Resonances Scattering with Universal Quantum Computers

Zheyue Hang; University of Iowa

There has been a fast-growing interest for quantum computation in the con text of high energy and nuclear physics. It is possible to deal with the rapid oscillations of real-time evolution using quantum computers with a so far limited number of qubits. We have been able to measure phase shifts during scattering process with real-time evolution for the collision by calculating the time delay between models with and without an external potential. To explore scattering problems with more intricate potentials, we use the phase shift to calculate the transmission probability to find resonances and compare with results obtained by finite volume spectroscopy (Luscher method). Quantum computing shows possible advantages in simulating large quantum systems, which means we can construct a suitable model in IBM qiskit with quantum gates and circuits to explore more resonances.