7 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
Analytical Angle-Finding and Series Expansions for Quantum Signal Processing via Orthogonal Polynomial Theory
Pierre-Antoine Bernard, Nathan Wiebe
Quantum signal processing is a powerful framework in quantum algorithms, playing a central role in Hamiltonian simulation and related applications. The sequence of polynomials impl…
Distinctive features of inhomogeneous spin chains
Pierre-Antoine Bernard, Gilles Parez, Luc Vinet
This review presents recent developments in the study of inhomogeneous XX spin chains, highlighting results on perfect state transfer, out-of-equilibrium stationary dynamics in ope…
A dynamical algebra of protocol-induced transformations on Dicke states
Pierre-Antoine Bernard, Luc Vinet
Quantum -qubit states that are totally symmetric under the permutation of qubits are essential ingredients of important algorithms and applications in quantum information. Conse…
Currents in non-equilibrium steady states of open inhomogeneous -spin chains
Pierre-Antoine Bernard, Ismaël Bussière, Roberto Floreanini +1
We investigate spin and heat currents in the non-equilibrium steady state of inhomogeneous -spin chains, which act as interfaces between two bosonic heat baths. Using special f…
Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +2
This paper offers a review of recent studies on the entanglement of free-fermion systems on graphs that take advantage of methods pertaining to signal processing and algebraic comb…