4 papers · 1 filter
Natural Qubit Algebra: clarification of the Clifford boundary and new non-embeddability theorem
Grigory Koroteev
We introduce Natural Qubit Algebra (NQA), a compact real operator calculus for qubit systems based on a block alphabet and…
Real Matrix Representations of Quantum Operators: An Introduction to Quantum Index Algebra
A. Yu. Volkov, G. A. Koroteev, Yu. S. Volkov
We introduce Quantum Index Algebra (QIA) as a finite, index-based algebraic framework for representing and manipulating quantum operators on Hilbert spaces of dimension . In Q…
Bell, Spinors, and the Impossibility of a Classical Spin-Vector Model
G. A. Koroteev
We revisit the Bell--CHSH scenario for two spin-\(\tfrac{1}{2}\) particles and isolate the precise algebraic origin of the Bell contradiction. On the quantum side, spin-\(\tfrac{1}…
Quasi-van Hove singularities informed approach improving DOS/pDOS predictions in GNN
Grigory Koroteev
In this paper, we introduce an extension of the concept of Van Hoff singularities in order to explicitly use them in machine learning methods of models as a priori information. The…