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The Lieb-Robinson theorem states that information propagates with a finite velocity in quantum systems on a lattice with nearest-neighbor interactions.
1905
Earlier work this paper cites.
1905
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, The Finite Group Velocity of Quantum Spin Systems, Comm. Math. Phys. 28
1972
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M. B. Hastings and T. Koma, Spectral Gap and Exponential Decay of Correlations, Comm. Math. Phys. 265
2006
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2006
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B. Nachtergaele and R. Sims, Lieb-Robinson Bounds and the Exponential Clustering Theorem, Comm. Math. Phys. 265
2006
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S. Bravyi, M. B. Hastings, and F. Verstraete, Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order, Phys. Rev. Lett. 97
2006
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M. B. Hastings and T. Koma, Spectral Gap and Exponential Decay of Correlations, Comm. Math. Phys. 265
2006
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S. Bravyi, M. B. Hastings, and F. Verstraete, Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order, Phys. Rev. Lett. 97
2006
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B. Nachtergaele, H. Raz, B. Schlein, and R. Sims, Lieb-robinson bounds for harmonic and anharmonic lattice systems, Comm. Math. Phys. 286
2009
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2009
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2010
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I. Prémont-Schwarz, A. Hamma, I. Klich, and F. Markopoulou-Kalamara, Lieb-robinson bounds for commutator-bounded operators, Phys. Rev. A 81
2010
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I. Prémont-Schwarz and J. Hnybida, Lieb-robinson bounds on the speed of information propagation, Phys. Rev. A 81
N. M. Linke, D. Maslov, M. Roetteler, S. Debnath, C. Figgatt, K. A. Landsman, K. Wright, and C. Monroe, Experimental comparison of two quantum computing architectures, Proc. Natl. Acad. Sci. 114
2017
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A. Deshpande, B. Fefferman, M. C. Tran, M. Foss-Feig, and A. V. Gorshkov, Dynamical Phase Transitions in Sampling Complexity, Phys. Rev. Lett. 121
2018
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K. A. Landsman, C. Figgatt, T. Schuster, N. M. Linke, B. Yoshida, N. Y. Yao, and C. Monroe, Verified quantum information scrambling, Nature 567
2019
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M. C. Tran, A. Y. Guo, Y. Su, J. R. Garrison, Z. Eldredge, M. Foss-Feig, A. M. Childs, and A. V. Gorshkov, Locality and Digital Quantum Simulation of Power-Law Interactions, Phys. Rev. X 9
2019
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2010
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Z.-X. Gong, M. Foss-Feig, S. Michalakis, and A. V. Gorshkov, Persistence of Locality in Systems With Power-Law Interactions, Phys. Rev. Lett. 113
2014
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M. Foss-Feig, Z.-X. Gong, C. W. Clark, and A. V. Gorshkov, Nearly Linear Light Cones in Long-Range Interacting Quantum Systems, Phys. Rev. Lett. 114
2015
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D.-M. Storch, M. V. D. Worm, and M. Kastner, Interplay of Soundcone and Supersonic Propagation in Lattice Models With Power Law Interactions, New J. Phys. 17
2015
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M. Foss-Feig, Z.-X. Gong, C. W. Clark, and A. V. Gorshkov, Nearly Linear Light Cones in Long-Range Interacting Quantum Systems, Phys. Rev. Lett. 114
2015
Cited alongside, same era.
2016
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C.-F. Chen and A. Lucas, Finite speed of quantum scrambling with long range interactions, Phys. Rev. Lett. 123
Cited in the paper.
T. Kuwahara and K. Saito, Strictly linear light cones in long-range interacting systems of arbitrary dimensions, Phys. Rev. X 10
Cited in the paper.
2019
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D. V. Else, F. Machado, C. Nayak, and N. Y. Yao, Improved lieb-robinson bound for many-body hamiltonians with power-law interactions, Phys. Rev. A 101
2020
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M. C. Tran, C.-F. Chen, A. Ehrenberg, A. Y. Guo, A. Deshpande, Y. Hong, Z.-X. Gong, A. V. Gorshkov, and A. Lucas, Hierarchy of Linear Light Cones with Long-Range Interactions, Phys. Rev. X 10
2020
Later among the works it cites.
M. C. Tran, C.-F. Chen, A. Ehrenberg, A. Y. Guo, A. Deshpande, Y. Hong, Z.-X. Gong, A. V. Gorshkov, and A. Lucas, Hierarchy of Linear Light Cones with Long-Range Interactions, Phys. Rev. X 10
2020
Later among the works it cites.
A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Theory of trotter error with commutator scaling, Phys. Rev. X 11
2021
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