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Bit Threads and Holographic Monogamy
Name
220_2019_3510_ReferencePDF.pdf
Size
16.22 MB
Format
Adobe PDF
Checksum (MD5)
a2aed4eb554f208a8cd9f6053620dd1d
Author(s)
Cui, Shawn X
Hayden, Patrick
He, Temple
Headrick, Matthew
Stoica, Bogdan
Walter, Michael
Date Issued
July 6, 2019
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
Abstract
Bit threads provide an alternative description of holographic entanglement, replacing the Ryu–Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We use bit threads to prove the monogamy of mutual information property of holographic entanglement entropies. This is accomplished using the concept of a so-called multicommodity flow, adapted from the network setting, and tools from the theory of convex optimization. Based on the bit thread picture, we conjecture a general ansatz for a holographic state, involving only bipartite and perfect-tensor type entanglement, for any decomposition of the boundary into four regions. We also give new proofs of analogous theorems on networks.
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DOI of Published Version
https://doi.org/10.1007/s00220-019-03510-8
