Tools from Quantum System and Control Theory

为了充分利用金刚石NV中心作为量子寄存器或量子处理器的有利特性，必须将存储器的耐久性及其读/写过程的精度带到极限。在量子处理器中，类似的要求适用于计算门。与此同时，应保护系统免受弛豫损失。此外，尽管有最先进的材料工程，但相邻量子位之间的耦合架构必然具有较小但不可避免的（偶极）长程耦合相互作用。因此，一个现实的架构（硬件）通常是不理想的，必须通过转向控制（软件）进行补偿。- 为了满足所有这些挑战的组合，最优控制的数值方法是等同的。因此，这是这个子项目的范围内提供的方法和算法设计最佳控制在给定的非理想和实验的限制。它们还可以包括约束，如将系统动态保持在某些消相干保护的子空间中或相当于妥协的外部控制。在进一步的细化，一个必须解决的系统与部分未知的参数的主方程。

In order to fully exploit the advantageous properties of diamond NV centers as quantum registers or as quantum processors, the endurance of the memory and the precision of its read/write processes has to be taken to the limit. In quantum processors, analogous requirements hold for the computational gates. At the same time the system should be protected against relaxative losses. Moreover, in spite of state-of-the-art material engineering, the coupling architecture among the neighboring qubits is bound to have minor yet inevitable (dipolar) long-range coupling interactions. Thus a realistic architecture (hardware) is usually non-ideal and has to be compensated for by the steering controls (software). — In order to meet the combination of all these challenges, numerical methods of optimal control are tantamount. Therefore, it is the scope of this subproject to provide methods and algorithms for designing optimal controls under given non-idealty and experimental limitations. They may also comprise constraints as keeping the system dynamics In some decoherence-protected subspace or amount to compromised external controls. Upon further refinement, one has to address a system with partially unknown parameters of the master equation.