Abstract
As one of the results in this article, I stated a connection between bulk causal structure and boundary entanglement in the AdS/CFT correspondence.
Highlights
Theorem 7 of the article followed by arguing that the boundary CFT needed a mutual information of order 1/G between R1 and R2 for the boundary CFT to reproduce processes that can occur in the bulk
We had to argue that the degrees of freedom G1 and G2 sitting in the spacetime region X1 and X2 did not assist in realizing the bulk process in the boundary
We handled this by exploiting the structure of quantum Markov states
Summary
The article defines two in-regions Ri, defined in equation 3.6. These two regions are spacelike separated and can be extended to a complete Cauchy slice of the boundary CFT. As one of the results in this article, I stated a connection between bulk causal structure and boundary entanglement in the AdS/CFT correspondence. This connection followed by relating results on the necessity of entanglement to perform certain distributed computations non-locally. At a technical level bringing these necessity of entanglement results in contact with AdS/CFT is challenging, and an error occurred in the published article.
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