2 citations · 3 across the 9 of their papers we have counts for
10 papers
On Relationship Between Circuit Depth and Trainability of VQAs
Jan Michálek, Martin Friák, Petr Vašík
The training efficiency of Variational Quantum Algorithms (VQAs) is dictated by the geometry of their loss landscapes, which can be formally analysed by mapping these functions to…
Quantum Register Algebra: the mathematical language for quantum computing
Jaroslav Hrdina, Dietmar Hildenbrand, Aleš Návrat +5
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 Algebr…
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…
Note on geometric algebras and control problems with SO(3)-symmetries
Jaroslav Hrdina, Ales Navrat, Petr Vasik +1
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 invariant with resp…
On multi-conditioned conic fitting in Geometric algebra for conics
Pavel Loučka, Petr Vašík
We introduce several modifications of conic fitting in Geometric algebra for conics by incorporating additional conditions into the optimisation problem. Each of these extra condit…
Solver-free optimal control for Linear Dynamical Switched System by means of Geometric Algebra
Anna Derevianko, Petr Vašík
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…
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…
Nilpotent approximation of a trident snake robot controlling distribution
Jaroslav Hrdina, Ales Navrat, Petr Vasik
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…
A note on jet and geometric approach to higher order connections
Maido Rahula, Petr Vasik
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 struct…
Geometry of almost Cliffordian manifolds: classes of subordinated connections
Jaroslav Hrdina, Petr Vasik
An almost Clifford and an almost Cliffordian manifold is a --structure based on the definition of Clifford algebras. An almost Clifford manifold based on $\mathcal O:= \cc l (s,…