripke frames and show that the aforementioned properties are invariant under ultraproduct. In this way we prove that the ultraproduct of each family of quantum Kripke frames is also a quantum Kripke frame. We also show the same results for other related quantum structures.
Year
Volume
28
Issue
1
Pages
157-171
Physical description
Dates
published
2019-03-15
Contributors
  • Department of Mathematics Shahid Beheshti University G.C., Evin, Tehran, Iran , ezmoniri@gmail.com
References
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  • Piron, C., Foundations of Quantum Physics, W.A. Benjamin Inc., 1976.
  • Zhong, Sh., Orthogonality and Quantum Geometry, Towards a Relational Reconstruction of Quantum Theory, ILLC Dissertation Series, 2015.
  • Zhong, Sh., “Correspondence between Kripke frames and projective geometries”, Studia Logica 106, 1 (2018): 167–190. DOI: 10.1007/s11225-017-9733-0
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-a5551ca7-08bf-4030-abf1-0358913d0044
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