Optimized correlation measures in holography
Abstract
We consider a class of correlation measures for quantum states called optimized correlation measures defined as a minimization of a linear combination of von Neumann entropies over purifications of a given state. Examples include the entanglement of purification EP and squashed entanglement Esq. We show that when evaluating such measures on "nice" holographic states in the large-N limit, the optimal purification has a semiclassical geometric dual. We then apply this result to confirm several holographic dual proposals, including the n -party squashed entanglement. Moreover, our result suggests two new techniques for determining holographic duals: holographic entropy inequalities and direct optimization of the dual geometry.
- Publication:
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Physical Review D
- Pub Date:
- March 2020
- DOI:
- 10.1103/PhysRevD.101.066009
- arXiv:
- arXiv:1909.09334
- Bibcode:
- 2020PhRvD.101f6009C
- Keywords:
-
- High Energy Physics - Theory;
- Quantum Physics
- E-Print:
- 11 pages, expanded discussion on assumptions and connections to other work, mostly matches version to be published