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math-ph2021
Symplectic decomposition from submatrix determinants
Jason L. Pereira, Leonardo Banchi, Stefano Pirandola
An important theorem in Gaussian quantum information tells us that we can diagonalise the covariance matrix of any Gaussian state via a symplectic transformation. Whilst the diagon…
math-ph2012★ 38 cited
Diagonalization of quasi-uniform tridiagonal matrices
Leonardo Banchi, Ruggero Vaia
The task of analytically diagonalizing a tridiagonal matrix can be considerably simplified when a part of the matrix is uniform. Such quasi-uniform matrices occur in several physic…