arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1202.5032cond-mat.mes-hallquant-ph
收藏

用于单重态-三重态量子比特鲁棒通用控制的复合脉冲

Composite pulses for robust universal control of singlet-triplet qubits

Xin Wang, Lev S. Bishop, J. P. Kestner, Edwin Barnes, Kai Sun, S. Das Sarma

摘要:

精确的量子位操作是量子计算的基础,然而实验系统通常在量子位和环境之间存在杂散耦合,这阻碍了必要的高精度控制。我们在这里报告了在半导体双量子点中单重态-三重态自旋量子位的背景下,在纠正由磁场梯度波动引起的一类重要误差方面的第一个理论进展。这些误差无法通过在其他背景下开发的控制技术进行校正,因为在这里,实验者只能精确控制布洛赫球绕z轴的旋转速率,并且该速率还被限制为正值和有界。尽管有这些强约束,我们构造简单的电脉冲序列,对于小梯度,进行z轴旋转,同时取消误差高达六阶梯度波动,和大梯度,进行任意旋转,同时取消领先的顺序错误。

英文摘要:

Precise qubit manipulation is fundamental to quantum computing, yet experimental systems generally have stray coupling between the qubit and the environment, which hinders the necessary high-precision control. We report here the first theoretical progress in correcting an important class of errors stemming from fluctuations in the magnetic field gradient, in the context of the singlet-triplet spin qubit in a semiconductor double quantum dot. These errors are not amenable to correction via control techniques developed in other contexts, since here the experimenter has precise control only over the rotation rate about the z-axis of the Bloch sphere, and this rate is furthermore restricted to be positive and bounded. Despite these strong constraints, we construct simple electrical pulse sequences that, for small gradients, carry out z-axis rotations while canceling errors up to the sixth order in gradient fluctuations, and for large gradients, carry out arbitrary rotations while canceling the leading order error.

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。

↑