20 citations · 30 across the 2 of their papers we have counts for
10 papers
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…
Differentiable Cohomology of Gauge Groups
Jean-Luc Brylinski
We give a definition of differentiable cohomology of a Lie group G (possibly infinite-dimensional) with coefficients in any abelian Lie group. This differentiable cohomology maps b…
Algebraic measures of entanglement
Jean-Luc Brylinski
We study the rank of a general tensor in a tensor product $H_1\ot...\ot H_k$. The rank of is the minimal number of pure states such that is a linear c…