量子隐私和舒尔产品渠道
Quantum Privacy and Schur Product Channels
摘要：
利用Schur乘积矩阵运算和相关矩阵结构，研究了一类重要的量子信道的量子隐私特性.对于由相互交换的幺正实现的通道，它不能将量子比特直接编码到子空间中，但是我们确定了可以被通道私有化的私有代数和子系统。我们还得到进一步的结果，结合我们的分析工具，从理论的准正交算子代数和图论。
英文摘要：
We investigate the quantum privacy properties of an important class of quantum chan-nels, by making use of a connection with Schur product matrix operations and associated correlationmatrix structures. For channels implemented by mutually commuting unitaries, which cannot priva-tise qubits encoded directly into subspaces, we nevertheless identify private algebras and subsystemsthat can be privatised by the channels. We also obtain further results by combining our analysiswith tools from the theory of quasiorthogonal operator algebras and graph theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
