Improved Hamiltonians for Quantum Simulations
- URL: http://arxiv.org/abs/2203.02823v2
- Date: Mon, 22 Aug 2022 16:09:44 GMT
- Title: Improved Hamiltonians for Quantum Simulations
- Authors: Marcela Carena, Henry Lamm, Ying-Ying Li, Wanqiang Liu
- Abstract summary: Hamiltonians with improved discretization errors will reduce quantum resources.
$mathcalO(a2)$-improved Hamiltonians for pure gauge theories.
$bbZ$ gauge theory is presented including exploratory tests using the ibm_perth device.
- Score: 8.771066413050963
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum simulations of lattice gauge theories for the foreseeable future will
be hampered by limited resources. The historical success of improved lattice
actions in classical simulations strongly suggests that Hamiltonians with
improved discretization errors will reduce quantum resources, i.e. require
$\gtrsim 2^d$ fewer qubits in quantum simulations for lattices with $d$ spatial
dimensions. In this work, we consider $\mathcal{O}(a^2)$-improved Hamiltonians
for pure gauge theories and design the corresponding quantum circuits for its
real-time evolution in terms of primitive gates. An explicit demonstration for
$\mathbb{Z}_2$ gauge theory is presented including exploratory tests using the
ibm_perth device.
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