arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.15872quant-ph
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改进的XX + YY耦合Z读出系统的量子态层析

Improved Quantum State Tomography for the Systems with XX+YY Couplings and Z Readouts

Tao Xin

摘要:

利用态层析技术对量子器件进行表征在验证量子硬件和处理量子信息中起着重要的作用,但需要指数级的测量。对于具有XX+ YY型耦合和Z读出的系统,例如超导量子计算(SQC)系统,使用单量子比特读出操作的传统量子态层析成像(QST)在重建$n$ -量子比特态时至少需要$3^n$测量设置。在这项工作中,我提出了一个改进的QST增加2量子比特的演化作为读出操作,并获得了最佳的层析方案,使用整数规划优化。我分别将新方案应用于量子比特上具有最近邻、二维和全对全连接性的SQC系统。结果表明,与传统的QST方法相比,该方法可以减少60%以上的测量次数。此外,通过数值仿真,与传统方案在实验可行性和抗误差鲁棒性方面进行了比较。结果表明,新方案具有良好的可实现性,可以达到与传统方案相当甚至更高的精度。希望相关领域的实验工作者能够直接利用已有的结果来重建他们所研究的量子态。

英文摘要:

Quantum device characterization via state tomography plays an important role in both validating quantum hardware and processing quantum information, but it needs the exponential number of the measurements. For the systems with XX+YY-type couplings and Z readouts, such as superconducting quantum computing (SQC) systems, traditional quantum state tomography (QST) using single-qubit readout operations at least requires $3^n$ measurement settings in reconstructing an $n$-qubit state. In this work, I proposed an improved QST by adding 2-qubit evolutions as the readout operations and obtained an optimal tomographic scheme using the integer programming optimization. I respectively apply the new scheme on SQC systems with the Nearest-Neighbor, 2-Dimensional, and All-to-All connectivities on qubits. It shows that this method can reduce the number of measurements by over 60% compared with the traditional QST. Besides, comparison with the traditional scheme in the experimental feasibility and robustness against errors were made by numerical simulation. It is found that, the new scheme has good implementability and it can achieve comparable or even better accuracy than the traditional scheme. It is expected that the experimentalist from the related fields can directly utilize the ready-made results for reconstructing quantum states involved in their research.

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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