A note on quantum entropy inequalities and channel capacities

Abstract

Quantum entropy inequalities are studied. Some quantum entropy inequalities are obtained by several methods. For entanglement breaking channel, we show that the entanglement-assisted classical capacity is upper bounded by $\log d$. A relationship between entanglement-assisted and one-shot unassisted capacities is obtained. This relationship shows the entanglement-assisted channel capacity is upper bounded by the sum of $\log d$ and the one-shot unassisted classical capacity.

Revtex, 7 pages, the relation between entanglement-assisted and one-shot unassisted capacities is added

References in corpus (8)

• Additivity for a class of unital qubit channels
• Inequalities for Quantum Entropy: A Review with Conditions for Equality
• Additivity of the Classical Capacity of Entanglement-Breaking Quantum Channels
• Entanglement required in achieving entanglement-assisted channel capacities
• On entanglement-assisted classical capacity
• Remarks on the classical capacity of quantum channel
• Additivity of entanglement of formation for some special cases
• Entanglement Breaking Channels

Cited by in corpus (5)

• On Conjectures of Classical and Quantum Correlations in Bipartite States
• Discrete squeezed states for finite-dimensional spaces
• Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals
• Remarks on entanglement assisted classical capacity
• On the strong superadditivity of entanglement of formation -- Conditions and examples