Improved Hamiltonians for Quantum Simulations

Kavli Affiliate: Marcela Carena

| First 5 Authors: Marcela Carena, Henry Lamm, Ying-Ying Li, Wanqiang Liu,

| Summary:

The quantum simulation of lattice gauge theories for the foreseeable future
will be hampered by limited resources. The historical success of
Symanzik-improved lattice actions in classical simulations strongly suggests
that improved Hamiltonians will reduce quantum resources for fixed
discretization errors. In this work, we consider Symanzik-improved lattice
Hamiltonians for pure gauge theories and design quantum circuits for
$mathcal{O}(a^2)$-improved Hamiltonians in terms of primitive group gates. An
explicit demonstration for $mathbb{Z}_2$ is presented including exploratory
tests using the ibm_perth device.

| Search Query: ArXiv Query: search_query=au:”Marcela Carena”&id_list=&start=0&max_results=10

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