Superadiabatic control of quantum operations

Superadiabatic control of quantum operations
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DOI:
10.1103/physreva.93.052329
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发表时间:
2015-12
期刊:
影响因子:
2.9
通讯作者:
Jonathan Vandermause;C. Ramanathan
Jonathan Vandermause;C. Ramanathan
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Jonathan Vandermause;C. Ramanathan

文献摘要

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绝热脉冲被广泛用于实现量子操作的鲁棒控制。我们引入了一种绝热控制方法,该方法使用超绝热品质因数作为性能指标来设计稳健的高保真脉冲。这种方法允许量子控制方案的系统设计,以在给定可用控制资源的情况下最大化特定时间间隔内单一操作的绝热性。在单量子位反转的情况下,检查了所得脉冲的绝热性、保真度和鲁棒性之间的相互作用,并且证明超绝热脉冲对控制误差具有改进的鲁棒性。开发了一种数值搜索策略来寻找更广泛的绝热运算,包括多量子位绝热酉。我们通过设计控制波形来说明这种搜索策略的实用性,该控制波形为模型 NMR 系统绝热地实现两个量子位纠缠门。
Adiabatic pulses are used extensively to enable robust control of quantum operations. We introduce an approach to adiabatic control that uses the superadiabatic quality factor as a performance metric to design robust, high-fidelity pulses. This approach permits the systematic design of quantum control schemes to maximize the adiabaticity of a unitary operation in a particular time interval given the available control resources. The interplay between adiabaticity, fidelity, and robustness of the resulting pulses is examined for the case of single-qubit inversion, and superadiabatic pulses are demonstrated to have improved robustness to control errors. A numerical search strategy is developed to find a broader class of adiabatic operations, including multiqubit adiabatic unitaries. We illustrate the utility of this search strategy by designing control waveforms that adiabatically implement a two-qubit entangling gate for a model NMR system.