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arXiv · 2411.12518

Quantum state tomography with muons

Leyun Gao·Alim Ruzi·Qite Li·Chen Zhou·Liangwen Chen·Xueheng Zhang·Zhiyu Sun·Qiang Li
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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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Leyun Gao, Alim Ruzi, Qite Li, Chen Zhou, Liangwen Chen, Xueheng Zhang, Zhiyu Sun, Qiang Li. 2024-11-19. Quantum state tomography with muons. https://doi.org/10.1088/1361-6471%2Fade733

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