振幅阻尼信道容量的精确级数公式
Exact series formulas for the capacities of the amplitude damping channel
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中文总结 AI 辅助
本文推导了振幅阻尼信道各容量的精确级数公式，并给出双向辅助通信容量的解析界，为耗散信道通信提供了理论基准。
中文摘要 AI 辅助
我们推导了量子比特振幅阻尼信道的量子容量、无辅助经典容量和纠缠辅助经典容量的显式绝对收敛级数公式，消除了残余优化和隐式根。我们还通过评估平衡压缩界并优化反向相干信息，获得了双向辅助量子通信容量和私密通信容量的解析上下界。我们的结果刻画了最优输入布居数，建立了收敛性和截断性质，并为耗散信道上的量子与经典通信提供了解析基准。
英文摘要
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.
发表机构
- University of York（约克大学）
机构由 AI 辅助整理，请以论文原文为准。
