Addendum to computational complexity and black hole horizons

By L. Susskind. 2014

296 citations recorded by the source corpus.

In this addendum to [arXiv:1402.5674] two points are discussed. In the first additional evidence is provided for a dual connection between the geometric length of an Einstein‐Rosen bridge and the computational complexity of the quantum state of the dual CFT's. The relation between growth of complexity and Page's “Extreme Cosmic Censorship” principle is also remarked on. The second point involves a gedanken experiment in which Alice measures a complete set of commuting observables at her end of an Einstein‐Rosen bridge is discussed. An apparent paradox is resolved by appealing to the properties of GHZ tripartite entanglement.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8c130a975a803e7cb4c38aabb7832dd094ad40d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. R. Myers
2. L. Susskind
3. Daniel A. Roberts
4. B. Yoshida
5. Dean Carmi
6. Shira Chapman
7. H. Marrochio
8. Adam R. Brown

In Nuclear and High Energy Physics

1. R. Myers
2. Shira Chapman
3. H. Marrochio
4. Daniel A. Roberts
5. Dean Carmi
6. L. Susskind
7. B. Yoshida
8. Adam R. Brown

In Statistical and Nonlinear Physics

1. R. Myers
2. Shira Chapman
3. H. Marrochio
4. Dean Carmi
5. B. Yoshida
6. Daniel A. Roberts
7. L. Susskind
8. D. Stanford

Citations in the corpus

• Comments on holographic complexity (2016, methodology): “These coefficients also contain dimensionless parameters characterizing the underlying CFT, e.g., CT ∼ Ld−1/GN in the present case where the bulk is described by Einstein gravity.11 The leading divergence appearing with the CV duality is proportional to the volume of the boundary time slice, i.e., C”
• Localized shocks (2014, background): “It has been conjectured that these quantities are related to the geometry behind the horizon [16, 18].”
• Holographic Complexity Equals Bulk Action? (2015, background): “One of the few holographic ideas about the black hole interior is that its growth is dual to the growth of quantum complexity [1, 2].”
• Complexity, action, and black holes (2015, background): “The complexity of the plasma dual to the black hole is also expected to increase long after local thermal equilibrium is reached, so it was proposed that the two growths are dual descriptions of the same phenomenon [4,5].”
• Chaos and complexity by design (2016, background): “[72] L. Susskind, “Computational Complexity and Black Hole Horizons,” Fortsch.”