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arXiv 2211.09784quant-ph
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探测自旋液体哈密顿量量子模拟器中的分数统计

Probing fractional statistics in quantum simulators of spin liquid Hamiltonians

Shiyu Zhou, Maria Zelenayova, Oliver Hart, Claudio Chamon, Claudio Castelnovo

AI总结:

本文提出利用准粒子干涉测量探测量子模拟器中拓扑自旋液体的分数统计,并评估其对噪声的鲁棒性,为验证器件量子性提供新方法。

摘要:

可编程量子器件的最新进展凸显了利用它们实现和研究拓扑量子自旋液体相的诱人可能性。这一令人振奋的新方向带来了关于如何探测和确定此类奇异、高度纠缠相存在的重要研究问题。最有前景的工具之一是研究拓扑激发的行为,特别是它们的分数统计。在这项工作中,我们提出了一种实现这一目标的通用路线,并在借助组合规范对称性实现的$\mathbb{Z}_2$拓扑自旋液体的具体案例中加以说明。我们设计了一种便捷的架构,通过准粒子干涉测量来研究分数统计的迹象,并评估了其对对角和非对角无序以及退相干的鲁棒性——这些效应在嘈杂的可编程量子器件中普遍存在。我们方案的一个有用特点是,它提供了对这些器件“量子性”的明确测试,因为我们寻找的迹象关键依赖于系统中的量子相干和量子干涉效应。

英文摘要:

Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases. This new and exciting direction brings about important research questions on how to probe and determine the presence of such exotic, highly entangled phases. One of the most promising tools is investigating the behaviour of the topological excitations, and in particular their fractional statistics. In this work we put forward a generic route to achieve this, and we illustrate it in the specific case of $\mathbb{Z}_2$ topological spin liquids implemented with the aid of combinatorial gauge symmetry. We design a convenient architecture to study signatures of fractional statistics via quasiparticle interferometry, and we assess its robustness to diagonal and off-diagonal disorder, as well as to dephasing -- effects that are generally pervasive in noisy quantum programmable devices. A useful counterpart of our scheme is that it provides a clear test of the `quantumness' of these devices, since the signatures that we are looking for crucially hinge on quantum coherence and quantum interference effects in the system.

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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