Quantum bit threads

Abstract

We give a bit thread prescription that is equivalent to the quantum extremal surface prescription for holographic entanglement entropy. Our proposal is inspired by considerations of bit threads in doubly holographic models, and equivalence is established by proving a generalisation of the Riemannian max-flow min-cut theorem. We explore our proposal's properties and discuss ways in which islands and spacetime are emergent phenomena from the quantum bit thread perspective.

24 pages, 5 figures; v2: minor improvements made and new appendix added; v3: version for publication with no significant changes

References in corpus (4)

• Holographic entanglement contour, bit threads, and the entanglement tsunami
• On entanglement entropy functionals in higher derivative gravity theories
• Local measures of entanglement in black holes and CFTs
• Quantum bit threads and holographic entanglement

Cited by in corpus (4)

• Covariant bit threads
• Quantum bit threads and holographic entanglement
• Correlations of mixed systems in confining backgrounds
• First Law and Quantum Correction for Holographic Entanglement Contour