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Article overview
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Information-theoretic Hardness of Out-of-time-order Correlators | | Jordan Cotler
; Thomas Schuster
; Masoud Mohseni
; | | Date: |
3 Aug 2022 | | Abstract: | We establish that there are properties of quantum many-body dynamics which
are efficiently learnable if we are given access to out-of-time-order
correlators (OTOCs), but which require exponentially many operations in the
system size if we can only measure time-ordered correlators. This implies that
any experimental protocol which reconstructs OTOCs solely from time-ordered
correlators must be, in certain cases, exponentially inefficient. Our proofs
leverage and generalize recent techniques in quantum learning theory. Along the
way, we elucidate a general definition of time-ordered versus out-of-time-order
experimental measurement protocols, which can be considered as classes of
adaptive quantum learning algorithms. Moreover, our results provide a
theoretical foundation for novel applications of OTOCs in quantum simulations. | | Source: | arXiv, 2208.02256 | | Services: | Forum | Review | PDF | Favorites | |
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