15 citations · 76 across the 20 of their papers we have counts for
4 papers · 1 filter
Error bounds for Lie Group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn +1
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…
Deep-Circuit QAOA
Gereon Koßmann, Lennart Binkowski, Lauritz van Luijk +2
Despite its popularity, several empirical and theoretical studies suggest that the quantum approximate optimization algorithm (QAOA) has persistent issues in providing a substantia…
State-dependent Trotter Limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn +1
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position…
Self-Adjointness of Toeplitz Operators on the Segal-Bargmann Space
Wolfram Bauer, Lauritz van Luijk, Alexander Stottmeister +1
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. Our criterion applies, in particular, to symbols with Lipschi…