We reformulate the notion of uncertainty pairs unitary operators within context guessing games and derive an entropic relation for a pair such operators. show how distinguishable are compatible while maximal incompatibility can be connected to bases some subspace which mutually unbiased.

Periodically driven quantum many-body systems play a central role for our understanding of nonequilibrium phenomena. For studies chaos, thermalization, localization and time crystals, the properties eigenvectors eigenvalues unitary evolution operator, their scaling with physical system size $L$ are interest. While static systems, powerful methods partial diagonalization Hamiltonian were develop...

One of the main methods of examining non-normal operators, acting on Hilbert spaces, is the theory of contractions. This area of operator theory was developed by Béla Sz.-Nagy and Ciprian Foias from the dilation theorem of Sz.-Nagy. Sz.-Nagy and Foias classi ed the contractions according to their asymptotic behaviour. They got strong structural results in the case when the contraction and its a...