Abstract
The Lieb-Robinson theorem states that information propagates with a finite velocity in quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits on information propagation in quantum systems with power-law interactions, which decay as at distance ? Here, we present a definitive answer to this question for all exponents and all spatial dimensions . Schematically, information takes time at least to propagate a distance . As recent state transfer protocols saturate this bound, our work closes a decades-long hunt for optimal Lieb-Robinson bounds on quantum information dynamics with power-law interactions.
- Received 9 April 2021
- Revised 23 August 2021
- Accepted 9 September 2021
DOI:https://doi.org/10.1103/PhysRevLett.127.160401
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