@article { , title = {Strong subadditivity for log-determinant of covariance matrices and its applications}, abstract = {We prove that the log-determinant of the covariance matrix obeys the strong subadditivity inequality for arbitrary tripartite states of multimode continuous variable quantum systems. This establishes general limitations on the distribution of information encoded in the second moments of canonically conjugate operators. The inequality is shown to be stronger than the conventional strong subadditivity inequality for von Neumann entropy in a class of pure tripartite Gaussian states. We finally show that such an inequality implies a strict monogamy-type constraint for joint Einstein-Podolsky-Rosen steerability of single modes by Gaussian measurements performed on multiple groups of modes.}, doi = {10.1088/1751-8113/49/34/34LT02}, eissn = {1751-8121}, issn = {1751-8113}, issue = {34}, journal = {Journal of Physics A: Mathematical and Theoretical}, note = {12 months embargo. OL 24.02.2017 REF\_eligibility comment: AAM deposited in arXiv 12/07/2016 (8 days after acceptance): https://arxiv.org/abs/1601.03226 JCW 25/02/2017}, publicationstatus = {Published}, publisher = {IOP Publishing}, url = {https://nottingham-repository.worktribe.com/output/799779}, volume = {49}, year = {2016}, author = {Adesso, Gerardo and Simon, R.} }