论文标题
控制量子噪声：关于扩张的作用
Control of quantum noise: on the role of dilations
论文作者
论文摘要
我们表明，每个有限维量子系统都具有Markovian（即GKLS生成的）时间演化具有自主的单一扩张，可以动态解耦。由于也总是有一个自主的单一扩张，无法动态地脱钩，因此这突出了扩张在控制量子噪声中的作用。我们通过与霍兰德时钟哈密顿量和某些点 - 局部化状态结合使用的时间依赖性版本的Stinespring构建扩张，这些状态可能被视为C* - 代数类似物的bra-ket位置特征状态不当，并且是独立数学和物理兴趣的。
We show that every finite-dimensional quantum system with Markovian (i.e., GKLS-generated) time evolution has an autonomous unitary dilation which can be dynamically decoupled. Since there is also always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland's clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest.
