Journal
PHYSICAL REVIEW LETTERS
Volume 127, Issue 16, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.127.160401
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Funding
- DOE ASCR Quantum Testbed Pathfinder program [DE-SC0019040]
- AFOSR MURI
- NSF PFCQC program
- AFOSR
- U.S. Department of Energy [DE-SC0019449]
- ARO MURI
- Princeton Center for Complex Materials, a MRSEC - NSF [DMR 1420541]
- NSF [DGE-1840340]
- Alfred P. Sloan Foundation [FG-2020-13795]
- U.S. Air Force Office of Scientific Research [FA9550-21-1-0195]
- National Institute of Standards and Technology
- DOE ASCR Accelerated Research in Quantum Computing program [DE-SC0020312]
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The Lieb-Robinson theorem establishes finite information propagation velocity in quantum systems on a lattice with nearest-neighbor interactions. In quantum systems with power-law interactions, the speed limits of information propagation have been definitively answered for all exponents a > 2d and spatial dimensions d. Information propagation takes at least time r(min{1,a-2d}) to cover a distance r, with recent state transfer protocols asserting this boundary, concluding a long quest for optimal Lieb-Robinson bounds in quantum information dynamics with power-law interactions.
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 1/r(a) at distance r? Here, we present a definitive answer to this question for all exponents a > 2d and all spatial dimensions d. Schematically, information takes time at least r(min{1,a-2d}) to propagate a distance r. 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.
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