玻璃态无序下的量子相位估计
Quantum phase estimation in presence of glassy disorder
摘要：
我们调查噪声的响应，在电路元件中存在的玻璃状无序的形式，在量子相位估计算法的成功概率，用于确定的特征值的子程序-一个相位-对应于一个酉门的特征向量。我们证明了当电路中包含大量辅助量子比特时，概率不依赖于实际的无序类型，而只依赖于无序的平均值和强度。为了进一步的分析，我们考虑三种类型的无序分布：哈尔均匀的圆形截止，哈尔均匀的椭圆或压缩截止，和球形正常。通常存在响应于无序并入的无序平均成功概率的贬值。即使在存在无序的情况下，增加辅助量子位的数量也有助于获得更好的相位精度，尽管程度（概率）比干净的情况下要小。我们发现了一个凹凸过渡的概率依赖于无序的强度，和对数-对数之间的拐点和辅助量子比特使用的数量的依赖性。
英文摘要：
We investigate the response to noise, in the form of glassy disorder present in circuit elements, in the success probability of the quantum phase estimation algorithm, a subroutine used to determine the eigenvalue - a phase - corresponding to an eigenvector of a unitary gate. We prove that when a large number of auxiliary qubits are involved in the circuit, the probability does not depend on the actual type of disorder but only on the mean and strength of the disorder. For further analysis, we consider three types of disorder distributions: Haar-uniform with a circular cut-off, Haar-uniform with an elliptical or squeezed cut-off, and spherical normal. There is generally a depreciation of the disorder-averaged success probability in response to the disorder incorporation. Even in the presence of the disorder, increasing the number of auxiliary qubits helps to get a better precision of the phase, albeit to a lesser extent (probability) than that in the clean case. We find a concave to convex transition in the dependence of probability on the strength of disorder, and a log-log dependence is witnessed between the point of inflection and the number of auxiliary qubits used.
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。
