Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer
Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer
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DOI：
10.1038/s42005-024-01698-3
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发表时间：
2023-02
影响因子：
5.5
通讯作者：
Mohsin Iqbal;Nathanan Tantivasadakarn;T. Gatterman;J. Gerber;K. Gilmore;D. Gresh;A. Hankin;N. Hewitt;C. V. Horst;M. Matheny;T. Mengle;B. Neyenhuis;A. Vishwanath;M. Foss-Feig;R. Verresen;Henrik Dreyer
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作者：
Mohsin Iqbal;Nathanan Tantivasadakarn;T. Gatterman;J. Gerber;K. Gilmore;D. Gresh;A. Hankin;N. Hewitt;C. V. Horst;M. Matheny;T. Mengle;B. Neyenhuis;A. Vishwanath;M. Foss-Feig;R. Verresen;Henrik Dreyer
量子系统以两种方式之一随时间演化：通过薛定谔方程或波函数坍缩。到目前为止，由于测量的概率性质，实验室中量子多体系统的确定性控制主要集中在前者。这造成了严重的限制：例如，如果限制于幺正动力学，则制备长程纠缠态需要广泛的电路深度。在这项工作中，我们使用中间电路测量和前馈实现确定性非幺正动力学Quantinuum的H1可编程离子阱量子计算机。启用这些功能，我们展示了一个恒定的深度过程中实时创建一个复曲面代码基态。除了达到高稳定子的结晶度外，我们还创建了一个非阿贝尔缺陷，其存在通过编织来转换任意子来确认。这项工作为在实验室中创建复杂的拓扑秩序和通过测量和前馈探索确定性非酉动力学扫清了道路。
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 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.