Trapped Ion Quantum Computing Correcting Errors in the Molmer-Sorensen Gat

囚禁离子是可扩展量子计算机的一个很有希望的候选者。IQT小组在磁场梯度中使用囚禁的镱离子。任何量子计算机都需要高保真度门来减少实现纠错码所需的额外量子位数。在量子门的运行过程中，容易出现各种各样的误差源，其中一些是固有的，也存在环境误差，如加热，最后是由于控制参数不正确而引起的误差。本文主要研究控制参数误差的校正问题，特别是对称和非对称失谐误差。对双量子位Molmer-Sorensen门的模拟表明，对称失谐误差小于_2.5 Hz，非对称失谐误差小于_5 Hz，才能达到99.9%的准确度。提出了一种方法来纠正这些错误，它包括三个连续的失谐扫描。本论文最后解释了如何进行的程序，如一个提出了实验。

Trapped ions make a promising candidate for scalable quantum computers.The IQT group uses trapped ytterbium ions in a magnetic field gradient. Anyquantum computer will require high fidelity gate to reduce the number of additionalqubits required for implementing error correction codes. When performinga quantum gate it is prone to different sources of error, some of which are intrinsic.There also exist environmental errors such as heating, and finally errors due toincorrect control parameters. This thesis concentrates on correcting errors in control parameters, more specifically symmetric and asymmetric detuning errors. Simulations of the two qubit Molmer-Sorensen gate show that errors of less than _2.5 Hz for symmetric and _5 Hz for asymmetric detunings are required to achieve 99.9% fidelities. A method is proposed to correct for these errors, which consists of three successive detuning scans. This thesis finally explains how procedures such as the one put forth are carried out experimentally.