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International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC)

Combinational Logic Computing for Single-Flux Quantum Circuits with Asynchronous Collision-Based Fusion Gates

Kazuhito Yamada, Tetsuya Asai, Yoshihito Amemiya

Published Jul 1, 2008• 3 citations
OpenAlex

Abstract

We propose a single-flux-quantum (SFQ) logic system based on the reactiondiffusion-collision fusion computation. The fusion computation is a way of digital processing that performs logic operation by applying analogy of nonlinear physical and chemical systems to the structure of the logic operation. It is very powerful for implementing a given digital operation with a small number of logic gates. A fusion computation system consists of regularly arrayed unit cells, where each cell has two input arms and two output arms and is connected to its neighboring cells with the arms. Each cell accepts two input signals A and B and produces two output signals AB and AB. A fusion computation system, as a whole, can operate any combinational logic function. We designed functional SFQ circuits that implemented the fusion computation. The unit cell was able to be made with ten Josephson junctions. Circuit simulation showed that SFQ fusion computation systems could operate at very high speed, about ten times faster than conventional CMOS logic systems.

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We propose a single-flux-quantum (SFQ) logic system based on the reactiondiffusion-collision fusion computation. The fusion computation is a way of digital processing that performs logic operation by applying analogy of nonlinear physical and chemical systems to the structure of the logic operation. It is very powerful for implementing a given digital operation with a small number of logic gates. A fusion computation system consists of regularly arrayed unit cells, where each cell has two input arms and two output arms and is connected to its neighboring cells with the arms. Each cell accepts two input signals A and B and produces two output signals AB and AB. A fusion computation system, as a whole, can operate any combinational logic function. We designed functional SFQ circuits that implemented the fusion computation. The unit cell was able to be made with ten Josephson junctions. Circuit simulation showed that SFQ fusion computation systems could operate at very high speed, about ten times faster than conventional CMOS logic systems.
Single-flux quantum logic (SFQ) circuits, in which a flux quantum is used as an information carrier, have the possibility for opening the door to a new digital system operated at over 100-GHz clock frequency at extremely low power dissipation. The SFQ logic system is a so-called pulse logic, which is completely different from the level logic for semiconductors like CMOS, so circuit design technologies for SFQ logic circuits have to be newly developed. Recently, much progress in basic technologies for designing SFQ circuits and operating circuits at high speeds has been made. With advances in these design tools, large-scale circuits including more than several thousand junctions can be easily operated with the clock frequency of more than several tens of gigahertz. High-end routers and high-end computers are possible applications of SFQ logic circuits because of their high throughput nature and the low power dissipation of SFQ logic. In this paper, recent advances of SFQ circuit design technologies and recent developments of switches for high-end routers and microprocessors for high-end computers that are considered possible applications for SFQ logic will be described.
This paper presents a basic circuit concept for pulse-driven asynchronous circuits using superconducting rapid single-flux-quantum (RSFQ) logic gates. Today's computer systems perform using a synchronous clock distributed over the whole system. The distribution of the clock signal becomes more difficult as the clock frequency increases because the wavelength of the clock signal becomes shorter than the system size. One way to solve this problem is to use asynchronous circuits in which all circuits perform their functions only under the law of cause and effect. We propose an implementation of the basic asynchronous circuit performing OR/AND logic operations between SFQ pulses. The operations are confirmed by SPICE simulation. We will show a design method for combinational circuits using the proposed basic circuits.
Single-flux-quantum (SFQ) technology is a novel technology where binary information is represented by a single flux. It enables us to realize high-speed, low-power SFQ logic circuits, surpassing conventional complementary metal-oxide-silicon (CMOS) technology. We proposed an SFQ packet switch to avoid the bottlenecks in broadband networks of the future. To demonstrate high-speed operation of an SFQ logic circuit and its application to our switch architecture, we designed a cross/bar switch. It consists of 13 logic gates and 581 Josephson junctions were used in the layout. We confirmed correct operations up to 33 GHz in simulation. We placed the switch circuit in an on-chip test system for high-speed (over 10 GHz) test. Including I/O circuits, the system as a whole consists of 1236 Josephson junctions. The chip was fabricated by using NEC's standard Nb process. We carried out an on-chip test and found correct operations up to 35 GHz.
We propose an asynchronous single flux quantum (SFQ) logic gate composed of a conventional clocked logic gate and an input signal merger that generates a self-clock for the clocked logic gate. By using this self-clocking, we can design any 0-preserving logic gate, including exclusive OR (XOR). The proposed asynchronous SFQ logic gates have adjustable allowable input skew by varying the delay between the merger and internal clock input for the clocked logic gate. We design and evaluate the asynchronous AND, OR, and XOR gates that have an allowable input skew of approximately 8 ps assuming the use of the 10 kA/cm2Nb fabrication process using the proposed design method. We experimentally confirm the correct operation of the asynchronous SFQ XOR gate. We design a completely asynchronous 4-bit-input carry-lookahead adder (CLA) using the designed asynchronous gates. We found that the circuit area and number of Josephson junctions required to design a 4-bit-input CLA can be reduced by > 50% compared to that of the synchronous concurrent-flow 4-bit-input CLA without deterioration of the throughput.
We are introducing a new subfamily of rapid single-flux-quantum (RSFQ) digital cells, based on a single B flip-flop template. The template can be considered as an SFQ flip-flop with up to 4 inputs and 6 outputs. Each input SFQ pulse can change the flip-flop's internal state. Each output presents (in the form of SFQ pulses a specific logic function of the initial state of the cell and input signals. Simple connection of various inputs and/or outputs, combined with shortening or opening of certain branches of the template allows one to implement a variety of RSFQ cells with wide margins. Of these various RSFQ cells, we have designed and successfully tested the T1 cell (asynchronous toggle flip-flop with synchronous destructive readout), single-bit full adder, and single-bit stage of an up-down counter. Experimentally measured margins for dc power supply voltage for these circuits were /spl plusmn/24%, /spl plusmn/24%, and /spl plusmn/17%, respectively.>
Superconductive Rapid Single Flux Quantum (RSFQ) logic and memory, in which ones and zeros are represented by the presence or absence within a timing window of quantized picosecond voltage pulse (/spl int/v(t)dt=h/2e=2.07 mV/spl middot/ps), corresponding to one SFQ, can be integrated into a digital computing system with an operating rate of several tens of GHz, based on the present Nb Josephson junction integrated circuit technology. It is the most promising technology beyond semiconductor transistors for low-power high-end computation. However, as the operating speed of circuits and systems increase, timing uncertainty from fabrication process variations makes global synchronization very hard. In this paper, we present a globally asynchronous, locally synchronous timing methodology for RSFQ digital design, which can solve the global synchronization problem. We also demonstrate the recent experimental results of some asynchronous circuits and systems implemented in RSFQ technology. Several key components such as a self-timed shift register, a self-timed demultiplexor, a Muller-C element, a completion detector, and a clock generator have been designed and tested. High speed operation has been confirmed up to 20 Gb/s for a prototype data buffer system, which consists two self-timed shift registers and an on-chip 5-38 GHz clock generator.