Addendum to computational complexity and black hole horizons
Addendum to computational complexity and black hole horizons
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DOI：
10.1002/prop.201500093
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发表时间：
2014-03
期刊：
影响因子：
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通讯作者：
L. Susskind
中科院分区：
文献类型：
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作者：
L. Susskind
在这份关于[arxiv：1402.5674]的增编中讨论了两点。在第一个补充证据中，提供了爱因斯坦-罗森桥的几何长度与对偶CFT的量子态的计算复杂性之间的对偶联系，并评论了复杂性的增长与Page的“极端宇宙审查”原理之间的关系。第二点涉及Gedanken实验，在Gedanken实验中，爱丽丝在爱因斯坦-罗森桥的一端测量了一组完整的通勤可观测数据。利用GHz三体纠缠的性质解决了一个明显的悖论。
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.