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- Article name
- SET-THEORETIC BASES OF A NEW MODEL OF COMPUTING - A QUANTUM GENERATOR TESTS
- Authors
- Pravilshchikov P. A., , pavelp@ipu.ru, Federal State Government-financed Scientific Establishment "Institute of Control Sciences named after V. A. Trapeznikov of RAS, Moscow, Russia
- Keywords
- quantum computers / quantum accelerator / quantum register / qubits / qutrits / quakwadrites / qudits / D-calculus / the operation of the intersection and difference of sets
- Year
- 2017 Issue 3 Pages 20 - 28
- Code EDN
- Code DOI
- Abstract
- Adduced a set-theoretic substantiation of the intersection of the cubes (Cq ∩ Cg) in the framework of matrix calculus of cubic complexes (MD-calculus). Shown set-theoretic basis of elementary operation of intersection - operation αj. It is emphasized that the operation αj is a major operation and classical, and matrix D-calculus and also classical and quantum D algorithms. In quantum D-algorithm (QD algorithm), which adjusted to a new model of computing as a quantum generator of test cases (QTG), operations αj are performed by quantum gate, that implements the new block-diagonal matrix Rota.
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