Addendum to computational complexity and black hole horizons. (English) Zbl 1429.81020
Summary: In this addendum to the author’s paper [Fortschr. Phys. 64, No. 1, 24–43 (2016; Zbl 1429.81019)] 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.
[See also the author, Fortschr. Phys. 64, No. 1, 49–71 (2016; Zbl 1429.81021); 64, No. 1, 72–83 (2016; Zbl 1429.81022); 64, No. 1, 84–91 (2016; Zbl 1429.81023)].
[See also the author, Fortschr. Phys. 64, No. 1, 49–71 (2016; Zbl 1429.81021); 64, No. 1, 72–83 (2016; Zbl 1429.81022); 64, No. 1, 84–91 (2016; Zbl 1429.81023)].
MSC:
| 81P68 | Quantum computation |
| 68Q12 | Quantum algorithms and complexity in the theory of computing |
| 83C57 | Black holes |
Keywords:
wormholesReferences:
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