关于0保真度的简短说明
A short note on the 0-fidelity
摘要：
最近的一篇文章介绍了一种称为$k$的量的层次结构，它以越来越高的精度近似量子过程的保真度。在这个层次中最低的近似是$0$ -保真度。作者给出了一个协议，估计的$0$ -保真度，并显示数值证据表明，它近似的过程保真度。在这篇文章中，我们证明了上下限的过程保真度的0-保真度的线性函数。通过求解一个半定规划，证明了该下界是紧的。
英文摘要：
A recent article introduced a hierarchy of quantities called $k$-fidelities that approximate the quantum process fidelity with increasing accuracy. The lowest approximation in this hiearchy is the $0$-fidelity. The authors gave a protocol for estimating the $0$-fidelity and showed numerical evidence that it approximates the process fidelity. In this note, we prove lower and upper bounds on the process fidelity as linear functions of the 0-fidelity. By solving a semidefinite program, we provide evidence that the lower bound is tight.
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。
