Schur Complement Inequalities for Covariance Matrices and Monogamy of Quantum Correlations

Ludovico Lami, Christoph Hirche, Gerardo Adesso, Andreas Winter

Research output: Contribution to journalArticleResearchpeer-review

24 Citations (Scopus)

Abstract

© 2016 American Physical Society. We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantum covariance matrices, including strong subadditivity. This allows us to prove general results on the monogamy of entanglement and steering quantifiers in continuous variable systems with an arbitrary number of modes per party. A powerful hierarchical relation for correlation measures based on the log-determinant of covariance matrices is further established for all Gaussian states, which has no counterpart among quantities based on the conventional von Neumann entropy.
Original languageEnglish
Article number220502
JournalPhysical Review Letters
Volume117
Issue number22
DOIs
Publication statusPublished - 23 Nov 2016

Fingerprint Dive into the research topics of 'Schur Complement Inequalities for Covariance Matrices and Monogamy of Quantum Correlations'. Together they form a unique fingerprint.

Cite this