Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Vasik, Petr"'
Autor:
Hrdina, Jaroslav, Hildenbrand, Dietmar, Návrat, Aleš, Steinmetz, Christian, Alves, Rafael, Lavor, Carlile Campos, Vašík, Petr, Eryganov, Ivan
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) implementation of our approach. Using the QRA
Externí odkaz:
http://arxiv.org/abs/2208.02608
We propose to represent both $n$--qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension $2n.$ In this framework, the Dirac formalism can be realized in straightforward way.
Externí odkaz:
http://arxiv.org/abs/2201.02246
We study the role of symmetries in control systems through the geometric algebra approach. We discuss two specific control problems on Carnot groups of step $2$ invariant with respect to the action of $SO(3)$. We understand the geodesics as the curve
Externí odkaz:
http://arxiv.org/abs/2111.11088
Autor:
Loučka, Pavel, Vašík, Petr
We introduce several modifications of conic fitting in Geometric algebra for conics by incorporating additional conditions into the optimisation problem. Each of these extra conditions ensure additional geometric properties of a fitted conic, in part
Externí odkaz:
http://arxiv.org/abs/2103.14072
Autor:
Derevianko, Anna, Vašík, Petr
We design an algorithm for control of a linear switched system by means of Geometric Algebra. More precisely, we develop a switching path searching algorithm for a two-dimensional linear dynamical switched system with non-singular matrix whose integr
Externí odkaz:
http://arxiv.org/abs/2103.13803
We show that if PGA is understood as a subalgebra of CGA in mathematically correct sense, then the flat objects share the same representation in PGA and CGA. Particularly, we treat duality in PGA. This leads to unification of PGA and CGA objects whic
Externí odkaz:
http://arxiv.org/abs/2002.05993
We construct a privileged system of coordinates with respect to the controlling distribution of a trident snake robot and, furthermore, we construct a nilpotent approximation with respect to the given filtration. Note that all constructions are local
Externí odkaz:
http://arxiv.org/abs/1607.08500
Akademický článek
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Autor:
Rahula, Maido, Vasik, Petr
We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet--like approach considers a higher order connection
Externí odkaz:
http://arxiv.org/abs/1206.5583
Autor:
Hrdina, Jaroslav, Vasik, Petr
An almost Clifford and an almost Cliffordian manifold is a $G$--structure based on the definition of Clifford algebras. An almost Clifford manifold based on $\mathcal O:= \cc l (s,t)$ is given by a reduction of the structure group $GL(km, \mathbb R)$
Externí odkaz:
http://arxiv.org/abs/1205.6048