34 citations · 198 across the 23 of their papers we have counts for
23 papers
Clifford group is not a semidirect product in dimensions divisible by four
Miroslav Korbelář, Jiří Tolar
The paper is devoted to projective Clifford groups of quantum -dimensional systems. Clearly, Clifford gates allow only the simplest quantum computations which can be simulated o…
On Clifford groups in quantum computing
J. Tolar
The term Clifford group was introduced in 1998 by D. Gottesmann in his investigation of quantum error-correcting codes. The simplest Clifford group in multiqubit quantum computatio…
A classification of finite quantum kinematics
J. Tolar
Quantum mechanics in Hilbert spaces of finite dimension is reviewed from the number theoretic point of view. For composite numbers possible quantum kinematics are classifie…
Symmetries of finite Heisenberg groups for multipartite systems
M. Korbelar, J. Tolar
A composite quantum system comprising a finite number k of subsystems which are described with position and momentum variables in Z_{n_{i}}, i=1,...,k, is considered. Its Hilbert s…
Symmetries of finite Heisenberg groups for k-partite systems
M. Korbelar, J. Tolar
Symmetries of finite Heisenberg groups represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. This short contribution presents exten…
Quantizations on the circle and coherent states
G. Chadzitaskos, P. Luft, J. Tolar
We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S^1 including the Aharonov-Bohm typ…