Multi-mode bosonic Gaussian channels
Multi-mode bosonic Gaussian channels
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多模玻色高斯通道
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
A. Holevo
中科院分区：
文献类型：
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作者：
Filippo Caruso;J. Eisert;J. Eisert;Vittorio Giovannetti;A. Holevo
本文对多模玻色高斯信道进行了全面的分析。我们澄清了一般高斯通道的幺正伸缩涉及任何数量的玻色子模式的结构，并提出了一个规范形式。确定所需的辅助模式的最大数量，包括所有秩亏的情况下，和加性经典噪声的具体作用被突出。通过使用这种分析，我们推导出一个典型的矩阵形式的噪声演化的n-模式BGC和他们的弱互补的同行，根据最近推广的正常模式分解的非对称或局部约束的情况。这使我们能够简化弱降解性分类。此外，我们研究了一些奇异的多模信道的结构，如加性经典噪声信道，可以用来分解一个嘈杂的信道在一个较小的噪音，以找到新的一组地图与零量子容量。最后，对两种模式的情况进行了详细的分析。通过利用双模映射的组成规则和抗退化信道不能用于传输量子信息的事实，我们确定了具有零容量的双模玻色子信道集。
A complete analysis of multi-mode bosonic Gaussian channels (BGCs) is proposed. We clarify the structure of unitary dilations of general Gaussian channels involving any number of bosonic modes and present a normal form. The maximum number of auxiliary modes that is needed is identified, including all rank deficient cases, and the specific role of additive classical noise is highlighted. By using this analysis, we derive a canonical matrix form of the noisy evolution of n-mode BGCs and of their weak complementary counterparts, based on a recent generalization of the normal mode decomposition for non-symmetric or locality constrained situations. This allows us to simplify the weak-degradability classification. Moreover, we investigate the structure of some singular multi-mode channels, like the additive classical noise channel that can be used to decompose a noisy channel in terms of a less noisy one in order to find new sets of maps with zero quantum capacity. Finally, the two-mode case is analyzed in detail. By exploiting the composition rules of two-mode maps and the fact that anti-degradable channels cannot be used to transfer quantum information, we identify sets of two-mode bosonic channels with zero capacity.