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Quantum Register Algebra: the mathematical language for quantum computing
We present Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present Geometric Algebra Algorithms Optimizer (GAALOP) imp...
Physical sciences
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Quantum Register Algebra: The Basic Concepts
We introduce Quantum Register Algebra (QRA) as an efficient tool for quantum computing. We show the direct link between QRA and Dirac formalism. We present GAALOP (Geometric Algebra Algorithms Optimizer) i...
Computer and information sciences
- 2024 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Quantization of two- and three-player cooperative games based on QRA
of Clifford algebra is used to perform necessary computations. In particular, we use a direct analogy between Dirac formalism and Quantum Register Algebra (QRA quantum probabilities is employed to distrib...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Quantum computing based on quantum bit algebra QGA
We describe quantum bit algebra (QBA) as an algebra for quantum formalism. We represent the qubits as vectors in QBA and the gates as conjugations. We describe the algebra of their infinitesimal isomorphis...
Applied mathematics
- 2020 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Quantum L Algebras and the Homological Perturbation Lemma
Quantum L algebras are a generalization of L algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model of a given quantum L algebra via the homol...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Quantum Structures and Operator Algebras
Relationship between quantum structures and operator algebras is investigated. In particular, basic principles of operator noncommutative measure theory are treated....
BA - Obecná matematika
- 2007 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Algebraic Methods in Quantum Informatics
Article describes algebraic methods used in quantum informatics.
IN - Informatika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
The Diamond Lemma and the PBW Property in Quantum Algebras
The use of the diamond lemma for proving various facts about the center of the algebra U'q(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras and superalgebras....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Central dependencies in quantum algebras
Structure of the center of the quantum algebra Uq(sl2) is analyzed in detail for both cases when deformation parameter q is/is not a root of unity. It is shown that the result can be obtained in a pure algebraic way without...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Many valued quantum algebras
It is shown that basic algebras serve as an appropriate tool for generalizing both orthomodular lattices and MV-algebras. They can be understood an algebraic counterpart of many-valued quantum logics....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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