Gluing polyhedra with entanglement in loop quantum gravity

Bekir Baytaş, Eugenio Bianchi, Nelson Yokomizo

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In a spin-network basis state, nodes of the graph describe unentangled quantum regions of space, quantum polyhedra. In this paper we show how entanglement between intertwiner degrees of freedom enforces gluing conditions for neighboring quantum polyhedra. In particular, we introduce Bell-network states, entangled states defined via squeezed vacuum techniques. We study correlations of quantum polyhedra in a dipole, a pentagram, and a generic graph. We find that vector geometries, structures with neighboring polyhedra having adjacent faces glued back to back, arise from Bell-network states. We also discuss the relation to Regge geometries. The results presented show clearly the role that entanglement plays in the gluing of neighboring quantum regions of space.

Original languageEnglish (US)
Article number026001
JournalPhysical Review D
Issue number2
StatePublished - Jul 15 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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