Generation of eigenstates using the phase-estimation algorithm
Generation of eigenstates using the phase-estimation algorithm
复制标题
DOI：
10.1103/physreva.63.032301
复制
发表时间：
2000-08
影响因子：
2.9
通讯作者：
B. Travaglione;G. J. Milburn
中科院分区：
文献类型：
--
作者：
B. Travaglione;G. J. Milburn
相位估计算法之所以如此命名，是因为它允许对与一个算子相关的特征值进行估计。然而，有人提出该算法也可以用于生成特征态。在这里，我们将这一建议扩展到小量子系统，确定了相位估计算法能够成功生成特征态的条件。然后，我们提出了一种基于离子阱量子计算机的实现方案。这个方案允许我们说明两个简单的例子，其中一个算法有效地生成特征态，而另一个则不能。
The phase estimation algorithm is so named because it allows an estimation of the eigenvalues associated with an operator. However, it has been proposed that the algorithm can also be used to generate eigenstates. Here we extend this proposal for small quantum systems, identifying the conditions under which the phase-estimation algorithm can successfully generate eigenstates. We then propose an implementation scheme based on an ion trap quantum computer. This scheme allows us to illustrate two simple examples, one in which the algorithm effectively generates eigenstates, and one in which it does not.