An Infinite Sequence of Additive Channels: the Classical Capacity of Cloning Channels

Abstract

We introduce an infinite sequence of quantum channels for which the Holevo capacity is additive. The channel series is closely related to the quantum channels arising from universal quantum cloning machines. The additivity proof is motivated by a special property the studied channels enjoy: the property of conjugate degradability. As a consequence of the announced proof, we also provide an easy way of proving the additivity of the Holevo capacity for the original Unruh channel for which the quantum capacity is already known. Consequently, we present not only an infinite series of finite-dimensional channels but also a nontrivial example of an infinite-dimensional channel for which the classical and quantum channel capacities are easily calculable.

Annoying typo fixed

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Cited by in corpus (24)

• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy
• A Survey on Quantum Channel Capacities
• Quantum Cloning Machines and the Applications
• Quantum fisher information in noninertial frames
• Trade-off capacities of the quantum Hadamard channels
• Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
• On the Second-Order Asymptotics for Entanglement-Assisted Communication
• Quantum trade-off coding for bosonic communication
• Conjugate Degradability and the Quantum Capacity of Cloning Channels
• The quantum dynamic capacity formula of a quantum channel
• Public and private resource trade-offs for a quantum channel
• Transmitting qubits through relativistic fields
• Polar codes for degradable quantum channels
• The capacity of black holes to transmit quantum information
• Hadamard quantum broadcast channels
• Information-theoretic limitations on approximate quantum cloning and broadcasting
• Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States
• Black holes as bosonic Gaussian channels
• The Structure and Quantum Capacity of a Partially Degradable Quantum Channel
• Partially Coherent Direct Sum Channels
• Trade-off coding for universal qudit cloners motivated by the Unruh effect
• Quasi-Superactivation of Classical Capacity of Zero-Capacity Quantum Channels
• The pitfalls of deciding whether a quantum channel is (conjugate) degradable and how to avoid them
• Stimulated Emission of Radiation and the Black Hole Information Problem