Presentation Information

[ED4-04]Demonstration of A Small-Area Unary Arithmetic Logic Unit using Single Flux Quantum Circuits

*Zeyu Han1, Nobuyuki Yoshikawa1,2,3, Yuki Yamanashi1,2,3 (1. Department of Electrical and Computer Engineering, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan (Japan), 2. Institute of Advanced Sciences, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan (Japan), 3. Institute for Multidisciplinary Sciences, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan (Japan))
PDF DownloadDownload PDF

Keywords:

Unary Computing,Arithmetic Logic Unit,Single Flux Quantum Circuits

Abstract
The Single-Flux-Quantum (SFQ) circuit has emerged as a promising technology for integrated systems, offering high-speed operation and low power consumption. However, the area limitations of current superconducting circuit fabrication technologies pose significant challenges for constructing large-scale SFQ systems. To tackle this challenge, various unconventional computing paradigms have been explored to implement complex operations using simple logic gate circuits. One such approach is unary computing (UC) [1], which represents values by the count of “1”s and clusters all “1”s at the head of a bit sequence. In this work, we design a novel small-area UC-based arithmetic logic unit (ALU) for SFQ circuits. Our ALU implements addition, subtraction, maximum, minimum, and logic operations using only a few logic gates and three NDROs. The test circuits for the proposed ALU, consisting of 1598 Josephson junctions, were fabricated using the AIST HSTP with a critical current density of 10 kA/cm² and experimentally verified to operate correctly at frequencies above 60 GHz. Compared to a bit-serial ALU [2], our design reduces the count of logic gates by approximately 55% and achieves a 96% area reduction relative to a 4-bit bit-slice ALU [3]. These results demonstrate that UC-based ALU can realize ultrafast computation with small hardware overhead for energy-efficient superconducting processors.

Acknowledgment
This work was supported by JSPS KAKENHI Grant Number JP24KJ1148 and JP25K01284. This work was also supported by Support Center for Advanced Telecommunications Technology Research (SCAT). The circuits were fabricated in the Superconducting Quantum Circuit Fabrication Facility (Qufab) in National Institute of Advanced Industrial Science and Technology (AIST).

References
[1] S. Kak, Circuits Syst. Signal Process., vol. 35, no. 4, pp. 1419–1426, Jul. 2016.
[2] M. Tanaka et al., Physica C, vol.426-431, pp. 1693-1698, Oct. 2005
[3] G. M. Tang et al., IEEE Trans. Appl. Supercond., vol. 26, no. 1, Art. no. 1300106, Jan. 2016.