One aspect of quantum hardware that is particularly exciting is its strength in the study of dynamics (real-time evolution of a system as opposed to the equilibrium properties more typical for Quantum Monte Carlo studies on classical computers). Studying dynamics involves unitary operations, which in fact form the building blocks of quantum circuits. For pure gauge theories on NISQ devices, the formulation of lattice gauge theories called quantum link models (QLMs) is especially suitable, because gauge invariance is realized exactly in a finite-dimensional Hilbert space for each quantum lattice link. I demonstrate this in my work on studying SO(3)-symmetric theories on real hardware.
NISQ devices generally involve short decoherence times and too few qubits for error correction. However, there are ways to perform error mitigation and get good qualitative (and sometimes good quantitative) results for small systems. I show this in my work where I study real-time evolution of Z2 and U(1) QLMs on real hardware with error mitigation.
Selected Publications
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.7.013283
Phys. Rev. Research 7, 01328 (2025)
Toward the real-time evolution of gauge-invariant and quantum link models on noisy intermediate-scale quantum hardware with error mitigation
Phys. Rev. D 106, 094502 (2022)
Violation of noninvasive macrorealism by a superconducting qubit: Implementation of a Leggett-Garg test that addresses the clumsiness loophole
Phys. Rev. A 95, 032131 (2014)
