Energetic cost of quantum control protocols
Energetic cost of quantum control protocols
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DOI：
10.1088/1367-2630/ab4c8c
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发表时间：
2019-10-01
影响因子：
3.3
通讯作者：
Campbell, Steve
中科院分区：
文献类型：
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作者：
Abah, Obinna;Puebla, Ricardo;Campbell, Steve
我们定量评估了几种实现有限时间绝热动力学的著名控制协议的能量成本，即反绝热和局部反绝热驱动、最优控制和逆向工程。通过采用基于总驱动哈密顿量范数的成本度量，我们表明出现了依赖于协议持续时间的成本层次结构。作为案例研究，我们探索了朗道·齐纳模型、量子谐振子和杰恩斯·卡明斯模型，并确定在所有情况下都存在定性相似的结果。对于分析上易于处理的朗道·齐纳案例，我们进一步将控制协议的有效性与新驱动哈密顿量的谱特征联系起来，并表明在反非绝热驱动的情况下，可以通过优化斜坡进一步最小化成本。
We quantitatively assess the energetic cost of several well-known control protocols that achieve a finite time adiabatic dynamics, namely counterdiabatic and local counterdiabatic driving, optimal control, and inverse engineering. By employing a cost measure based on the norm of the total driving Hamiltonian, we show that a hierarchy of costs emerges that is dependent on the protocol duration. As case studies we explore the Landau?Zener model, the quantum harmonic oscillator, and the Jaynes?Cummings model and establish that qualitatively similar results hold in all cases. For the analytically tractable Landau?Zener case, we further relate the effectiveness of a control protocol with the spectral features of the new driving Hamiltonians and show that in the case of counterdiabatic driving, it is possible to further minimize the cost by optimizing the ramp.