34 citations · 111 across the 13 of their papers we have counts for
14 papers
Bandwidth limited functions on locally compact abelian groups
Jean-Luc Brylinski
This mostly expository paper gives a unified treatment of many interpolation results for bandwidth-limited functions on locally compact abelian groups, based on reproducing kernel…
A remark on the Brown-Susskind conjecture
Jean-Luc Brylinski, Ranee Brylinski
In the spirit of the Brown-Susskind conjecture, proven in \cite{haf} and \cite{li}, we study the growth of the dimension of the set of -qubit unitaries which can be obtained as…
Equivariant Todd Classes for Toric Varieties
Jean-Luc Brylinski, Bin Zhang
For a complete toric variety, we obtain an explicit formula for the localized equivariant Todd class in terms of the combinatorial data -- the fan. This is based on the equivariant…
Complexity and Completeness of Immanants
Jean-Luc Brylinski, Ranee Brylinski
Immanants are polynomial functions of n by n matrices attached to irreducible characters of the symmetric group S_n, or equivalently to Young diagrams of size n. Immanants include…
Universal quantum gates
Jean-Luc Brylinski, Ranee Brylinski
In this paper we study universality for quantum gates acting on qudits.Qudits are states in a Hilbert space of dimension d where d is at least two. We determine which 2-qudit gates…
Invariant Polynomial Functions on k qudits
Jean-Luc Brylinski, Ranee Brylinski
We study the polynomial functions on tensor states in which are invariant under . We describe the space of invariant polynomials in terms of symmetric…