English

Exponential of a Matrix, a Nonlinear Problem and Quantum Gates

Mathematical Physics 2015-01-22 v2 math.MP

Abstract

We describe solutions of the matrix equation exp(z(AIn))=A\exp(z(A-I_n))=A, where zCz \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.

Keywords

Cite

@article{arxiv.1311.2372,
  title  = {Exponential of a Matrix, a Nonlinear Problem and Quantum Gates},
  author = {Willi-Hans Steeb and Yorick Hardy},
  journal= {arXiv preprint arXiv:1311.2372},
  year   = {2015}
}

Comments

one more example added, comments are welcome

R2 v1 2026-06-22T02:04:45.862Z