https://doi.org/10.1140/epjqt/s40507-024-00277-3
Research
Reflection and transmission amplitudes in a digital quantum simulation
1
SISSA and INFN, Sezione di Trieste, via Bonomea 265, I-34136, Trieste, Italy
2
Dipartimento di Fisica, Universitá di Trieste, Strada Costiera 11, I-34151, Trieste, Italy
Received:
24
July
2024
Accepted:
30
September
2024
Published online:
9
October
2024
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.
Key words: Quantum Simulation / Quantum Computation / Scattering Theory
© The Author(s) 2024
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