AbstractThe KKL theorem is a fundamental result in Boolean analysis, stating that any Boolean functionhas an influential variable. Montanaro and Osbomne proposed a quantum extension of Booleanfunctions. In this context, some classical results have been extended to the guantum setting, suchas Talagrand's I-_I’ ineguality. However, a quantum version of the KKL theorem seems to bemissing, as conj...
AbstractWe propose to revisit the problem of guantisation and look at it from an entirely new analefocusing on the guantisation of dynamical systems themselves, rather than of their Poissonstructures. We begin with a dynamical system defined on a free associative algebra fA generatedby non-commutative dynamical variables al, ac2,..., and reduce the problem of guantisation to theproblem of study...