3 papers
math.OA2026
Laplace operators on quantum graphs
Arkadiusz Bochniak, Dawid JasiÅski, Dawid Jasiński +2
We introduce a class of Laplace operators associated with quantum graphs in the operator-system framework. To this end, we investigate structural properties of quantum graphs relat…
math.OA2025
Quantum Mycielskians: symmetries, twin vertices and distinguishing labelings
Arkadiusz Bochniak, Igor CheÅstowski, PaweÅ Kasprzak +1
We investigate a quantum generalization of the Mycielski construction for quantum graphs. In particular, we analyze the quantum symmetries of quantum Mycielskians and their relatio…
quant-ph2025
Symmetry defects and gauging for quantum states with matrix product unitary symmetries
Adrián Franco-Rubio, Arkadiusz Bochniak, J. Ignacio Cirac
In this work, we examine the consequences of the existence of a finite group of matrix product unitary (MPU) symmetries for matrix product states (MPS). We generalize the well-unde…