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Mathematical Modelling of Quantum Information Systems Using Operator Algebra Techniques

International Journal of Mathematical Analysis and Research
Quantum information theory has become a central area in the two fields of quantum mechanics and information science. The focus of this work is mathematical modelling of quantum information with the use of operator algebras, in a way that accentuates the modelling, and acting or manipulation of observables and quantum states.
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Operator Algebras on Non-Separable Banach Spaces and Applications in Mathematical Physics

Thermodynamics Research: Open Access
This paper develops a structural and functional framework for operator algebras acting on nonseparable Banach spaces (NSBS). While classical operator algebras—such as 𝐶∗ - and 𝑊∗ -algebras—are traditionally constructed on separable Hilbert spaces, many physical and mathematical contexts require non-separable or even transfinite structures: quantum ...
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The evolution operator of evolution algebras

Linear and Multilinear Algebra, 2022
Juan Núñez-Valdés   +1 more
exaly  

Design-theoretic analogies between codes, lattices, and vertex operator algebras

Designs, Codes, and Cryptography, 2021
Tsuyoshi Miezaki
exaly  

Operator Algebras and Mathematical Physics

Advanced Studies in Pure Mathematics, 2019
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Recognitive Consciousness: A Mathematical Theory of Consciousness Based on Operator-Algebraic Recognition

Recognitive Consciousness (RC) is a mathematically grounded, empirically testable, and substrate-independent theory of consciousness based on operator-algebraic recognition. RC defines consciousness as the structural capacity for recognition, formalized as an Ω-preserving conditional expectation between perspectives.
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Relative operator entropies and Tsallis relative operator entropies in JB-algebras

Rocky Mountain Journal of Mathematics, 2022
Shuzhou Wang
exaly  

Categorical Structure of Closure Operators with Applications to Topology, Algebra and Mathematics and its Applications,

1995
Offers an extensive investigation of the theory of closure operators in different areas of mathematics, including (but not limited to) algebra, topology, combinatorics, etc. The closure operators are used to describe relevant concepts and properties as epimorphisms, injectivity, compactness, (dis)connectedness, torsion theories, factoriaztion systems ...
DIKRANJAN, Dikran, THOLEN W.
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