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 fewer qubits in quantum simulations for lattices with -spatial dimensions. In this work, we consider -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 gauge theory is presented including exploratory tests using the ibm_perth device.
- Received 15 March 2022
- Revised 8 May 2022
- Accepted 8 July 2022
DOI:https://doi.org/10.1103/PhysRevLett.129.051601
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society