Speaker
Description
Entanglement between particles is a fundamental concept of quantum physics which one might expect to be predicted by the theory of loop quantum gravity. Famously, entanglement aborts the idea of locality the EPR paradox is based on. Technically locality implemented by hidden variables places an upper bound on the measurement correlations between two observers (Bell's inequality). However, as shown in theoretical and experimental setups, one can exceed this bound.
One simple setup includes two spacelike separated observers which each measure the spin projection of one half of a pair of qubits. We will present a loop quantum gravity version of this setup on the kinematical level, starting with the definition of a spin projection operator which will enable us to formulate the measurements of the two observers in a gauge invariant way. Defining the Hilbert space this operator acts on and calculating its spectrum will allow us to write down states that violate Bell's inequality. We will also give a geometric interpretation of the parameter that describes the amout of violation of the inequality.
