On the emergent relative distancebetween quantum systems

Sammanfattning

In an emergent spacetime framework where relative distances between quantum systemsare determined by the mutual information between the systems, an entangled pairmust be shown to have a non-zero distance even though its mutual information is maximalby virtue of being maximally entangled. This report shows that in fact an entangledpair is only maximally entangled in some degrees of freedom such as spin, and when oneintroduces other quantum degrees of freedom the mutual information is no longer maximaland so a non-zero distance can be recovered. In light of a conjectured relationshipbetween Einstein–Rosen Bridges (ER) and entangled Einstein–Podolsky–Rosen (EPR)pairs called ER = EPR, what appeared as a wormhole forming between the two quantumsystems was an artefact of our ignorance of all quantum information associated with thesystems.