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Elementary Proofs of Unitary Matrix Theorems by zoegqst is a document available to read on EtoBox.
The paper presents elementary proofs of two theorems regarding the arguments of eigenvalues of the product of two unitary matrices, building on previous work by Childs et al. and Chau. The authors demonstrate that their proofs provide clear necessary and sufficient conditions for equalities and can be generalized to infinite-dimensional unitary operators. The results are significant in the field of spectral variation theory and contribute to the understanding of eigenvalue behavior in quantum mechanics.
- Author
- zoegqst
- Language
- EN