Breaking Gaussian incompatibility on continuous variable quantum systems

Teiko Heinosaari, Jukka Kiukas, Jussi Schultz

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Abstract

We characterise Gaussian quantum channels that are Gaussian incompatibility breaking, that is, transform every set of Gaussian measurements into a set obtainable from a joint Gaussian observable via Gaussian postprocessing. Such channels represent local noise which renders measurements useless for Gaussian EPR-steering, providing the appropriate generalisation of entanglement breaking channels for this scenario. Understanding the structure of Gaussian incompatibility breaking channels contributes to the resource theory of noisy continuous variable quantum information protocols.
Original languageEnglish
Article number082202
JournalJournal of Mathematical Physics
Volume56
Issue number8
Early online date06 Aug 2015
DOIs
Publication statusPublished - 06 Aug 2015

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