A Decoupling Approach to the Quantum Capacity
A Decoupling Approach to the Quantum Capacity
复制标题
量子容量的解耦方法
DOI：
10.1142/s1230161208000043
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Jon Yard
中科院分区：
文献类型：
--
作者：
P. Hayden;M. Horodecki;A. Winter;Jon Yard
我们给出了一个简短的证明，证明了相干信息是
通过嘈杂的量子通道传输量子信息。我们的方法
是通过执行单位协变射影测量来产生随机码
在张量幂状态的一个典型的子空间上。我们证明了这一点，前提是每个人的级别
测量运算符足够小时，传输的数据将以很高的概率，
与渠道环境脱钩。我们还表明，我们的建筑将通向
平均输入接近产品状态并勾勒出修改的随机码
产生最大纠缠码的酉不变性集合。
We give a short proof that the coherent information is an achievable rate for
the transmission of quantum information through a noisy quantum channel. Our method
is to produce random codes by performing a unitarily covariant projective measurement
on a typical subspace of a tensor power state. We show that, provided the rank of each
measurement operator is sufficiently small, the transmitted data will, with high probability,
be decoupled from the channel environment. We also show that our construction leads to
random codes whose average input is close to a product state and outline a modification
yielding unitarily invariant ensembles of maximally entangled codes.