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UID:20260413T080032EDT-6268zeiH9w@132.216.98.100
DTSTAMP:20260413T120032Z
DESCRIPTION:Title: Quantum Signal Processing and orthogonal polynomials.\n
 \nAbstract: Block encoding has emerged as a powerful unifying framework in
  quantum algorithms. By leveraging ancillary qubits and post-selection\, i
 t enables the implementation of non-unitary linear transformations within 
 an overall unitary circuit. Methods such as Quantum Signal Processing (QSP
 )\, which aim to block-encode polynomials of a unitary operator\, play a c
 entral role in Hamiltonian simulation and related applications. In this ta
 lk\, I will review these techniques and propose a perspective in which the
 y implement a block encoding of an entire polynomial basis\, rather than a
  single polynomial. This viewpoint leads to a natural connection with the 
 theory of orthogonal and biorthogonal polynomials\, and allows for a struc
 tural characterization of the underlying polynomial families. Finally\, I 
 will discuss how this framework can be leveraged to address some limitatio
 ns of QSP\, including angle preprocessing and multivariate generalizations
 .\n\nLocation: Hybride Pav. André Aisenstadt\, salle/room 4336-4384 \n\nZo
 om: https://umontreal.zoom.us/j/87320012790?pwd=8TbRC4OJdn7dsMPYlIXKvgNIzb
 tk...\n
DTSTART:20260407T200000Z
DTEND:20260407T210000Z
SUMMARY:Pierre-Antoine Bernard (University of Toronto)
URL:/mathstat/channels/event/pierre-antoine-bernard-un
 iversity-toronto-372291
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