25 citations · 59 across the 11 of their papers we have counts for
12 papers
Opinion bubbles in the quantum Buridan's ass problem
Leonid Chaichenets, Jaroslav Novotný, Igor Jex +2
The quantum Buridan's ass problem concerns a network of interconnected nodes in which transitions between the nodes are governed by the laws of quantum mechanics. In such situation…
Out of Tune: Demystifying Noise-Effects on Quantum Fourier Models
Maja Franz, Melvin Strobl, Leonid Chaichenets +3
Variational quantum algorithms have received substantial theoretical and empirical attention. As the underlying variational quantum circuit (VQC) can be represented by Fourier seri…
Complex Interpolation and the Monotonicity in the Spatial Integrability Parameter of Exponentially Weighted Modulation Spaces
Leonid Chaichenets, Jan Hausmann
We introduce the notion of common retraction and coretraction for families of Banach spaces, formulate a framework for identifying interpolation spaces, and apply it to modulation…
Higher order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result
Leonid Chaichenets, Nikolaos Pattakos
In this paper we transfer a small data global existence and scattering result by Wang and Hudzik to the more general case of modulation spaces where $q =…
On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces
Leonid Chaichenets, Nikolaos Pattakos
We prove global wellposedness of the Klein-Gordon equation with power nonlinearity , where , in dimension with initial data i…
On the global well-posedness of the quadratic NLS on
Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1
We study the one dimensional nonlinear Schrödinger equation with power nonlinearity for and initial data . We…