Ultimate speed limits to the growth of operator complexity
In quantum isolated system, operator growth can be quantified by Krylov complexity. Here, the authors establish a rigorous bound on the Krylov complexity growth rate based on the uncertainty principle and show that the presence of quantum chaos is not strictly necessary to saturation of the bound.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-08-01
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| Series: | Communications Physics |
| Online Access: | https://doi.org/10.1038/s42005-022-00985-1 |