Exponential of a matrix, a nonlinear problem, and quantum gates
Journal Article
·
· Journal of Mathematical Physics
- International School for Scientific Computing, University of Johannesburg, Auckland Park 2006 (South Africa)
- Department of Mathematical Sciences, University of South Africa, Johannesburg (South Africa)
We describe solutions of the matrix equation exp(z(A − I{sub n})) = A, where z ∈ ℂ. Applications in quantum computing are given. Both normal and non-normal matrices are studied. For normal matrices, the Lambert W-function plays a central role.
- OSTI ID:
- 22403084
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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