正交基
经典容量
信道容量
熵(时间箭头)
数学
产品(数学)
频道(广播)
量子信道
猜想
组合数学
基础(线性代数)
规范(哲学)
信息论
量子
离散数学
量子力学
物理
量子信息
计算机科学
编码(社会科学)
电信
统计
几何学
政治学
法学
标识
DOI:10.1109/tit.2002.806153
摘要
The information-carrying capacity of the d-dimensional depolarizing channel is computed. It is shown that this capacity can be achieved by encoding messages as products of pure states belonging to an orthonormal basis of the state space, and using measurements which are products of projections onto this same orthonormal basis. In other words, neither entangled signal states nor entangled measurements give any advantage for information capacity. The result follows from an additivity theorem for the product channel /spl Delta//spl ominus//spl Psi/, where /spl Delta/ is the depolarizing channel and /spl Psi/ is a completely arbitrary channel. We establish the Amosov-Holevo-Werner(see Probl. Inform. Transm., vol.36, p.305-313, 2000) p-norm conjecture for this product channel for all p/spl ges/1, and deduce from this the additivity of the minimal entropy and of the Holevo quantity /spl chi//sup */.
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