Simulation of quantum materials is a significant application of quantum computers. In contrast with the unitary operation which can be realized naturally on a quantum computer, the implementation of nonunitary operation, widely used in classical approaches, needs special designing. Here, by application of Grover’s algorithm, we extend the probabilistic method of implementing nonunitary operation and show that it can promote success probability without fidelity decreasing. This method can be applied to problems of imaginary time evolution and contraction of tensor networks on a quantum computer.

中文翻译：

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虚时间演化中的概率非酉门

量子材料的模拟是量子计算机的一个重要应用。与可以在量子计算机上自然实现的幺正运算不同，在经典方法中广泛使用的非酉运算的实现需要特殊设计。在这里，通过应用 Grover 算法，我们扩展了实现非酉操作的概率方法，并表明它可以在不降低保真度的情况下提高成功概率。该方法可以应用于量子计算机上张量网络的虚时间演化和收缩问题。