Resource theory of quantum scrambling
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Updated: Aug 2, 2025

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Published on: September 8, 2023
Roy J Garcia1, Kaifeng Bu1, Arthur Jaffe1
1Department of Physics, Harvard University, Cambridge, MA 02138.
Abstract:
Quantum chaos has become a cornerstone of physics through its many applications. One trademark of quantum chaotic systems is the spread of local quantum information, which physicists call scrambling. In this work, we introduce a mathematical definition of scrambling and a resource theory to measure it. We also describe two applications of this theory. First, we use our resource theory to provide a bound on magic, a potential source of quantum computational advantage, which can be efficiently measured in experiment. Second, we also show that scrambling resources bound the success of Yoshida's black hole decoding protocol.
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