Operator extension of strong subadditivity of entropy

Abstract

We prove an operator inequality that extends strong subadditivity of entropy: after taking a trace, the operator inequality becomes the strong subadditivity of entropy.

5 pages, minor changes

References in corpus (4)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
• Entanglement Entropy of Gapped Phases and Topological Order in Three dimensions
• Determining the structure of real-space entanglement spectrum from approximate conditional independence

Cited by in corpus (9)

• Approximate reversal of quantum Gaussian dynamics
• A lower bound of quantum conditional mutual information
• Remarks on on Kim's Strong Subadditivity Matrix Inequality: Extensions and Equality Conditions
• Determining the structure of real-space entanglement spectrum from approximate conditional independence
• On quantum quasi-relative entropy
• A strengthened monotonicity inequality of quantum relative entropy: A unifying approach via Rényi relative entropy
• A new operator extension of strong subadditivity of quantum entropy
• Recoverability from direct quantum correlations
• Yet Another Proof of the Joint Convexity of Relative Entropy