Dr Emanuele Mendicelli (University of Liverpool)
Quantum computing is advancing rapidly, with numerous applications across various scientific fields, driven by progress in both hardware and algorithms. While it is well-established that quantum computers offer a significant speedup over classical systems, current noisy intermediate-scale suantum (NISQ) hardware is still limited, featuring only a small number of qubits, noisy gates, and reliance on error mitigation techniques. However, ongoing hardware development shows promise for achieving quantum computers with thousands of qubits and integrated error correction in the near future.In this talk, we will explore the workflow in detail by examining two simplified models from particle physics: a SU(2) pure gauge lattice theory and supersymmetric quantum mechanics. Starting with the encoding of the Hamiltonian on gate-based hardware, we will demonstrate how to extract its dynamics through real time evolution and calculate the energy spectrum using quantum variational methods. Along the way, we will also discuss various error mitigation techniques necessary to minimize hardware errors.
The results presented are derived from two studies: arXiv:2205.09247 and arXiv:2411.15083, where interested readers can find more detailed information
