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Three Lectures on Complexity and Black Holes
Leonard Susskind
Given at PiTP 2018 summer program entitled "From Qubits to Spacetime." The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, an…
The Case of the Missing Gates: Complexity of Jackiw-Teitelboim Gravity
Adam R. Brown, Hrant Gharibyan, Henry W. Lin +3
The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate o…
PiTP Lectures on Complexity and Black Holes
Leonard Susskind
This is the first of three PiTP lectures on complexity and its role in black hole physics.
Entanglement Holonomies
Bartlomiej Czech, Lampros Lamprou, Leonard Susskind
We introduce a quantum notion of parallel transport between subsystems of a quantum state whose holonomies characterize the structure of entanglement. In AdS/CFT, entanglement holo…
Falling Toward Charged Black Holes
Adam R. Brown, Hrant Gharibyan, Alexandre Streicher +3
The growth of the "size" of operators is an important diagnostic of quantum chaos. In arXiv:1802.01198 [hep-th] it was conjectured that the holographic dual of the size is proporti…
Black Holes and Complexity Classes
Leonard Susskind
It is not known what the limitations are on using quantum computation to speed up classical computation. An example would be the power to speed up PSPACE-complete computations. It…