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I have added the following commentary. What do you think:
This idea may usefully be compared – and maybe is in parts a way of turning into prose – the Ryu-Takayanagi formula (which has a more well-defined content is a theorem in a class of toy examples), which equates
with
For more on this see at holographic entanglement entropy.
I have further expanded (here) on the relation to the Ryu-Takayanagi formula, pointing out how the Majorana dimer code model of JGPE 19 gives a yet more concrete theorem resembling the “ER = EPR” slogan: They show that the entanglement entropy in a holographic tensor network model is encoded entirely by the underlying chord diagram, where each chord reflects two things at once:
(ER) an entangled pair of qbits at their endpoints on the boundary
(EPR) a geodesic through the hyperbolic bulk.
In the discussion of understanding “ER=EPR” as being about the RT-formula, I have added this remark:
A precursor to this picture is the “bit-thread”-interpretation of entanglement entropy due to Freedman & Headrick 16 (notice the use of “EPR pair” in their Figure 4.)
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