# High Convergence Rates of CMOS Invertible Logic Circuits Based on Many-Body Hamiltonians

arXiv: https://arxiv.org/abs/2602.15033 · HTML: https://mlsanity.com/paper/2602.15033/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 18 references that are in the map.
- First posted on arXiv 22 Jan 2026.

## Builds on (most cited first, 1 of 1)

- [VLSI Implementation of Deep Neural Network Using Integral Stochastic Computing](https://mlsanity.com/paper/1509.08972/) (2015)

## Abstract (arXiv)

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.