Simplification of additivity conjecture in quantum information theory

Abstract

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. We construct a unital channel for a given channel so that they share the above additivity properties; we can reduce the conjectures for all channels to those for unital channels.

8 pages

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Cited by in corpus (13)

• Unital Quantum Channels - Convex Structure and Revivals of Birkhoff's Theorem
• Simplifying additivity problems using direct sum constructions
• Comments on Hastings' Additivity Counterexamples
• Superadditivity of the Classical Capacity with Limited Entanglement Assistance
• Entanglement of random subspaces via the Hastings bound
• Additivity and Distinguishability of Random Unitary Channels
• Towards a state minimizing the output entropy of a tensor product of random quantum channels
• Some Open Problems in Quantum Information Theory
• The classical capacity of quantum channels with memory
• Capacities of the covariant Pauli channel
• Group-covariant extreme and quasi-extreme channels
• Computational Distinguishability of Quantum Channels
• Regularized maximal fidelity of the generalized Pauli channels