Resource theory of quantum scrambling
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 18, 2023
- Source ID
- 10.1073/pnas.2217031120
Entities
People
- Arthur Jaffe
- Kaifeng Bu
- Roy J. Garcia
Organizations
- Air Force Office of Scientific Research
- Harvard University
- National Science Foundation