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quant-ph2026
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…
quant-ph2001
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…
quant-ph2000
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…