54 citations · 115 across the 5 of their papers we have counts for
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A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps
Martin Idel
Given a nonnegative matrix , can you find diagonal matrices such that is doubly stochastic? The answer to this question is known as Sinkhorn's theorem. It h…
Perturbation Bounds for Williamson's Symplectic Normal Form
Martin Idel, Sebatian Soto Gaona, Michael M. Wolf
Given a real-valued positive semidefinite matrix, Williamson proved that it can be diagonalised using symplectic matrices. The corresponding diagonal values are known as the symple…
On quantum additive Gaussian noise channels
Martin Idel, Robert Koenig
We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form…
An operational measure for squeezing
Martin Idel, Daniel Lercher, Michael M. Wolf
We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifi…