Prospects for quantum process tomography at high energies
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909589490892800 |
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| author | Altomonte, Clelia Barr, Alan J. Eckstein, Michał Horodecki, Paweł Sakurai, Kazuki |
| author_facet | Altomonte, Clelia Barr, Alan J. Eckstein, Michał Horodecki, Paweł Sakurai, Kazuki |
| contents | In quantum information theory, the evolution of an open quantum system -- a unitary evolution followed by a measurement -- is described by a quantum channel or, more generally, a quantum instrument. In this work, we formulate spin and flavour measurements in collider experiments as quantum instruments. We demonstrate that the Choi matrix, which completely determines input-output transitions, can be both theoretically computed from a given model and experimentally reconstructed from a set of final state measurements (quantum state tomography) using varied input states. The experimental reconstruction of the Choi matrix, known as quantum process tomography, offers a powerful new approach for probing potential extensions of the Standard Model within the quantum field theory framework and, at the same time, constitutes a new foundational test of quantum mechanics itself. As an example, we outline the quantum process tomography approach applied to the $e^+ e^- \to t \bar{t}$ process at a polarized lepton collider. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Prospects for quantum process tomography at high energies Altomonte, Clelia Barr, Alan J. Eckstein, Michał Horodecki, Paweł Sakurai, Kazuki High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Quantum Physics In quantum information theory, the evolution of an open quantum system -- a unitary evolution followed by a measurement -- is described by a quantum channel or, more generally, a quantum instrument. In this work, we formulate spin and flavour measurements in collider experiments as quantum instruments. We demonstrate that the Choi matrix, which completely determines input-output transitions, can be both theoretically computed from a given model and experimentally reconstructed from a set of final state measurements (quantum state tomography) using varied input states. The experimental reconstruction of the Choi matrix, known as quantum process tomography, offers a powerful new approach for probing potential extensions of the Standard Model within the quantum field theory framework and, at the same time, constitutes a new foundational test of quantum mechanics itself. As an example, we outline the quantum process tomography approach applied to the $e^+ e^- \to t \bar{t}$ process at a polarized lepton collider. |
| title | Prospects for quantum process tomography at high energies |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2412.01892 |