论文标题
用于量子计算机的状态准备的投影算法
Projection algorithm for state preparation on quantum computers
论文作者
论文摘要
我们提出了一种有效的方法，可以在量子硬件上准备多体系统的状态，首先隔离单个量子数，然后使用时间演化来隔离能量。我们的最简单形式的方法仅需要一个额外的辅助量子。精确溶液的总时间与试验状态与间隙与最低激发态的光谱范围的比率成正比，并且随着时间的发展，准确性呈指数增长。由于已知的特征值，隔离量子数是有效的，并增加了间隙，从而缩短了所需的传播时间。算法的成功率或产生所需状态的概率是测量时间和相位的简单函数，并且由原始状态与所需状态的平方重叠所控制。我们介绍了核壳模型和海森堡模型的例子。我们将该算法与以前的算法进行比较，以进行短演化时间，并讨论潜在的进一步改进。
We present an efficient method to prepare states of a many-body system on quantum hardware, first isolating individual quantum numbers and then using time evolution to isolate the energy. Our method in its simplest form requires only one additional auxiliary qubit. The total time evolved for an accurate solution is proportional to the ratio of the spectrum range of the trial state to the gap to the lowest excited state, and the accuracy increases exponentially with the time evolved. Isolating the quantum numbers is efficient because of the known eigenvalues, and increases the gap thus shortening the propagation time required. The success rate of the algorithm, or the probability of producing the desired state, is a simple function of measurement times and phases and is dominated by the square overlap of the original state to the desired state. We present examples from the nuclear shell model and the Heisenberg model. We compare this algorithm to previous algorithms for short evolution times and discuss potential further improvements.
