International Conference on Nextgen Electronic Technologies: Silicon to Software (ICNETS2)

Quantum computation based on Reciprocal Quantum logic

S. Narendran, J. Selvakumar

Published Mar 1, 2017• 3 citations

Abstract

This paper gives a newfangled dimension to superconducting logic which is the successor of CMOS logic and other superconducting quantum logic. Reciprocal Quantum logic (RQL) is proposed to achieve the less memory capability. RQL is a modified version of Rapid Single Flux Quantum (RSFQ). We designed and analyzed different RQL logic like half adder, full adder, counter, and Carry Save Adder (CSA) and we achieved an increase in clock speed compared to RSFQ logic by 20%. The designs are made of AndOr and AnotB gate operation and analyzed using WRSPICE software.

DOI: 10.1109/icnets2.2017.8067892

Related papers

Superconducting Logic Circuits Operating With Reciprocal Magnetic Flux Quanta

Oliver T. Oberg

Complimentary Medal-Oxide Semiconductor (CMOS) technology is expected to soon reach its fundamental limits of operation. The fundamental speed limit of about 4 GHz has already effectively been sidestepped by parallelization. This increases raw processing power but does nothing to improve power dissipation or latency. One approach for increasing computing performance involves using superconducting digital logic circuits. In this thesis I describe a new kind of superconducting logic, invented by Quentin Herr at Northrop Grumman, which uses reciprocal pairs of quantized single magnetic flux pulses to encode classical bits. In Reciprocal Quantum Logic (RQL) the data is encoded in integer units of the magnetic flux quantum. RQL gates operate without the bias resistors of previous superconducting logic families and dissipate several orders of magnitude less power. I demonstrate the basic operation of key RQL gates (AndOr, AnotB, Set/Reset) and show their self-resetting properties. Together, these gates form a universal logic set and provide memory capabilities. Experiments measuring the bit error rate of the AndOr gate extrapolated a minimum BER of 10−480 and a BER of 10−44 with 30% margins on flux biasing. I describe an analytic timing model for RQL gates which demonstrates the self-correcting timing features. From this model I derive equations for the timing behavior and operating limits. Using this timing model I ran simulations to determine correction factions for more accurate predictions at higher frequencies. Using these results, I also develop Very High Speed Integrated Circuit (VHSIC) Hardware Description Language (VHDL) models to describe the combinational logic of RQL gates. To test the timing predictions of the timing model, I performed three experiments on Nb/AlOx/Nb circuits at 4.2 K. The first measured the time of output. The second measured the operating margins of the circuit. The third measured the maximum frequency of operation for RQL circuits. Together, these three experiments showed quantitative agreement with the model for the timing output, qualitative agreement with the limits of operation, and a projected speed limit of 50 GHz for the Hypres 4.5 kA/cm2 process. To power RQL circuits I describe a new design for power splitters and combiners which minimize standing waves. I describe a new kind of Wilkinson power splitter which required numerical optimization but proved to be adequate. I experimentally tested two new designs of the power splitter. Both showed less than 10% variation in standing waves between power splitter and combiner, making it adequate for RQL circuits. I also compared these results with the S-parameters of the power network, which also indicated that the design was adequate for RQL circuits. Finally, I tested an 8-bit Kogge-Stone architecture carry-look ahead adder designed using VHDL models. The adder contained 815 Josephson junctions and was fully functional at 6.21 GHz with a latency of 1.25 clock cycles. The adder produced the correct logical output, had a measured optimal operating point within 8% of the optimal simulated operating point, and measured power margins of 1 dB. It operated best at the designed clock amplitude of 0.88 Ic and dissipated 0.570 mW of power.

Jan 1, 201115 citations

Optimised asynchronous self-timing for superconducting RSFQ logic circuits

H.R. Gerber, Coenrad Johann Fourie, Willem Jakobus Perold

Rapid single flux quantum (RSFQ) logic is a digital circuit technology that in recent years has presented itself as an alternative to semiconductors in the application of ultra high speed, very low power applications. The optimal timing of digital circuits operating at hundreds of GHz is still a complex problem for both RSFQ and semiconductor technologies. The fact that most RSFQ gates require a clock signal to function makes this even more complex. Various RSFQ timing schemes have been adapted from semiconductor design methodologies, and some have been designed specifically for RSFQ. Currently, synchronous clocking schemes outperform other schemes, but with the scale of RSFQ circuits ever increasing, the proper use of timing schemes are becoming more crucial. This paper describes a new asynchronous self-timing scheme where the details of clock distribution and clocking are built into the logic gates. Tests were done on the newly developed asynchronous logic gates and an asynchronous full adder was implemented and tested

IEEE AFRICONApr 6, 20052 citations

Energy-Efficient Local Storage Design With Superconductor Reciprocal Quantum Logic

Zuoting Chen

Superconductor single flux quantum (SFQ) technology is one of the promising candidates for energy-efficient high-performance computing. A new generation of SFQ logics, Reciprocal Quantum Logic (RQL) with no static power dissipation in bias resistors, offers an opportunity to dramatically decrease energy consumption in superconductor processors. Although several low complexity RQL processing units have already been demonstrated, the use of RQL for local storage design has not been explored yet. The objective of this dissertation is to design on-chip local storage structures such as memory, register files, and caches with RQL technology and analyze their energy efficiency, complexity, and performance characteristics. The physical chip design of these RQL storage units is not feasible at this point because both CAD tools for physical VLSI chip design and as well as a target fabrication process are under development at Northrop-Grumman Systems Corp. (Baltimore, MD) and MIT Lincoln Laboratory, respectively. In order to achieve our goal, the layout-aware cell-level design process using VHDL RQL cell library developed at the Ultra High Speed Computing Lab in Stony Brook University has been used. The SBU VHDL RQL cell library specifies the dynamic and stand-by energy consumption, latency, JJ complexity, and approximate sizes of individual cells based on the input received from the JJ-level RQL designers. Clock propagation skew and wire delays are accounted for during circuit simulation. The circuit simulation is done with Mentor Graphics design and verification tools. As a result of the work, key characteristics of the 8.5 GHz multiported RQL storage structures with their capacity in the range of 1-4 kbit have been determined. The average energy consumption of the RQL storage designs is ~3.0-9.5 fJ/bit/operation at room temperature and the cryo-cooling efficiency is 0.1%. The data from this dissertation also reveal the critical issues that need to be considered in the RQL storage design. These will be helpful for further development on superconductor VLSI design. | 124 pages

May 1, 20151 citation

Demonstration of superconducting memory with passive transmission line-based reads

Randy Posey, Randall Burnett, Quentin Herr +1 more

Reciprocal Quantum Logic (RQL) is a superconducting logic family that operates at significantly lower power than conventional CMOS. RQL gate-based memories have been demonstrated, but have limited scaling due to clocked Josephson transmission line (JTL) signal propagation. Here we present a form of superconducting memory that utilizes an RQL write-path in conjunction with a faster, RF transmission-line-based read path, known as passive random access memory (PRAM).

International Symposium on Memory Systems (MEMSYS)Sep 30, 20191 citation

IDE Development, Logic Synthesis and Buffer/Splitter Insertion Framework for Adiabatic Quantum-Flux-Parametron Superconducting Circuits

Ruizhe Cai, Xiaolong Ma, Olivia Chen +4 more

Josephson Junction (JJ) based superconductor logic families have been proposed and implemented to process analog and digital signals [1] for its low energy dissipation and ultrafast switching speed. Thanks to its construction of resistance-less wires and ultrafast switches, it can operate at clock frequencies of several tens of gigahertz and even hundreds of thousands of times as energy efficient as its CMOS counterparts. It has been perceived to be an important candidate to replace stateof-the-art CMOS due to the superior potential in operation speed and energy efficiency, as recognized by the U.S. IARPA C3 and SuperTools Programs and Japan MEXT-JSPS Project. The design and fabrication of superconducting circuits have already been established [2]-[4]. In addition, a prototype superconducting microprocessor "Core 1" has been demonstrated in 2004 [3], which is able to execute instructions at a high clock frequency of several tens of gigahertz, and with extremely low-power dissipation. These achievements make superconducting electronics highly promising for future high-performance computing applications. As one of the most matured superconducting technology, the Rapid-Single-Flux-Quantum (RSFQ) technology is proposed by K. Likharev, O. Mukhanoc, V. Semenov in 1985 [1]. Despite its capability to be operated at an ultra-high speed of hundreds of GHz while maintaining extremely low switching energy (10^-19 J), it suffers from an increasing static power due to on-chip resistors that are required for constant DC bias supply for the main RSFQ circuit. Numerous methods have been proposed to resolve the static power dissipation problem of RSFQ, including low-voltage RSFQ (LV-RSFQ) [5], reciprocal quantum logic (RQL) [6], LRbiased RSFQ [7] and energy-efficient single-flux quantum (eSFQ) [8]. The Adiabatic Quantum-Flux-Parametron (AQFP) technology, on the other hand, uses AC bias/excitation currents as both multiphase clock signal and power supply [9] to mitigate the power consumption overhead of DC bias while operating at a frequency of few GHz. Consequently, AQFP is remarkably energy efficient compared to RSFQ, albeit operating at a lower frequency. The energy-delay-product (EDP) of the AQFP circuits fabricated using processes such as the AIST standard process 2 (STP2) and the MIT-LL SFQ process [10], [11], is at least 200 times smaller than those of the other energy-efficient superconductor logics and is only three orders of magnitude larger than the quantum limit [9]. Physical testing results of an AQFP 8-bit carry-look-ahead adder and large scale circuits consisting up-to 10,000 AQFP logic gates have demonstrated the AQFP being a promising technology that is robust against circuit parameter variations [12]. Despite the high application potential of AQFP in VLSI circuits, a systematic, automatic synthesis framework for AQFP is imminent. There are two features of AQFP that restrict conventional CMOS synthesis methods being directly applied on AQFP. In spite of And-Or-Inverter(AOI) based representation, which conventional CMOS circuits highly relies on, AQFP circuits prefer majority gates. In fact, its two inputs AND and OR gates are also built with three inputs majority gate with one input being constant. In addition, given its clock-synchronized data propagation nature, AQFP technology requires all inputs to any gate having equal delay. In order to meet this balanced timing requirement, splitters and buffers need to be inserted to the circuit. As a matter of fact, some circuit size can be doubled even with optimum amount of buffers and splitters inserted. The buffer and splitter insertion method can have a huge impact on the overall resource consumption. As the design complexity increases, an unoptimized buffer and splitter insertion method could result in huge amount of unnecessary buffers and splitters added. In addition to a complete synthesis framework, an Integrated Development Environment (IDE) for AQFP design is also lacking. It is imminent to have an IDE for AQFP integrating tools that offer schematic and layout editor, simulation and analysis for better and more efficient AQFP design flow. In this paper, we propose a complete design tool for AQFP design including an Integrated Development Environment (IDE), a complete majority based synthesis framework and a buffer and splitter insertion framework. we propose a majority gates synthesis framework for AQFP circuits that is capable of converting any AOI netlist to its corresponding MAJ netlist by mapping all feasible three-input sub-netlists to corresponding MAJ based implementations. In addition, we also propose an automated buffer and splitter insertion method that is capable of adding the optimum amount of buffers and splitters to any given gate-level netlist. The proposed method can find the minimum amount of buffers and splitters to inserted to achieve equal delay with any library limitation on the size of splitters. Experimental results suggest that the proposed methods can deliver very optimized results. The majority conversion tool can reduce circuit size by an average of 16:47% and delay by 30:21% in average. The buffer and splitter insertion tool only introduces an average of 14:24% overhead in size and 4:70% delay with splitter fanout size limited to 4 compared to an unachievable ideal results with no limitations on splitter fan-out size. Overall, the balanced design in majority gates can be reduced by 23:85% and 29:54% in size and delay compared to its AND/OR/Inverter implemented counterpart.

IEEE Computer Society Annual Symposium on VLSIJul 1, 20199 citations

Challenges and the status of superconducting single flux quantum technology

Naveen Kumar Katam, Jamil Kawa, Massoud Pedram

Design and manufacturing of superconductive electronics have been evolving over the past three decades with significant progress made in related fields. Rapid single flux quantum (RSFQ) logic circuits have become popular among superconductive logic families and its energy-efficient variants (ERSFQ and eSFQ) have shown promise as an ultra lowpower and high-speed circuit fabric. SFQ circuits have been demonstrated at tens of GHz with an energy consumption of an attojoule per gate. There are many differences between SFQ and conventional CMOS circuits. SFQ logic circuits are based on the manipulation of the quantized magnetic flux pulses. Most of the logic gates are sequential in nature requiring the clock to be distributed to every logic gate. SFQ logic gates have no gain and hence splitters are needed to drive multiple fanouts. Design and successful demonstration of a controllable superconducting switch and a compact reliable memory element have evaded researchers so far. This paper starts by describing key differences between SFQ logic and conventional CMOS and concludes by listing key challenges that must be overcome to achieve the very large scale integration of SFQ circuits and make the demonstration of a superconductive CPU a reality.

Design, Automation, and Test in EuropeMar 1, 201911 citations