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Extremal spacings of random unitary matrices
Extremal spacings random unitary matrices Mathematical Physics
2012/4/16
Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Induced Metric And Matrix Inequalities On Unitary Matrices
eigenvalues, metric, singular values, quantum information science, quantum mechanics, unitary matrices
2011/8/25
Abstract: We show that any symmetric norm on $\bR^n$ induces a metric on U(n), the group of all $n\times n$ unitary matrices. Using the same technique, we prove an inequality concerning the eigenvalue...
Oracular Approximation of Quantum Multiplexors and Diagonal Unitary Matrices
Oracular Approximation Quantum Multiplexors Diagonal Unitary Matrices
2010/4/9
We give a new quantum circuit approximation of quantum multiplexors based on the idea of complexity theory oracles. As an added bonus, our multiplexor approximation immediately gives a quantum circuit...