Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Navrat, Ales"'
Autor:
Návrat, Aleš, Zalabová, Lenka
This paper explicitly constructs the complete set of optimal sub-Riemannian geodesics starting from a point for certain Carnot groups of step two. These are groups of dimension 2n+1 equipped with a left-invariant distribution of dimension n+1 such th
Externí odkaz:
http://arxiv.org/abs/2404.01831
In this paper, a novel quantization scheme for cooperative games is proposed. The considered circuit is inspired by the Eisert-Wilkens-Lewenstein protocol modified to represent cooperation between players and extended to $3$-qubit states. The framewo
Externí odkaz:
http://arxiv.org/abs/2310.18067
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
We study symmetries of specific left--invariant sub--Riemannian structure with filtration $(4,7)$ and their impact on sub--Riemannian geodesics of corresponding control problem. We show that there are two very different types of geodesics, they eithe
Externí odkaz:
http://arxiv.org/abs/2102.07428
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
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
We use the methods of geometric control theory to study extremal trajectories of vertical rolling disk. We focus on the role of symmetries of the underlying geometric structures. We demonstrate the computations in the CAS Maple package DifferentialGe
Externí odkaz:
http://arxiv.org/abs/1908.03352
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.