10 citations · 17 across the 14 of their papers we have counts for
14 papers
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…
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…
Dixmier Algebras for Classical Complex Nilpotent Orbits via Kraft-Procesi Models I
Ranee Brylinski
We attach a Dixmier algebra B to the closure of any nilpotent orbit of G where G is GL(n,C), O(n,C) or Sp(2n,C). This algebra B is a noncommutative analog of the coordinate ring R…
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…
Non-Locality of Equivariant Star Products on
Ranee Brylinski
Lecomte and Ovsienko constructed -equivariant quantization maps for symbols of differential operators on -densities on $\RP^n$. We derive some formulas for th…