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.
arXiv comment9+4 pages, 8+6 figures. v2: corrections, according to referee suggestions: version published in the journal
References in corpus (12)
- Elementary gates for quantum computation
- Quantum Simulation
- Quantum state engineering with Josephson-junction devices
- Quantum Algorithms for Quantum Field Theories
- Simulating Lattice Gauge Theories within Quantum Technologies
- Efficient Simulation of Quantum Systems by Quantum Computers
- Quantum Simulation for High Energy Physics
- Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
- Quantum simulation of the single-particle Schrodinger equation
- Scattering Amplitudes in Quantum Field Theory
- Quantum Simulation of Bound State Scattering
- Cold-atom quantum simulators of gauge theories