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SUMMARY:Lazy Quantum Walks with Native Multiqubit Gates - Stephanie Foulds
 \, University of Strathclyde
DTSTART:20260318T123000Z
DTEND:20260318T140000Z
UID:TALK242971@talks.cam.ac.uk
CONTACT:Lila Cadi Tazi
DESCRIPTION:Quantum walks\, the quantum analogue to the classical random w
 alk\, have been shown to deliver the Dirac equation in the continuum limit
 . Recent work has shown that 'lazy'\, open quantum walks can be mapped to 
 computational methods for fluid simulation such as lattice Boltzmann metho
 d\, quantum fluid dynamics\, and smoothed-particle hydrodynamics. This wor
 k concerns evaluating the ability of near-term hardware to perform small\,
  proof-of-concept quantum walks -- but crucially with the inclusion of a r
 est state to encompass 'lazy' quantum walks\, providing an integral step t
 owards quantum walks for fluid simulation. We propose the half-adder quant
 um walk gate circuit as a computationally relevant and transparent algorit
 hmic benchmark that encompasses multiqubit operation fidelity and high qub
 it connectivity.\n\nNeutral atom hardware is a promising choice of platfor
 m for implementing quantum walks due to its ability to implement native mu
 ltiqubit gates and to dynamically re-arrange qubits. Using detail realisti
 c modelling for near-term multiqubit Rydberg gates via two-photon adiabati
 c rapid passage\, SPAM\, and passive error\, we present the gate sequences
  and final state fidelities for quantum walks with and without a rest stat
 e on 4 to 16-node rings. This\, along with results of an error model with 
 improved two- and three-qubit gate fidelities\, leads us to conclude that 
 a native four-qubit gate is highly beneficial for the near-term implementa
 tion of interesting quantum walks on neutral atom hardware.
LOCATION:Todd-Hamied Room\, Yusuf Hamied Department of Chemistry\, Cambrid
 ge
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