Exponential of a Matrix, a Nonlinear Problem and Quantum Gates
classification
🧮 math-ph
math.MP
keywords
matricesmatrixnormalquantumapplicationscentralcomputingdescribe
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We describe solutions of the matrix equation $\exp(z(A-I_n))=A$, where $z \in {\mathbb C}$. Applications in quantum computing are given. Both normal and nonnormal matrices are studied. For normal matrices, the Lambert W-function plays a central role.
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