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

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

2008-12-15

arxiv.org/abs/0812.2805v1

Physics

Quantum Physics

10 Pages

Scientific paper

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.

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