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What is Operator Spreading in Quantum Circuits about?

This document discusses the spreading of operators in random unitary circuits, providing exact results and coarse-grained models for both 1+1D and higher dimensions. It demonstrates that the out-of-time-order correlator (OTOC) satisfies a biased diffusion equation in 1+1D, with the front of the OTOC broadening diffusively, while in higher dimensions, the OTOC can be related to classical droplet growth problems. The findings suggest universal scaling forms for operator spreading and entanglement growth, appl

Author

vyumax666

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EN