a simple constructive proof of Simultaneous diagonalization theorem in quantum computing. Firstly,we prove that $AB=BA \Leftrightarrow MM^\dagger=M^\dagger M$: $MM ...
Exploiting Commutativity Condition for CP Decomposition Via Approximate Simultaneous Diagonalization
Abstract: In this paper, we propose a novel strategy which utilizes an inherent algebraic property of simultaneously diagonalizable matrix tuples, i.e., commutativity, for both (i) reducing ...
Applied Linear Algebra. Contribute to UBCMath/MATH307 development by creating an account on GitHub.
Let A be a complex diagonalizable matrix with two distinct nonzero eigenvalues λ and μ, the Yang-Baxter-like matrix equation AXA = XAX is reconsidered. We correct and improve the results in Shen et al ...
Department of Cyber-Physical Systems, Clark Atlanta University, Atlanta, GA, USA. where P is some reflection (symmetric signed permutation) matrix. Like U, the generalized reflexive matrices A arise ...
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