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SUMMARY:Two attempts to study a SU(2) pure gauge lattice theory on two qua
 ntum hardware. - Emanuele Mendicelli (Liverpool U.)
DTSTART:20241115T160000Z
DTEND:20241115T170000Z
UID:TALK222745@talks.cam.ac.uk
CONTACT:Terry Generet
DESCRIPTION:Quantum computers have the potential to expand the utility of 
 lattice gauge theory to investigate non-perturbative particle physics phen
 omena that cannot be accessed using a standard Monte Carlo method due to t
 he sign problem. Thanks to the qubit\, quantum computers can store Hilbert
  space in a more efficient way compared to classical computers. This allow
 s the Hamiltonian approach to be computationally feasible\, leading to abs
 olute freedom from the sign-problem. How concrete and extensive this possi
 bility is should be investigated with new algorithms and through direct si
 mulations. In this talk we briefly report the use of D-Wave and IBM quantu
 m hardware to study the energy spectrum and the time evolution of a SU(2) 
 pure gauge lattice theory in its Hamiltonian formulation. Since the availa
 ble quantum hardware are still noisy and with few resources we rationed th
 em by block diagonalizing the Hamiltonian and by combining gates together 
 to minimizing the circuit length. The error was reduced by using various s
 imple error mitigation techniques\, like mitigation of measurement error\,
  randomized compiling\, zero noise extrapolation and our novel technique c
 alled Self-mitigation. The talk will be based on "https://arxiv.org/abs/21
 03.08661":https://arxiv.org/abs/2103.08661 and "https://arxiv.org/abs/2205
 .09247":https://arxiv.org/abs/2205.09247.
LOCATION:MR19 (Potter Room\, Pavilion B)\, CMS
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