Destabilization of Local Minima in Analog Spin Systems by Correction of Amplitude Heterogeneity
Destabilization of Local Minima in Analog Spin Systems by Correction of Amplitude Heterogeneity
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DOI：
10.1103/physrevlett.122.040607
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发表时间：
2019-02-01
影响因子：
8.6
通讯作者：
Aihara, Kazuyuki
中科院分区：
文献类型：
--
作者：
Leleu, Timothee;Yamamoto, Yoshihisa;Aihara, Kazuyuki
在统计物理、神经网络和最近的量子计算领域，二元自旋弛豫到模拟值一直是争论的主题，特别是因为使用模拟状态寻找较低能量自旋构型的好处通常被弛豫导致的能量函数不正确映射的负面影响所抵消。我们证明，通过扩展相空间来包含纠正模拟自旋态振幅不均匀性和控制其速度散度的误差信号，可以使对应于二元自旋哈密顿量局部最小值的模拟态捕获集不稳定。所提出的模拟自旋系统在寻找低能态方面的性能与最先进的启发式方法具有竞争力。
The relaxation of binary spins to analog values has been the subject of much debate in the field of statistical physics, neural networks, and more recently quantum computing, notably because the benefits of using an analog state for finding lower energy spin configurations are usually offset by the negative impact of the improper mapping of the energy function that results from the relaxation. We show that it is possible to destabilize trapping sets of analog states that correspond to local minima of the binary spin Hamiltonian by extending the phase space to include error signals that correct amplitude inhomogeneity of the analog spin states and controlling the divergence of their velocity. Performance of the proposed analog spin system in finding lower energy states is competitive against state-of-the-art heuristics.