Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Transactions on Applied Superconductivity

Wave-Pipelined eSFQ Circuits

Mark H. Volkmann, I. V. Vernik, Oleg A. Mukhanov

Published Dec 9, 2014• 19 citations
Publisher

Abstract

We have designed and tested energy-efficient single flux quantum (eSFQ) circuits suitable for wave-pipelined architectures. The high energy-efficiency of eSFQ circuits combined with the sequential nature of SFQ logic makes eSFQ especially suitable for energy-efficient variants of highly-pipelined circuits such as modern arithmetic logic units (ALUs), without penalty to the clock speeds available to RSFQ logic. In previous work, we have demonstrated working eSFQ circuits in the form of shift registers, deserializers, counters. Here we expand on this work by introducing a means of moving data through eSFQ circuits without the need for buffering at every step, resembling the wave-pipelined architecture characterizing many large modern logic circuits. Specifically, we present a pipeline-friendly JTL, confluence buffer, and half adder, comprising the core components of many adder architectures. We also show how such an eSFQ full adder naturally lends itself to utilization in a computation pipeline. We report experimental demonstration of circuits manufactured in Hypres's 4.5 kA/cm2process.

DOI
10.1109/tasc.2014.2379191

Related papers

Experimental Investigation of Energy-Efficient Digital Circuits Based on eSFQ Logic

Mark H. Volkmann, Anubhav Sahu, Coenrad Johann Fourie +1 more

We present the design and results of experimental verification methods for ultra-low-power digital circuits based on the recently introduced energy-efficient single flux quantum (eSFQ) logic. Similar to another low-power SFQ logic, ERSFQ, eSFQ circuits make use of superconducting dc bias current dividers and thus avoid static power dissipation. As a result, per-gate power dissipation is reduced by two orders of magnitude as compared to conventional rapid single flux quantum and static power dissipation is zero. The eSFQ circuits are fabricated using the HYPRES standard 4.5 kA/cm2process. We integrate a low-pass analog-to-digital modulator with our eSFQ deserializer to enable testing at high speed. In this paper, we demonstrate the viability and performance metrics of eSFQ circuits through functional and high-speed tests. Specifically, we confirmed correct operation and present measured parameter margins.

IEEE Transactions on Applied Superconductivity•Jan 16, 2013•30 citations

Implementation of energy efficient single flux quantum digital circuits with sub-aJ/bit operation

Mark H. Volkmann, Anubhav Sahu, Coenrad Johann Fourie +1 more

We report the first experimental demonstration of recently proposed energy efficient single flux quantum logic, eSFQ. This logic can represent the next generation of RSFQ logic, eliminating the dominant static power dissipation associated with a dc bias current distribution and providing over two orders of magnitude efficiency improvement over conventional RSFQ logic. We further demonstrate that the introduction of passive phase shifters allows the reduction of dynamic power dissipation by about 20%, reaching ∼0.8 aJ/bit operation. Two types of demonstration eSFQ circuit, shift registers and demultiplexers (deserializers), were implemented using the standard HYPRES 4.5 kA cm −2 fabrication process. In this paper, we present eSFQ circuit design and demonstrate the viability and performance metrics of eSFQ circuits through simulations and experimental testing.

arXiv:1209.6383•Superconductor Science and Technology•Nov 8, 2012•154 citations

Operation of practical eSFQ circuits

Mark H. Volkmann, Anubhav Sahu, Andriy V. Dotsenko +1 more

We have designed and tested energy-efficient single flux quantum (eSFQ) circuits for use in practical circuits. The first circuit is a 184-bit shift register for acquisition memory to store short transient events. The second circuit is a 16-bit deserializer integrated with an analog-to-digital converter modulator. The deserializer converts a high speed oversampling delta modulator 1-bit data stream into 16 parallel digital outputs at 1/16 of input data rate. In this work, we report preliminary functional and high-speed operation of some of these eSFQ circuits including their margins of operation at different clock speeds, maximum operation frequencies, and power dissipation.

IEEE International Superconductive Electronics Conference (ISEC)•Jul 1, 2013•6 citations

Design and test of asynchronous eSFQ circuits

I. V. Vernik, Steven B. Kaplan, Mark H. Volkmann +3 more

We designed and tested new energy-efficient single flux quantum (eSFQ) circuits. The eSFQ design approach is based on biasing logic gates via decision-making pairs (DMPs) which connect clock lines to synchronous gates. The eSFQ design of asynchronous gates is more challenging, since these gates are not clocked. We demonstrate eSFQ designs of asynchronous circuits and implemented two versions of eSFQ toggle flip-flops (eTFF) cells embedded in a synchronous shift register environment. The first design is based on the bias-free version of a TFF operating in the ballistic mode. In the second design, the TFFs dc bias is applied symmetrically, while the necessary half-quantum phase skew is achieved by magnetic flux bias, which can also be done with a pi-junction phase shifter. Surrounding shift registers are the eSFQ versions of the RSFQ shift register with two junctions per bit. In this work, we report the functional operation of these eSFQ circuits and their energy consumption.

Superconductor Science and Technology•Mar 18, 2014•23 citations

Construction of an RSFQ 4-Bit ALU With Half Adder Cells

J.Y. Kim, Soontae Kim, J.H. Kang

As part of the effort to develop a superconductive microprocessor, we constructed a rapid single flux quantum (RSFQ) 4-bit arithmetic and logic unit (ALU) in a pipelined structure. To speed up the circuit, we used a forward clocking scheme. The 4-bit ALU consisted of ten RSFQ Half Adders, four 2 /spl times/ 2 switches, and several D flip-flops. By commutating output ports of the half adder, we were able to produce AND, OR, XOR, and ADD functions. The 4-bit ALU was fabricated using the Korea Photonics Technology Institute's ten-level 1.0 kA/cm/sup 2/ Nb process. The size of the ALU was 3.0 mm /spl times/ 1.5 mm, fitting in a 5 mm /spl times/ 5 mm chip. The fabricated 1-bit ALU block was successfully tested at up to a 40 GHz clock frequency. The complete 4-bit ALU operated correctly at up to a 5 GHz clock frequency.

IEEE Transactions on Applied Superconductivity•Jun 1, 2005•17 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 Europe•Mar 1, 2019•11 citations
We have designed and tested energy-efficient single flux quantum (eSFQ) circuits suitable for wave-pipelined architectures. The high energy-efficiency of eSFQ circuits combined with the sequential nature of SFQ logic makes eSFQ especially suitable for energy-efficient variants of highly-pipelined circuits such as modern arithmetic logic units (ALUs), without penalty to the clock speeds available to RSFQ logic. In previous work, we have demonstrated working eSFQ circuits in the form of shift registers, deserializers, counters. Here we expand on this work by introducing a means of moving data through eSFQ circuits without the need for buffering at every step, resembling the wave-pipelined architecture characterizing many large modern logic circuits. Specifically, we present a pipeline-friendly JTL, confluence buffer, and half adder, comprising the core components of many adder architectures. We also show how such an eSFQ full adder naturally lends itself to utilization in a computation pipeline. We report experimental demonstration of circuits manufactured in Hypres's 4.5 kA/cm2process.
We present the design and results of experimental verification methods for ultra-low-power digital circuits based on the recently introduced energy-efficient single flux quantum (eSFQ) logic. Similar to another low-power SFQ logic, ERSFQ, eSFQ circuits make use of superconducting dc bias current dividers and thus avoid static power dissipation. As a result, per-gate power dissipation is reduced by two orders of magnitude as compared to conventional rapid single flux quantum and static power dissipation is zero. The eSFQ circuits are fabricated using the HYPRES standard 4.5 kA/cm2process. We integrate a low-pass analog-to-digital modulator with our eSFQ deserializer to enable testing at high speed. In this paper, we demonstrate the viability and performance metrics of eSFQ circuits through functional and high-speed tests. Specifically, we confirmed correct operation and present measured parameter margins.
We report the first experimental demonstration of recently proposed energy efficient single flux quantum logic, eSFQ. This logic can represent the next generation of RSFQ logic, eliminating the dominant static power dissipation associated with a dc bias current distribution and providing over two orders of magnitude efficiency improvement over conventional RSFQ logic. We further demonstrate that the introduction of passive phase shifters allows the reduction of dynamic power dissipation by about 20%, reaching ∼0.8 aJ/bit operation. Two types of demonstration eSFQ circuit, shift registers and demultiplexers (deserializers), were implemented using the standard HYPRES 4.5 kA cm −2 fabrication process. In this paper, we present eSFQ circuit design and demonstrate the viability and performance metrics of eSFQ circuits through simulations and experimental testing.
We have designed and tested energy-efficient single flux quantum (eSFQ) circuits for use in practical circuits. The first circuit is a 184-bit shift register for acquisition memory to store short transient events. The second circuit is a 16-bit deserializer integrated with an analog-to-digital converter modulator. The deserializer converts a high speed oversampling delta modulator 1-bit data stream into 16 parallel digital outputs at 1/16 of input data rate. In this work, we report preliminary functional and high-speed operation of some of these eSFQ circuits including their margins of operation at different clock speeds, maximum operation frequencies, and power dissipation.
We designed and tested new energy-efficient single flux quantum (eSFQ) circuits. The eSFQ design approach is based on biasing logic gates via decision-making pairs (DMPs) which connect clock lines to synchronous gates. The eSFQ design of asynchronous gates is more challenging, since these gates are not clocked. We demonstrate eSFQ designs of asynchronous circuits and implemented two versions of eSFQ toggle flip-flops (eTFF) cells embedded in a synchronous shift register environment. The first design is based on the bias-free version of a TFF operating in the ballistic mode. In the second design, the TFFs dc bias is applied symmetrically, while the necessary half-quantum phase skew is achieved by magnetic flux bias, which can also be done with a pi-junction phase shifter. Surrounding shift registers are the eSFQ versions of the RSFQ shift register with two junctions per bit. In this work, we report the functional operation of these eSFQ circuits and their energy consumption.
As part of the effort to develop a superconductive microprocessor, we constructed a rapid single flux quantum (RSFQ) 4-bit arithmetic and logic unit (ALU) in a pipelined structure. To speed up the circuit, we used a forward clocking scheme. The 4-bit ALU consisted of ten RSFQ Half Adders, four 2 /spl times/ 2 switches, and several D flip-flops. By commutating output ports of the half adder, we were able to produce AND, OR, XOR, and ADD functions. The 4-bit ALU was fabricated using the Korea Photonics Technology Institute's ten-level 1.0 kA/cm/sup 2/ Nb process. The size of the ALU was 3.0 mm /spl times/ 1.5 mm, fitting in a 5 mm /spl times/ 5 mm chip. The fabricated 1-bit ALU block was successfully tested at up to a 40 GHz clock frequency. The complete 4-bit ALU operated correctly at up to a 5 GHz clock frequency.
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.