Compatibility conditions on local and global spectra for n-mode Gaussian states

2008/12/15 by J. Solomon Ivan, R. Simon, Ivan, J. Solomon +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0812.2805

10 Pages

arxiv created 2008/12/15 · arxiv updated 2009/12/01

Abstract

Compatibility conditions between the (global) spectrum of an n-mode Gaussian state and the spectra of the individual modes are presented, making optimal use of beam splitter and (two-mode) squeezing transformations. An unexpected bye-product of our elementary approach is the result that every two-mode Gaussian state is uniquely determined, modulo local transformations, by its global spectrum and local spectra -- a property shared not even by a pair of qubits.

Related

• Gaussian states and operations -- a quick reference
• Structure in Multimode Squeezing: A Generalised Bloch-Messiah Reduction
• The stellar decomposition of Gaussian quantum states
• Multi-mode Gaussian State Analysis with one Bounded Photon Counter
• Tutorial Notes on One-Party and Two-Party Gaussian States