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In order to show that the graviton is a quantum entity an experiment isproposed that can show that quantum entanglement is produced by means of anexchange of gravitons. For this to be possible, one has to be able to witnessthe entanglement between the two objects considered in the experiment and to beable to eliminate other sources of entanglement like the exchange of virtualphotons. Graviton mediated polarisation-polarisation photon entanglement isbeing analysed by methods originating from the Schwinger Keldysh and theKadanoff Baym formalisms in conjunction with quantum Boltzmann type equations.Applications in the context of cosmology are discussed.

Graviton mediated polarisation-polarisation entanglement of photons by  means of the Schwinger Keldysh and Kadanoff Baym formalisms and Quantum  Boltzmann equations