2 papers
quant-ph2025
Group-theoretical analysis of quantum complexity: the oscillator group case
K. Andrzejewski, K. Bolonek-Lasoń, P. Kosiński
Motivated by the recent rapid development of complexity theory applied to quantum mechanical processes we present the complete derivation of Nielsen's complexity of unitaries belon…
math-ph2025
Herglotz's formalism, Eisenhart lift and Killing vectors
Krystian Bartczak, Piotr Kosiński
The Eisenhart lift is extended to the case of dynamics described by action-dependent Lagrangians. The resulting Brinkmann metric depends on all coordinates. It is shown that the sy…