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Entanglement Wedges from Information Metric in Conformal Field Theories · Around

2019

Entanglement Wedges from Information Metric in Conformal Field Theories

Suzuki, Yuki, Takayanagi, Tadashi, Umemoto, Koji

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We present a new method of deriving the geometry of entanglement wedges in holography directly from conformal field theories (CFTs).

We analyze an information metric called the Bures metric of reduced density matrices for locally excited states.
This measures distinguishability of states with different points excited.
For a subsystem given by an interval, we precisely reproduce the expected entanglement wedge for two dimensional holographic CFTs from the Bures metric, which turns out to be proportional to the AdS metric on a time slice.

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2019

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