Theoretical Statistics and Mathematics Unit, ISI Delhi

Extendability and complete extendability of Gaussian states

by K. R. Parthasarathy and Ritabrata Sengupta

Motivated by the notions of $k$-extendability and complete
extendability of the state of a finite level quantum system as
described by Doherty et al (Phys. Rev. A, 69:022308),
we introduce parallel definitions in the context of
Gaussian states and derive necessary and sufficient
conditions for their extendability. It is shown that every
separable Gaussian state is completely extendable but the
converse is still a conjecture. However, the converse is
proved for two mode Gaussian states.

isid/ms/2016/01 [fulltext]

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