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SUMMARY:Hamiltonian simulation and optimal control - Pranav Singh (Univers
 ity of Bath)
DTSTART:20240307T150000Z
DTEND:20240307T160000Z
UID:TALK210136@talks.cam.ac.uk
CONTACT:Nicolas Boulle
DESCRIPTION:Hamiltonian simulation on quantum computers is one of the prim
 ary candidates for demonstration of quantum advantage. A central tool in H
 amiltonian simulation is the matrix exponential. While uniform polynomial 
 approximations (Chebyshev)\, best polynomial approximations\, and unitary 
 but asymptotic rational approximations (Padé) are well known and are exte
 nsively used in computational quantum mechanics\, there was an important g
 ap which has now been filled by the development of the theory and algorith
 ms for unitary rational best approximations. This class of approximants le
 ads to geometric numerical integrators with excellent approximation proper
 ties. In the second part of the talk I will talk about time-dependent Hami
 ltonians for many-body two-level systems\, including a quantum algorithm f
 or their simulation and some (classical) optimal control algorithms for qu
 antum gate design.
LOCATION:Centre for Mathematical Sciences\, MR14
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