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arXiv 1602.05201cond-mat.mes-hallquant-ph
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超超行波近似半导体量子比特的快速控制

Fast control of semiconductor qubits beyond the rotating-wave approximation

Yang Song, J. P. Kestner, Xin Wang, S. Das Sarma

摘要:

我们提出了一个理论研究的单量子比特操作的振荡场在各种半导体平台上。我们明确地展示了如何通过超越普遍使用的旋转波近似(RWA)制度,同时仅使用两个正弦脉冲来执行更快的门操作。不需要复杂的脉冲整形或最佳控制序列。我们首先表明,具体公布的实验有多少误差是目前所产生的实施脉冲设计使用标准RWA。然后,我们表明,即使是适度的增加门速度将导致问题,在使用RWA的单重态-三重态(ST)和共振交换(RX)量子位的门设计。我们讨论在何种程度上保持较高的订单分析微扰理论将解决这个问题。更引人注目的是,我们给出了一个新的处方门控强耦合远远超出RWA制度。我们对两个连续脉冲的相位和持续时间进行了数值计算,以实现耦合强度高达量子比特分裂数倍的关键Hadamard和$\fracπ{8}$门。在这种明显的非RWA状态下工作,门操作速度提高了两到三个数量级。

英文摘要:

We present a theoretical study of single-qubit operations by oscillatory fields on various semiconductor platforms. We explicitly show how to perform faster gate operations by going beyond the universally-used rotating wave approximation (RWA) regime, while using only two sinusoidal pulses. No complicated pulse shaping or optimal control sequences are required. We first show for specific published experiments how much error is currently incurred by implementing pulses designed using standard RWA. We then show that an even modest increase in gate speed would cause problems in using RWA for gate design in the singlet-triplet (ST) and resonant-exchange (RX) qubits. We discuss the extent to which analytically keeping higher orders in the perturbation theory would address the problem. More strikingly, we give a new prescription for gating with strong coupling far beyond the RWA regime. We perform numerical calculations for the phases and the durations of two consecutive pulses to realize the key Hadamard and $\fracπ{8}$ gates with coupling strengths up to several times the qubit splitting. Working in this manifestly non-RWA regime, the gate operation speeds up by two to three orders of magnitude.

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