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arXiv 2302.01917quant-phcond-mat.str-el
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在囚禁离子量子计算机上通过测量与前馈实现拓扑序

Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer

Mohsin Iqbal, Nathanan Tantivasadakarn, Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Aaron Hankin, Nathan Hewitt, Chandler V. Horst, Mitchel… 展开作者

Mohsin Iqbal, Nathanan Tantivasadakarn, Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Aaron Hankin, Nathan Hewitt, Chandler V. Horst, Mitchell Matheny, Tanner Mengle, Brian Neyenhuis, Ashvin Vishwanath, Michael Foss-Feig, Ruben Verresen, Henrik Dreyer

AI总结:

本文在Quantinuum H1离子阱量子计算机上利用线路中间测量与前馈实现确定性非幺正动力学,首次以常数深度实时制备环面码基态并验证非阿贝尔缺陷,为实验室研究复杂拓扑序开辟了新路径。

摘要:

量子系统随时间演化有两种方式:通过薛定谔方程或波函数坍缩。迄今为止,由于测量的概率性质,实验室中对量子多体系统的确定性控制主要集中在薛定谔方程演化上。这带来了严重的局限性:例如,如果仅限于幺正动力学,制备长程纠缠态需要极大的线路深度。在这项工作中,我们在Quantinuum的H1可编程离子阱量子计算机上使用线路中间测量和前馈来实现确定性非幺正动力学。借助这些能力,我们首次演示了一种实时创建环面码(toric code)基态的常数深度流程。除了达到高稳定子保真度之外,我们还创建了一个非阿贝尔缺陷,并通过编织(braiding)使任意子发生嬗变来确认该缺陷的存在。这项工作为在实验室中创建复杂拓扑序以及通过测量和前馈探索确定性非幺正动力学扫清了道路。

英文摘要:

Quantum systems evolve in time in one of two ways: through the Schrödinger equation or wavefunction collapse. So far, deterministic control of quantum many-body systems in the lab has focused on the former, due to the probabilistic nature of measurements. This imposes serious limitations: preparing long-range entangled states, for example, requires extensive circuit depth if restricted to unitary dynamics. In this work, we use mid-circuit measurement and feed-forward to implement deterministic non-unitary dynamics on Quantinuum's H1 programmable ion-trap quantum computer. Enabled by these capabilities, we demonstrate for the first time a constant-depth procedure for creating a toric code ground state in real-time. In addition to reaching high stabilizer fidelities, we create a non-Abelian defect whose presence is confirmed by transmuting anyons via braiding. This work clears the way towards creating complex topological orders in the lab and exploring deterministic non-unitary dynamics via measurement and feed-forward.

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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