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Simulation of the Schrödinger particle non-elastic scattering with emission of photon in the quantum register

Ostrowski M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2020

Vol. 68, nr 5

1217--1225

This paper investigates whether a quantum computer can efficiently simulate the non-elastic scattering of the Schrödinger particle on a stationary excitable shield. The return of the shield to the ground state is caused by photon emission. An algorithm is presented for simulating the time evolution of such a process, implemented on standard two-input gates. The algorithm is used for the computation of elastic and non-elastic scattering probabilities. The results obtained by our algorithm are compared with those obtained using the standard Cayley’s method.