  We establish a relation between entanglement in simple quantum mechanical
qubit systems and in wormhole physics as considered in the context of the
AdS/CFT correspondence. We show that in both cases, states with the same
entanglement structure, indistinguishable by any local measurement,
nevertheless are characterized by a different Berry phase. This feature is
experimentally accessible in coupled qubit systems where states with different
Berry phase are related by unitary transformations. In the wormhole case, these
transformations are identified with a time evolution of one of the two throats.
