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SUMMARY:Quantum computing of fluid dynamics - Yue Yang\, Peking University
DTSTART:20240607T150000Z
DTEND:20240607T160000Z
UID:TALK216232@talks.cam.ac.uk
CONTACT:Professor Grae Worster
DESCRIPTION:It is anticipated that quantum computing will be able to tackl
 e hard real-world problems. Fluid dynamics\, a highly challenging problem 
 in classical physics and various applications\, emerges as a good candidat
 e for showing quantum utility. We report our recent progress on quantum co
 mputing of fluid dynamics. In theory\, we propose a quantum spin represent
 ation of fluid dynamics\, which transforms the Navier-Stokes equation into
  the Schrödinger-Pauli equation through the generalized Madelung transfor
 mation. In this way\, the fluid flow can be regarded as a special quantum 
 system\, which is feasible for flow simulation on a quantum computer. In t
 erms of algorithm\, we propose a quantum Hamiltonian simulation algorithm\
 , which is able to simulate compressible or incompressible flows and scala
 r convection-reaction-diffusion problems with quantum acceleration. In ter
 ms of hardware implementation\, we have realized the quantum simulation of
  two-dimensional unsteady flow on a quantum processor. These results demon
 strate the potential of quantum computing to simulate complex flows\, incl
 uding turbulence\, in future endeavors.
LOCATION:MR2
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