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arXiv 2109.09787quant-phcond-mat.stat-mechcond-mat.str-el
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在NISQ硬件上制备重整化群不动点

Preparing Renormalization Group Fixed Points on NISQ Hardware

Troy J. Sewell, Stephen P. Jordan

摘要:

噪声中尺度量子(NISQ)硬件通常限于低深度量子线路,以限制由不可靠的量子门引入错误的机会的数量。较少探索的替代方法是重复地应用具有期望的量子态的量子信道作为稳定固定点。在这种情况下,由于耗散自校正,增加电路深度可能是有益的而不是有害的。由MERA电路构造的量子信道可以用重整化群(RG)来解释,它们的不动点是RG不动点,即尺度不变系统,如共形场论。在这里,金和Swingle的理论建议的基础上,我们数值和实验研究的强大的准备的基态的临界伊辛模型使用电路改编的工作,Evenbly和白色。实验实现通过局部观测量的收敛性和稳定性中看到的重整化表现出自校正,并且基本上利用霍尼韦尔离子阱的“量子CCD”架构提供的测量和重置单个量子位的能力。我们还数值测试误差缓解零噪声外推方案特别适用于重整化电路,这是能够优于典型的外推方案,使用较低的门开销。

英文摘要:

Noisy intermediate-scale quantum (NISQ) hardware is typically limited to low-depth quantum circuits to limit the number of opportunities for introduction of error by unreliable quantum gates. A less-explored alternative approach is to repeatedly apply a quantum channel with a desired quantum state as a stable fixed point. Increased circuit depth can in this case be beneficial rather than harmful due to dissipative self-correction. The quantum channels constructed from MERA circuits can be interpreted in terms of the renormalization group(RG), and their fixed points are RG fixed points, i.e. scale-invariant systems such as conformal field theories. Here, building upon the theoretical proposal of Kim and Swingle, we numerically and experimentally study the robust preparation of the ground state of the critical Ising model using circuits adapted from the work of Evenbly and White. The experimental implementation exhibits self-correction through renormalization seen in the convergence and stability of local observables, and makes essential use of the ability to measure and reset individual qubits afforded by the "quantum CCD" architecture of the Honeywell ion-trap. We also numerically test error mitigation by zero-noise extrapolation schemes specially adapted for renormalization circuits, which are able to outperform typical extrapolation schemes using lower gate overhead.

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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