28 citations · 30 across the 6 of their papers we have counts for
7 papers
Quantum State Transfer in Graphs with Tails
Pierre-Antoine Bernard, Christino Tamon, Luc Vinet +1
We consider quantum state transfer on finite graphs which are attached to infinite paths. The finite graph represents an operational quantum system for performing useful quantum in…
An explanation of the commuting operator "miracle" in time and band limiting
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Time and band limiting operators are expressed as functions of the confluent Heun operator arising in the spheroidal wave equation. Explicit formulas are obtained when the bandwidt…
The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
The adjacency matrix of a symplectic dual polar graph restricted to the eigenspaces of an abelian automorphism subgroup is shown to act as the adjacency matrix of a weighted subspa…
Entanglement of Free Fermions on Hamming Graphs
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Free fermions on Hamming graphs are considered and the entanglement entropy for two types of subsystems is computed. For subsets of vertices that form Hamming subgraphs, a…
Heun operator of Lie type and the modified algebraic Bethe ansatz
Pierre-Antoine Bernard, Nicolas Crampe, Dounia Shaaban Kabakibo +1
The generic Heun operator of Lie type is identified as a certain -Gaudin magnet Hamiltonian in a magnetic field. By using the modified algebraic Bethe ansatz introduced to diag…
Superintegrability and the dual Hahn algebra in superconformal quantum mechanics
Pierre-Antoine Bernard, Julien Gaboriaud, Luc Vinet
A two-dimensional superintegrable system of singular oscillators with internal degrees of freedom is identified and exactly solved. Its symmetry algebra is seen to be the dual …