Customized Quantum Annealing Schedules
Customized Quantum Annealing Schedules
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DOI：
10.1103/physrevapplied.17.044005
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发表时间：
2021-03
影响因子：
4.6
通讯作者：
M. Khezri;X. Dai;Rui Yang;T. Albash;A. Lupascu;Daniel A. Lidar
中科院分区：
文献类型：
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作者：
M. Khezri;X. Dai;Rui Yang;T. Albash;A. Lupascu;Daniel A. Lidar
在一个典型的量子退火协议中，系统从横向场哈密顿量开始，逐渐变为非线性，并被纵向伊辛哈密顿量取代。伊辛哈密顿量的基态对感兴趣的计算问题的解进行编码，并且与该基态的状态重叠给出了退火协议的成功概率。退火时间表的形式可以对退火结束时的基态重叠产生重大影响，因此对这些退火时间表的精确控制可以成为提高退火协议成功概率的强大工具。在这里，我们将展示如何超导电路，特别是电容分流的量子比特（CSFQs），可以用来构建量子退火系统，提供工具映射电路的量子比特的泡利系数偏置。我们使用这种映射来找到定制的退火时间表：适当的电路控制偏置，产生所需的退火时间表，同时考虑电路的物理限制。然后，我们提供了利用这种能力来提高量子退火性能的例子和建议。
In a typical quantum annealing protocol, the system starts with a transverse field Hamiltonian which is gradually turned off and replaced by a longitudinal Ising Hamiltonian. The ground state of the Ising Hamiltonian encodes the solution to the computational problem of interest, and the state overlap with this ground state gives the success probability of the annealing protocol. The form of the annealing schedule can have a significant impact on the ground state overlap at the end of the anneal, so precise control over these annealing schedules can be a powerful tool for increasing success probabilities of annealing protocols. Here we show how superconducting circuits, in particular capacitively shunted flux qubits (CSFQs), can be used to construct quantum annealing systems by providing tools for mapping circuit flux biases to Pauli coefficients. We use this mapping to find customized annealing schedules: appropriate circuit control biases that yield a desired annealing schedule, while accounting for the physical limitations of the circuitry. We then provide examples and proposals that utilize this capability to improve quantum annealing performance.