用三体哈密顿量提升CMOS可逆逻辑电路收敛速度。
High Convergence Rates of CMOS Invertible Logic Circuits Based on Many-Body Hamiltonians
- 引入三体自旋相互作用哈密顿量，简化能量景观。
- 在FPGA上实现收敛率提升数倍，面积开销几乎不变。
- 适合需要高速低功耗计算的可逆逻辑设计者。
本文提出基于多体哈密顿量的CMOS可逆逻辑（CIL）电路。CIL通过随机计算退火对应哈密顿量，实现函数的概率正向与反向运算。研究构建了包含三体自旋相互作用（概率节点）的哈密顿量，相比传统二体哈密顿量提供更自由的设计空间，使能量景观更简单，更容易达到全局最低能量。所提出的三体CIL电路在FPGA上与传统二体CIL电路对比评估，结果显示收敛率提高数倍，且面积开销可忽略不计。
原文摘要 · Abstract (English)
This paper introduces CMOS invertible-logic (CIL) circuits based on many-body Hamiltonians. CIL can realize probabilistic forward and backward operations of a function by annealing a corresponding Hamiltonian using stochastic computing. We have created a Hamiltonian that includes three-body interaction of spins (probabilistic nodes). It provides some degrees of freedom to design a simpler landscape of Hamiltonian (energy) than that of the conventional two-body Hamiltonian. The simpler landscape makes it easier to reach the global minimum energy. The proposed three-body CIL circuits are designed and evaluated with the conventional two-body CIL circuits, resulting in few-times higher convergence rates with negligible area overhead on FPGA.
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