From log-determinant inequalities to Gaussian entanglement via recoverability theory
Many determinantal inequalities for positive definite block matrices are consequences of general entropy inequalities, specialised to Gaussian distributed vectors with prescribed covariances. In particular, strong subadditivity (SSA) yields ln det VAC + ln det VBC − ln det VABC − ln det VC ≥ 0 for a...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
IEEE
2017
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| Online Access: | https://eprints.nottingham.ac.uk/47043/ |