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CATEGORIES:Applied and Computational Analysis
SUMMARY:Hamiltonian simulation and optimal control - Prana
v Singh (University of Bath)
DTSTART;TZID=Europe/London:20240307T150000
DTEND;TZID=Europe/London:20240307T160000
UID:TALK210136AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/210136
DESCRIPTION:Hamiltonian simulation on quantum computers is one
of the primary candidates for demonstration of qu
antum advantage. A central tool in Hamiltonian sim
ulation is the matrix exponential. While uniform p
olynomial approximations (Chebyshev)\, best polyno
mial approximations\, and unitary but asymptotic r
ational approximations (PadÃ©) are well known and a
re extensively used in computational quantum mecha
nics\, there was an important gap which has now be
en filled by the development of the theory and alg
orithms for unitary rational best approximations.
This class of approximants leads to geometric nume
rical integrators with excellent approximation pro
perties. In the second part of the talk I will tal
k about time-dependent Hamiltonians for many-body
two-level systems\, including a quantum algorithm
for their simulation and some (classical) optimal
control algorithms for quantum gate design.
LOCATION:Centre for Mathematical Sciences\, MR14
CONTACT:Nicolas Boulle
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