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The Lieb-Robinson (LR) bound rigorously shows that in quantum systems with short-range interactions, the maximum amount of information that travels beyond an effective "light cone" decays exponentially with distance from the light-cone front, which expands at finite velocity.
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2009
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2009
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2010
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2010
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Sergey Bravyi, Matthew B Hastings, and Spyridon Michalakis, “Topological quantum order: stability under local perturbations,” J. Math. Phys. 51
2010
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2010
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2015
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2016
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2016
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2016
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2016
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2016
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2017
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Takuro Matsuta, Tohru Koma, and Shu Nakamura, “Improving the Lieb-Robinson bound for long-range interactions,” Ann. Henri Poincaré 18
2017
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Minh Cong Tran, James R Garrison, Zhe-Xuan Gong, and Alexey V Gorshkov, “Lieb-Robinson bounds on n n -partite connected correlation functions,” Phys. Rev. A 96
2017
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2017
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John W Negele, Quantum many-particle systems (CRC Press, 2018)
2018
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Minh C Tran, Andrew Y Guo, Yuan Su, James R Garrison, Zachary Eldredge, Michael Foss-Feig, Andrew M Childs, and Alexey V Gorshkov, “Locality and digital quantum simulation of power-law interactions,” Phys. Rev. X 9
2019
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Ryan Sweke, Jens Eisert, and Michael Kastner, “Lieb–robinson bounds for open quantum systems with long-ranged interactions,” J. Phys. A 52
2019
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2019
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Rahul M Nandkishore and Michael Hermele, “Fractons,” Annu. Rev. Condens. Matter Phys. 10
2019
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Stefano Chessa and Vittorio Giovannetti, “Time-polynomial Lieb-Robinson bounds for finite-range spin-network models,” Phys. Rev. A 100
2019
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Dominic V Else, Francisco Machado, Chetan Nayak, and Norman Y Yao, “Improved Lieb-Robinson bound for many-body hamiltonians with power-law interactions,” Phys. Rev. A 101
2020
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Andrew Y Guo, Minh C Tran, Andrew M Childs, Alexey V Gorshkov, and Zhe-Xuan Gong, “Signaling and scrambling with strongly long-range interactions,” Phys. Rev. A 102
2020
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Tomotaka Kuwahara and Keiji Saito, “Strictly linear light cones in long-range interacting systems of arbitrary dimensions,” Phys. Rev. X 10
2020
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