2 citations · 2 across the 1 of their papers we have counts for
4 papers
Reductions in finite-dimensional quantum mechanics: from symmetries to operator algebras and beyond
Oleg Kabernik
The idea that symmetries simplify or reduce the complexity of a system has been remarkably fruitful in physics, and especially in quantum mechanics. On a mathematical level, symmet…
Transition to the classical regime in quantum mechanics on a lattice and implications of discontinuous space
Oleg Kabernik
It is well known that, due to the uncertainty principle, the Planck constant sets a resolution boundary in phase space and the resulting trade-off in resolution between incompatibl…
Quantum State Reduction: Generalized Bipartitions from Algebras of Observables
Oleg Kabernik, Jason Pollack, Ashmeet Singh
Reduced density matrices are a powerful tool in the analysis of entanglement structure, approximate or coarse-grained dynamics, decoherence, and the emergence of classicality. It i…
Quantum Coarse-Graining, Symmetries and Reducibility of Dynamics
Oleg Kabernik
The common idea behind complexity reduction in physical systems is separation of information into "physically meaningful" and "safely ignorable". Here we consider a generic notion…