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math-ph2022★ 1 cited
Quantitative approach to Grover's quantum walk on graphs
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
In this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graph…
math-ph2014
Heat kernels on 2d Liouville quantum gravity: a numerical study
Grigory Bonik, Joe P. Chen, Alexander Teplyaev
We numerically compute the heat kernel on a square lattice torus equipped with the measure corresponding to Liouville quantum gravity (LQG). From the on-diagonal heat kernel we ver…