论文标题

修改的Grover操作员进行振幅估计

Modified Grover operator for amplitude estimation

论文作者

Uno, Shumpei, Suzuki, Yohichi, Hisanaga, Keigo, Raymond, Rudy, Tanaka, Tomoki, Onodera, Tamiya, Yamamoto, Naoki

论文摘要

在本文中,我们提出了一种量子振幅估计方法,该方法使用修改后的Grover操作员,并四次提高理想情况下的估计准确性,例如使用标准Grover Operator的常规情况。在去极化噪声下,所提出的方法可以胜过传统的方法,因为它原则上可以达到以大量量子的极限为量子的最终估计精度,而常规量子的最终估计精度则无法达到相同的最终准确性的值。总的来说,这种优势需要一个复杂的自适应测量,但是我们从数值上证明,即使采用简单的非自适应测量策略,提出的方法也可以胜过传统的方法和最终精度的方法。

In this paper, we propose a quantum amplitude estimation method that uses a modified Grover operator and quadratically improves the estimation accuracy in the ideal case, as in the conventional one using the standard Grover operator. Under the depolarizing noise, the proposed method can outperform the conventional one in the sense that it can in principle achieve the ultimate estimation accuracy characterized by the quantum Fisher information in the limit of a large number of qubits, while the conventional one cannot achieve the same value of ultimate accuracy. In general this superiority requires a sophisticated adaptive measurement, but we numerically demonstrate that the proposed method can outperform the conventional one and approach to the ultimate accuracy, even with a simple non-adaptive measurement strategy.

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