Prospects for quantum process tomography at high energies

• URL: http://arxiv.org/abs/2412.01892v1
• Date: Mon, 02 Dec 2024 19:00:00 GMT
• Title: Prospects for quantum process tomography at high energies
• Authors: Clelia Altomonte, Alan J. Barr, Michał Eckstein, Paweł Horodecki, Kazuki Sakurai,
• Abstract summary: In quantum information theory, the evolution of an open quantum system is described by a quantum channel or, more generally, a quantum instrument. We formulate spin and measurements in collider experiments as a quantum instrument.
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• Abstract: 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 a quantum instrument. 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 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 also provides a fundamental test of quantum mechanics itself. As an example, we outline a quantum process tomography approach applied to the $e^+ e^- \to t \bar{t}$ process at a polarized lepton collider.

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