1 citations · 1 across the 1 of their papers we have counts for
3 papers
quant-ph2022★ 1 cited
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…
math.AG2020
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…
math.DG2019
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…