English

Minimal Purifications, Wormhole Geometries, and the Complexity=Action Proposal

High Energy Physics - Theory 2018-12-06 v2 Quantum Physics

Abstract

We define a new criterion for selecting a specific minimal entanglement purification of given mixed states in generic quantum states using the entanglement of purification. We then propose that its holographic dual is the state living on the boundary of the entanglement wedge in the surface-state correspondence. Finally, we make some remarks about the relationship between this and the complexity equals action proposals.

Keywords

Cite

@article{arxiv.1811.03113,
  title  = {Minimal Purifications, Wormhole Geometries, and the Complexity=Action Proposal},
  author = {Ning Bao},
  journal= {arXiv preprint arXiv:1811.03113},
  year   = {2018}
}

Comments

10 pages, 1 figure. Citations added, and minor clarifications in the body

R2 v1 2026-06-23T05:08:14.556Z