Abstract We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system.In particular, we show how non-vanishing discord implies that the corresponding Hob Cover partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence.Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge.
We connect the non-vanishing of Quilting Gift Items GQD with the existence of wormhole microstates.