Improved Hamiltonians for Quantum Simulations of Gauge Theories

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 greater than or similar to 2(d) fewer qubits in quantum simulations for lattices with d-spatial dimensions. In this work, we consider 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 Z(2) gauge theory is presented including exploratory tests using the ibm_perth device.

Automated summary

This paper discusses the possibility of using improved Hamiltonians in quantum simulations of lattice gauge theories and designs corresponding quantum circuits. The effectiveness of this approach is demonstrated through explicit examples in Z(2) gauge theory.