1 citations · 1 across the 1 of their papers we have counts for
5 papers
Quantum computing based on complex Clifford algebras
Jaroslav Hrdina, Ales Navrat, Petr Vasik
We propose to represent both --qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension In this f…
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Ales Navrat, Jaroslav Hrdina, Petr Vasik +1
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…
Geometric control theory of vertical rolling disc using symmetries
Jaroslav Hrdina, Ales Navrat, Lenka Zalabova
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. W…
Local geometric control of a certain mechanism with the growth vector (4,7)
Jaroslav Hrdina, Lenka Zalabova
We study local control of the mechanism with the growth vector (4,7). We study controllability and extremal trajectories on the nilpotent approximation as an example of the control…
Generalized planar curves and quaternionic geometry
Jaroslav Hrdina, Jan Slovak
Motivated by the analogies between the projective and the almost quaternionic geometries, we study the generalized planar curves and mappings. We follow, recover, and extend the cl…