Exact solution for the quantum and private capacities of bosonic dephasing channels
Exact solution for the quantum and private capacities of bosonic dephasing channels
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DOI：
10.1038/s41566-023-01190-4
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发表时间：
2023-04-06
期刊：
影响因子：
35
通讯作者：
Wilde, Mark M.
中科院分区：
文献类型：
--
作者：
Lami, Ludovico;Wilde, Mark M.
噪声量子通道的容量捕获了量子通信线路上信息传输的最终速率，而量子容量在确定容错量子计算平台的开销方面起着关键作用。对于一类关键的非高斯通道（玻色相移通道），玻色系统中的这些能力缺乏封闭公式，玻色相移通道用于对影响超导电路和光纤通信通道的噪声进行建模。在这里，我们提供了所有玻色相移通道的量子、私有、双向辅助量子和密钥协商能力的精确计算。我们证明它们等于通道底层分布相对于均匀分布的相对熵，解决了十多年前最初提出的问题。提供了玻色相移通道的量子和私有能力的精确解决方案。作者证明这些容量等于通道底层分布相对于均匀分布的相对熵。
The capacities of noisy quantum channels capture the ultimate rates of information transmission across quantum communication lines, and the quantum capacity plays a key role in determining the overhead of fault-tolerant quantum computation platforms. Closed formulae for these capacities in bosonic systems were lacking for a key class of non-Gaussian channels, bosonic dephasing channels, which are used to model noise affecting superconducting circuits and fibre-optic communication channels. Here we provide an exact calculation of the quantum, private, two-way assisted quantum and secret-key-agreement capacities of all bosonic dephasing channels. We prove that they are equal to the relative entropy of the distribution underlying the channel with respect to the uniform distribution, solving a problem that was originally posed over a decade ago.An exact solution for the quantum and private capacities of bosonic dephasing channels is provided. The authors prove that these capacities are equal to the relative entropy of the distribution underlying the channel with respect to the uniform distribution.