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

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Summary

Introduction

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.

Results
Conclusion
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