Reflection and Transmission Amplitudes in a Digital Quantum Simulation
arXiv:2407.01669 · doi:10.1140/epjqt/s40507-024-00277-3
Abstract
In this paper we show how to measure in the setting of digital quantum simulations the reflection and transmission amplitudes of the one-dimensional scattering of a particle with a short-ranged potential. The main feature of the protocol is the coupling between the particle and an ancillary spin-1/2 degree of freedom. This allows us to reconstruct tomographically the scattering amplitudes, which are in general complex numbers, from the readout of one qubit. Applications of our results are discussed.
9+4 pages, 8+6 figures. v2: corrections, according to referee suggestions: version published in the journal
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