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Creators/Authors contains: "Tan, Xinyu"

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  1. ; ; (, IEEE)
    We construct random walks on simple Lie groups that quickly converge to the Haar measure for all moments up to order t. The spectral gap of this random walk is shown to be Ω(1/t), which coincides with the best previously known bound for a random walk on the permutation group on {0, 1}^n. This implies that the walk gives an ε-approximate unitary t-design. Our simple proof uses quadratic Casimir operators of Lie algebras. 
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  2. ; ; (, Designs, Codes and Cryptography)
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