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arXiv 2403.03992quant-ph
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Treespilation:架构与状态优化的费米子到量子比特映射

Treespilation: Architecture- and State-Optimised Fermion-to-Qubit Mappings

Aaron Miller, Adam Glos, Zoltán Zimborás

AI总结:

本文提出“treespilation”技术,利用基于树的映射高效编码费米子系统,以最小化模拟化学基态所需的CNOT门数量,并在全连接及有限连接设备上实现最高74%的CNOT数量减少,同时提升了QEB-和qubit-ADAPT-VQE协议的效率。

摘要:

量子计算机在高效模拟费米子系统方面前景广阔,有益于量子化学和材料科学等领域。为实现这一目标,算法通常首先选择一种费米子到量子比特映射,将费米子问题编码到量子计算机的量子比特中。在本研究中,我们引入了“treespilation”技术,利用部分作者先前提出的一大类基于树的优良映射,高效地映射费米子系统。我们利用该技术来最小化模拟化学基态所需的CNOT门数量,这些基态是使用ADAPT-VQE算法通过数值方法找到的。我们在全连接架构上观察到CNOT数量显著减少,最高达74%;对于有限量子比特连接类型的设备,如IBM Eagle和Google Sycamore,我们也观察到CNOT数量有类似的减少。在许多情况下,这些有限连接设备上实现的减少量甚至超过了初始的全连接CNOT数量。此外,我们发现该方法提升了QEB-和qubit-ADAPT-VQE的CNOT和参数效率,据我们所知,它们是用于分子态制备的最具CNOT效率的VQE协议。

英文摘要:

Quantum computers hold great promise for efficiently simulating Fermionic systems, benefiting fields like quantum chemistry and materials science. To achieve this, algorithms typically begin by choosing a Fermion-to-qubit mapping to encode the Fermioinc problem in the qubits of a quantum computer. In this work, we introduce "treespilation," a technique for efficiently mapping Fermionic systems using a large family of favourable tree-based mappings previously introduced by some of the authors. We use this technique to minimise the number of CNOT gates required to simulate chemical groundstates found numerically using the ADAPT-VQE algorithm. We observe significant reductions, up to $74\%$, in CNOT counts on full connectivity and for limited qubit connectivity-type devices such as IBM Eagle and Google Sycamore, we observe similar reductions in CNOT counts. In many instances, the reductions achieved on these limited connectivity devices even surpass the initial full connectivity CNOT count. Additionally, we find our method improves the CNOT and parameter efficiency of QEB- and qubit-ADAPT-VQE, which are, to our knowledge, the most CNOT-efficient VQE protocols for molecular state preparation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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