论文标题

逃避大约量子汇编中的贫瘠高原

Escaping barren plateaus in approximate quantum compiling

论文作者

Robertson, Niall F., Akhriev, Albert, Vala, Jiri, Zhuk, Sergiy

论文摘要

量子汇编提供了一种方法,将高级抽象的量子算法转化为实际硬件上的量子电路的实现。量子汇编的一种方法是设计一个参数化电路,并使用优化的技术来找到最小化参数化电路与目标电路之间的距离的参数。在有希望的同时,这种方法通常会遇到贫瘠的高原的障碍 - 即梯度消失的参数空间的大区域。在某些特定情况下,许多针对所谓的量子辅助量子汇编的最近的许多作品开发了诱导梯度的新技术。在这里,我们开发并实施了一组相关技术,以便将它们应用于经典的辅助量子汇编。我们考虑近似状态准备和近似电路准备,并表明,在这两种情况下,我们都可以通过这项工作中开发的方法显着改善收敛性。

Quantum compilation provides a method to translate quantum algorithms at a high level of abstraction into their implementations as quantum circuits on real hardware. One approach to quantum compiling is to design a parameterised circuit and to use techniques from optimisation to find the parameters that minimise the distance between the parameterised circuit and the target circuit of interest. While promising, such an approach typically runs into the obstacle of barren plateaus - i.e. large regions of parameter space in which the gradient vanishes. A number of recent works focusing on so-called quantum assisted quantum compiling have developed new techniques to induce gradients in some particular cases. Here we develop and implement a set of related techniques such that they can be applied to classically assisted quantum compiling. We consider both approximate state preparation and approximate circuit preparation and show that, in both cases, we can significantly improve convergence with the approach developed in this work.

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