Prospects for quantum process tomography at high energies

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 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.

37 pages, 3 figures, v2: improved presentation