消除弱非线性量子比特泄漏的简单脉冲
Simple pulses for elimination of leakage in weakly nonlinear qubits
摘要：
在量子计算的实现中，一个两能级系统（量子比特）经常被从一个非谐振子的许多能级中挑选出来。在这些情况下，简单的量子位控制由于耦合到泄漏水平而在短时间尺度上失败。我们提供了一个易于实现的分析公式，抑制这种泄漏从任何单一控制模拟或像素化脉冲。它是基于增加第二个控制，这是成比例的时间导数的第一。对于超导量子比特的实际参数，该策略相对于现有技术将误差降低了一个数量级，所有这些都基于平滑和可行的脉冲形状。这些结果表明，即使是弱的非谐性也是足够的，并且通常不是实现量子门的限制因素。
英文摘要：
In realizations of quantum computing, a two-level system (qubit) is often singled out of the many levels of an anharmonic oscillator. In these cases, simple qubit control fails on short time scales because of coupling to leakage levels. We provide an easy to implement analytic formula that inhibits this leakage from any single-control analog or pixelated pulse. It is based on adding a second control that is proportional to the time-derivative of the first. For realistic parameters of superconducting qubits, this strategy reduces the error by an order of magnitude relative to the state of the art, all based on smooth and feasible pulse shapes. These results show that even weak anharmonicity is sufficient and in general not a limiting factor for implementing quantum gates.
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