论文标题
用完全稳定器保存操作量化动力学魔术作为免费
Quantifying dynamical magic with completely stabilizer preserving operations as free
论文作者
论文摘要
在本文中，我们通过将完全稳定器保存操作（CSPO）视为免费的魔法资源理论。我们介绍并表征了CSPO保存和完全保存超级通道的集合。我们通过将魔术的广义鲁棒性和最小的魔术相对熵从状态扩展到通道域来量化量子通道的魔力，并表明它们绑定了单一动力学的魔术成本和蒸馏。我们还为CSPO下的量子互转换提供了分析条件，并表明它是一个线性编程的可行性问题，因此可以有效地解决。最后，我们给出了一种经典的模拟算法，其运行时与频道的魔术鲁棒性有关。我们的算法取决于一些预定义的精度，如果在所需的精度上没有绑定的精度，则可以达到恒定的运行时。
In this paper, we extend the resource theory of magic to the channel case by considering completely stabilizer preserving operations (CSPOs) as free. We introduce and characterize the set of CSPO preserving and completely CSPO preserving superchannels. We quantify the magic of quantum channels by extending the generalized robustness and the min relative entropy of magic from the state to the channel domain and show that they bound the single-shot dynamical magic cost and distillation. We also provide analytical conditions for qubit interconversion under CSPOs and show that it is a linear programming feasibility problem and hence can be efficiently solved. Lastly, we give a classical simulation algorithm whose runtime is related to the generalized robustness of magic for channels. Our algorithm depends on some pre-defined precision, and if there is no bound on the desired precision then it achieves a constant runtime.
