Exact series formulas for the capacities of the amplitude damping channel

2026-09-28 · arXiv Quantum Physics

arXiv:2609.31609v1 Announce Type: new

Abstract: We derive explicit, absolutely convergent series formulas for the quantum, unassisted classical, and entanglement-assisted classical capacities of the qubit amplitude damping channel, eliminating residual optimizations and implicit roots. We also obtain analytical upper and lower bounds on two-way assisted quantum and private communication capacities by evaluating a balanced-squashing bound and optimizing the reverse coherent information. Our results characterize the optimal input populations, establish convergence and truncation properties, and provide analytical benchmarks for quantum and classical communication over dissipative channels.

原文链接：https://arxiv.org/abs/2609.31609

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