On the strong superadditivity of entanglement of formation -- Conditions and examples

Abstract

From Shor's [Comm. Math. Phys. 246(3), 453 (2004)] and Hastings's [Nature Phys. 5, 255 (2009)] studies, the strong superadditivity of entanglement of formation is, in general, not true. In this paper, we provide conditions for strong superadditivity of entanglement of formation, and consequently identify classes of states that are strongly superadditive.

arXiv comment3+epsilon pages, 2 figures

References in corpus (16)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• A computable measure of entanglement
• Entanglement of a Pair of Quantum Bits
• Superadditivity of communication capacity using entangled inputs
• Entanglement Measures under Symmetry
• The asymptotic entanglement cost of preparing a quantum state
• Entanglement cost of mixed states
• On some additivity problems in quantum information theory
• Continuity bounds for entanglement
• Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
• Strong superadditivity of the entanglement of formation follows from its additivity
• Relaxation Method For Calculating Quantum Entanglement
• A note on quantum entropy inequalities and channel capacities
• Activation of Nonmonogamous Multipartite Quantum States