Resonances scattering in universal quantum computers

Zheyue Hang

There has been a fast-growing interest for quantum computation in the context of high energy and nuclear physics. One important motivation is calculating real-time evolution in large Hilbert spaces which can be prohibitive with classical computers. 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 . 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.

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