TY - JOUR
T1 - Many-Body Effects-Based Invertible Logic With a Simple Energy Landscape and High Accuracy
AU - He, Yihan
AU - Fang, Chao
AU - Luo, Sheng
AU - Liang, Gengchiau
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - Inspired by many-body effects, we propose a novel design for Boltzmann machine (BM)-based invertible logic (IL) using probabilistic bits (p-bits). A CMOS-based XNOR gate is derived to serve as the hardware implementation of many-body interactions, and an IL family is built based on this design. Compared to the conventional two-body-based design framework, the many-body-based design enables compact configuration and provides the simplest binarized energy landscape for fundamental IL gates; furthermore, we demonstrate the composability of the many-body-based IL circuit by merging modular building blocks into large-scale integer factorizers (IFs). To optimize the energy landscape of large-scale combinatorial IL circuits, we introduce degeneracy in energy levels, which enlarges the probabilities for the lowest states. Circuit simulations of our IFs reveal a significant boost in factorization accuracy. An example of a 2- ×2 -bit IF demonstrated an increment of factorization accuracy from 64.99% to 91.44% with a reduction in the number of energy levels from 32 to 9. Similarly, our 6- ×6 -bit IF increases the accuracy from 4.430% to 83.65% with the many-body design. Overall, the many-body-based design scheme provides promising results for future IL circuit designs.
AB - Inspired by many-body effects, we propose a novel design for Boltzmann machine (BM)-based invertible logic (IL) using probabilistic bits (p-bits). A CMOS-based XNOR gate is derived to serve as the hardware implementation of many-body interactions, and an IL family is built based on this design. Compared to the conventional two-body-based design framework, the many-body-based design enables compact configuration and provides the simplest binarized energy landscape for fundamental IL gates; furthermore, we demonstrate the composability of the many-body-based IL circuit by merging modular building blocks into large-scale integer factorizers (IFs). To optimize the energy landscape of large-scale combinatorial IL circuits, we introduce degeneracy in energy levels, which enlarges the probabilities for the lowest states. Circuit simulations of our IFs reveal a significant boost in factorization accuracy. An example of a 2- ×2 -bit IF demonstrated an increment of factorization accuracy from 64.99% to 91.44% with a reduction in the number of energy levels from 32 to 9. Similarly, our 6- ×6 -bit IF increases the accuracy from 4.430% to 83.65% with the many-body design. Overall, the many-body-based design scheme provides promising results for future IL circuit designs.
KW - Integer factorizer (IF)
KW - invertible logic (IL)
KW - many-body interactions
KW - probabilistic bit (p-bit)
KW - probabilistic computing
UR - http://www.scopus.com/inward/record.url?scp=85173049269&partnerID=8YFLogxK
U2 - 10.1109/JXCDC.2023.3320230
DO - 10.1109/JXCDC.2023.3320230
M3 - Article
AN - SCOPUS:85173049269
SN - 2329-9231
VL - 9
SP - 83
EP - 91
JO - IEEE Journal on Exploratory Solid-State Computational Devices and Circuits
JF - IEEE Journal on Exploratory Solid-State Computational Devices and Circuits
IS - 2
ER -