Quantum state tomography with muons

• URL: http://arxiv.org/abs/2411.12518v1
• Date: Tue, 19 Nov 2024 14:01:07 GMT
• Title: Quantum state tomography with muons
• Abstract summary: We propose a comprehensive study of quantum entanglement in a state composed of different-flavor fermions in muon-electron scattering. Entanglement in the resulting muon-electron qubit system and the violation of Bell inequalities can be observed with a high event rate.
• Score: 3.4501463826414662
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement is a fundamental pillar of quantum mechanics. Probing quantum entanglement and testing Bell inequality with muons can be a significant leap forward, as muon is arguably the only massive elementary particle that can be manipulated and detected over a wide range of energies, e.g., from approximately 0.3 to $10^2$ GeV, corresponding to velocities from 0.94 to nearly the speed of light. In this work, we present a realistic proposal and a comprehensive study of quantum entanglement in a state composed of different-flavor fermions in muon-electron scattering. The polarization density matrix for the muon-electron system is derived using a kinematic approach within the relativistic quantum field theory framework. Entanglement in the resulting muon-electron qubit system and the violation of Bell inequalities can be observed with a high event rate. This paves the way for performing quantum tomography with muons.

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