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- W3100993317 abstract "Abstract Different fields of physics characterize differently how much two quantum operations disagree: quantum information theory features uncertainty relations cast in terms of entropies. The higher an uncertainty bound, the less compatible the operations. In condensed matter and high-energy physics, initially localized, far-apart operators come to disagree as entanglement spreads through a quantum many-body system. This spread, called “scrambling,” is quantified with the out-of-time-ordered correlator (OTOC). We unite these two measures of operation disagreement by proving entropic uncertainty relations for scrambling. The uncertainty bound depends on the quasiprobability (the nonclassical generalization of a probability) known to average to the OTOC. The quasiprobability strengthens the uncertainty bound, we find, when a spin chain scrambles in numerical simulations. Hence our entropic uncertainty relations reflect the same incompatibility as scrambling, uniting two fields’ notions of quantum-operation disagreement." @default.
- W3100993317 created "2020-11-23" @default.
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- W3100993317 date "2019-08-07" @default.
- W3100993317 modified "2023-10-16" @default.
- W3100993317 title "Entropic uncertainty relations for quantum information scrambling" @default.
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- W3100993317 doi "https://doi.org/10.1038/s42005-019-0179-8" @default.
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