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math.PR2010★ 2 cited
A concentration inequality and a local law for the sum of two random matrices
Vladislav Kargin
Let H=A+UBU* where A and B are two N-by-N Hermitian matrices and U is a Haar-distributed random unitary matrix, and let μ_H, μ_A, and μ_B be empirical measures of eigenvalues of ma…
math.PR2010★ 8 cited
Bounds for mixing time of quantum walks on finite graphs
Vladislav Kargin
Several inequalities are proved for the mixing time of discrete-time quantum walks on finite graphs. The mixing time is defined differently than in Aharonov, Ambainis, Kempe and Va…