Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases

TL;DR

This paper introduces a quantum information approach to Compton scattering, proposing a method to experimentally witness entanglement in multiphoton states using Mutually Unbiased Bases, with implications for quantum communication and medical imaging.

Contribution

It develops a quantum information theoretic framework for Compton scattering and provides a feasible experimental method to detect entanglement in multiphoton processes using MUBs.

Findings

Proposes a witness for entanglement in multiphoton Compton scattering.

Links geometry and entanglement with potential applications in teleportation and Bell tests.

Suggests future use in cancer detection through quantum imaging.

Abstract

We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons. The Kraus-type structure allows a straightforward generalisation to the multiphoton cases, relevant in the decay of positronium which is utilized e.g. for metabolic PET-imaging (Positron-Emission-Tomograph). Predicted by theory but never experimentally proven, the two- or three-photon states should be entangled. We provide an experimentally feasible method to witness entanglement for these processes via MUBs (Mutually Unbiased Bases), exploiting Bohr's complementarity. Last but not least we present explicit cases exemplifying the interrelation of geometry and entanglement including relations to its potentiality for teleportation schemes or Bell inequality violations or in future for detecting cancer in human beings.