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

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