Reflection and Transmission Amplitudes in a Digital Quantum Simulation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909352313487360 |
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| author | Mussardo, Giuseppe Stampiggi, Andrea Trombettoni, Andrea |
| author_facet | Mussardo, Giuseppe Stampiggi, Andrea Trombettoni, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reflection and Transmission Amplitudes in a Digital Quantum Simulation Mussardo, Giuseppe Stampiggi, Andrea Trombettoni, Andrea Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory 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. |
| title | Reflection and Transmission Amplitudes in a Digital Quantum Simulation |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.01669 |