2000 character limit reached
Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels (1909.00838v2)
Published 2 Sep 2019 in quant-ph
Abstract: We obtain several analogs of real polar decomposition for even dimensional matrices. In particular, we decompose a non-degenerate matrix as a product of a Hamiltonian and an anti-symplectic matrix and under additional requirements we decompose a matrix as a skew-Hamiltonian and a symplectic matrix. We apply our results to study bosonic Gaussian channels up to inhomogeneous symplectic transforms.
Collections
Sign up for free to add this paper to one or more collections.
