en.wikipedia.org/wiki/Lieb-Robinson_bounds

The Lieb-Robinson bound is a theoretical upper limit on the speed at which information can ...... Jump up to: Haah, Jeongwan; Hastings, Matthew B.; Kothari, Robin; Low, Guang Hao (2018-01-11). "Quantum algorithm for simulating real time ...

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We consider the Laplacian with attractive Robin boundary conditions, \begin{ aligned} Q^\Omega _\alpha u=-\Delta u, \quad \dfrac{\partial u}{\partial n}=\alpha ... arxiv.org/abs/1904.08914 Apr 18, 2019 ... We lower-bound Laurent polynomial degree using two methods: a new " explosion argument" and a new ... From: Robin Kothari [view email] www.semanticscholar.org/paper/Bounds-and-monotonicity-for-the-generalized-Robin-Giorgi-Smits/0f4da774526e5985b396dc6a60709c87a913e297 Abstract.We consider the principal eigenvalue λ 1Ω(α) corresponding to Δu = λ (α ) u in\Omega, \frac{\partial u}{\partial v} = \alpha u  on ∂Ω, with α a fixed ...

arxiv.org/abs/1807.06256

Jul 17, 2018 ... We prove these lower bounds using a quantum query algorithm for the combinatorial group testing problem. ... From: Robin Kothari [view email]