Every finite-dimensional degradable or antidegradable quantum channel has an exponential strong converse: above capacity, all coding schemes have fidelity decaying exponentially in the number of channel uses.
Quantum capacity analysis of multi-level amplitude damping channels
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abstract
The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension $d$. In the special case of $d=3$, by exploiting degradability, data-processing inequalities, and channel isomorphism, we compute the associated quantum and private classical capacities for a rather wide class of maps, extending the set of solvable models known so far. We proceed then to the evaluation of the entanglement assisted, quantum and classical, capacities.
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Sharp Quantum Capacity Thresholds: Exponential Strong Converses for Degradable and Antidegradable Channels
Every finite-dimensional degradable or antidegradable quantum channel has an exponential strong converse: above capacity, all coding schemes have fidelity decaying exponentially in the number of channel uses.