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

Delay Analysis of Self-Timing-Aligned Clock Synchronization Technique for Superconductive SFQ Logic Circuits

Gyu Moon, J. Park, S. Lee, S. Lee, Jae-Kyung Wee

Published Jun 1, 2005• 1 citation
Publisher

Abstract

Delay analysis for superconductive Single Flux Quantum (SFQ) logic is performed for Self-Timing-Aligned Clock Synchronization Technique (STAC). With its pipelined-structure, the SFQ generates and propagates pulses that are to be processed sequentially through serial-connected functional logic blocks, and thus it is critical to acquire a ultra-high-speed and exactly synchronized clock/control signals with a few pico-second resolution. Both passive and Josephson-Junction circuits are investigated for the delay control. These delays, being connected in parallel with input line, and to the clocked-power/control node, produce a self-timing-aligned synchronization. Ways to achieve precision delays are seek by using Mo resistors along with junction inherent capacitors. Both current margins for the bias and critical timing information for the maximum throughput are also investigated. Layouts for the test SFQ circuits, such as D- and RS-flip-flops are done with XIC, and verifications are done through WRSpice with Hypres process parameters.

DOI
10.1109/tasc.2005.849798

Related papers

Metastability in Superconducting Single Flux Quantum (SFQ) Logic

Gourav Datta, Yunkun Lin, Bo Zhang +1 more

Superconducting digital electronics, especially Single Flux Quantum (SFQ), has emerged as a promising beyond-CMOS technology with Josephson junctions (JJ) as the active device. It has the potential to meet the booming demands of lower power consumption and higher operation speeds in the electronics industry and future exascale supercomputing systems. Despite these promises, scaling SFQ circuits remains a serious challenge that motivates the support of multiple SFQ clock domains. Towards this end, this paper analyzes the impact of setup time violations and metastability in SFQ circuits comparing the derived analytical models to their CMOS counterparts. It also proposes new techniques to reduce the average latency in metastability-tolerant SFQ synchronizers, and evaluates their effects on the layout and critical margin of the design. It further extends the proposed model to estimate the Mean Time Between Failure (MTBF) of flip-flop-based synchronizers and shows that their MTBF with the current feature sizes is unaffected by noise, similar to CMOS. Finally, it curve fits this model to simulations using the state-of-the-art SFQ5ee process and shows that a two-flop SFQ synchronizer with a clock frequency of 25 GHz has an estimated MTBF of ~106years.

IEEE Transactions on Circuits and Systems I Regular Papers•Feb 15, 2021•6 citations

Optimization of SFQ Logic Gate Considering Dependence of its Signal Propagation Delay on the Bias Voltage

Mikio Otsubo, Yuki Yamanashi, Nobuyuki Yoshikawa

Superconductive single flux quantum (SFQ) digital circuits can operate at a clock frequency of several tens of gigahertz. The operating margin of an SFQ logic circuit generally decreases with an increase in the operating frequency because of the timing error in the low-bias region caused by the difference in bias dependence of the signal-propagation delay between the data and clock lines. We proposed an improvement in the operating margin by controlling the dependence of the signal-propagation time on the bias voltage. In the present study, we investigated a new optimization method for an SFQ logic gate. We developed a new circuit parameter optimizer, which takes into account not only the bias margin but also the dependence of the signal-propagation delay on the bias voltage. We defined an appropriate evaluation function for the optimization. From the result of the optimization using the defined evaluation function, we designed and demonstrated an SFQ AND gate optimized using the new optimizer.

Physics Procedia•Jan 1, 2014•0 citations

Asynchronous circuits and systems in superconducting RSFQ digital technology

Z.J. Deng, Nobuyuki Yoshikawa, J. Tierno +2 more

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.

IEEE International Symposium on Asynchronous Circuits and Systems (ASYNC)•Nov 27, 2002•7 citations

Asynchronous Single Flux Quantum Logic Gates Using Self-Clocking

Yuki Yamanashi, Taisei Fujisawa, Zongyuan Li +1 more

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.

IEEE Transactions on Applied Superconductivity•Feb 10, 2023•7 citations

Design Approach of Dynamically Reconfigurable Single Flux Quantum Logic Gates

Yuki Yamanashi, 一朗 大河, Nobuyuki Yoshikawa

Novel reconfigurable superconductive single flux quantum (SFQ) logic devices, the functions of which can be dynamically reconfigured by inputting control signals, have been investigated. The characteristics of single flux quantum circuits can be easily modulated by applying currents or magnetic fields because of the high sensitivity of superconductive circuits. We investigated several design approaches for the realization of dynamically reconfigurable SFQ logic devices. We employed direct current injection to the logic gate using a non-destructive read-out flip-flop. By changing the internal state of the non-destructive read-out flip-flop, the logic function can be dynamically reconfigured. We have designed and tested a dynamically reconfigurable Josephson transmission line (JTL)/delay flip-flop (DFF) circuit. The measured dc bias margin was 72.5-107.2%. Furthermore, we have demonstrated the operation of a variable bit-length shift register, composed of the dynamically reconfigurable JTL/DFF circuits. The investigated design approach can be applied to more sophisticated dynamically reconfigurable single flux quantum logic gates.

IEEE Transactions on Applied Superconductivity•Dec 14, 2010•11 citations

A GHz-Level RSFQ Clock Distribution Technique with Bias Current Control in JTLs

W Cho, Jeong‐Gyu Lim, Gunhwi Moon

A novel clock distribution technique for pipelined-RSFQ logics using variable Bias Currents of JTLs as delay-medium is newly proposed. RSFQ logics consist of several logic gates or blocks connected in a pipeline structure. And each block has variable delay difference. In the structure, this clock distribution method generates a set of clock signals for each logic blocks with suitable corresponding delays. These delays, in the order of few to tens of pS, can be adjusted through controlling bias current of JTL of delay medium. While delays with resistor value and JJ size are fixed at fabrication stage, delay through bias current can be controlled externally, and thus, is heavily investigated for its range as well as correct operation within current margin. Possible ways of a standard delay library with modular structure are sought for further modularizing Pipelined-RSFQ applications. Simulations and verifications are done through WRSpice with Hypres 3-um process parameters.

Progress in Superconductivity and Cryogenics•May 1, 2006•0 citations
Delay analysis for superconductive Single Flux Quantum (SFQ) logic is performed for Self-Timing-Aligned Clock Synchronization Technique (STAC). With its pipelined-structure, the SFQ generates and propagates pulses that are to be processed sequentially through serial-connected functional logic blocks, and thus it is critical to acquire a ultra-high-speed and exactly synchronized clock/control signals with a few pico-second resolution. Both passive and Josephson-Junction circuits are investigated for the delay control. These delays, being connected in parallel with input line, and to the clocked-power/control node, produce a self-timing-aligned synchronization. Ways to achieve precision delays are seek by using Mo resistors along with junction inherent capacitors. Both current margins for the bias and critical timing information for the maximum throughput are also investigated. Layouts for the test SFQ circuits, such as D- and RS-flip-flops are done with XIC, and verifications are done through WRSpice with Hypres process parameters.
Superconducting digital electronics, especially Single Flux Quantum (SFQ), has emerged as a promising beyond-CMOS technology with Josephson junctions (JJ) as the active device. It has the potential to meet the booming demands of lower power consumption and higher operation speeds in the electronics industry and future exascale supercomputing systems. Despite these promises, scaling SFQ circuits remains a serious challenge that motivates the support of multiple SFQ clock domains. Towards this end, this paper analyzes the impact of setup time violations and metastability in SFQ circuits comparing the derived analytical models to their CMOS counterparts. It also proposes new techniques to reduce the average latency in metastability-tolerant SFQ synchronizers, and evaluates their effects on the layout and critical margin of the design. It further extends the proposed model to estimate the Mean Time Between Failure (MTBF) of flip-flop-based synchronizers and shows that their MTBF with the current feature sizes is unaffected by noise, similar to CMOS. Finally, it curve fits this model to simulations using the state-of-the-art SFQ5ee process and shows that a two-flop SFQ synchronizer with a clock frequency of 25 GHz has an estimated MTBF of ~106years.
Superconductive single flux quantum (SFQ) digital circuits can operate at a clock frequency of several tens of gigahertz. The operating margin of an SFQ logic circuit generally decreases with an increase in the operating frequency because of the timing error in the low-bias region caused by the difference in bias dependence of the signal-propagation delay between the data and clock lines. We proposed an improvement in the operating margin by controlling the dependence of the signal-propagation time on the bias voltage. In the present study, we investigated a new optimization method for an SFQ logic gate. We developed a new circuit parameter optimizer, which takes into account not only the bias margin but also the dependence of the signal-propagation delay on the bias voltage. We defined an appropriate evaluation function for the optimization. From the result of the optimization using the defined evaluation function, we designed and demonstrated an SFQ AND gate optimized using the new optimizer.
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.
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.
Novel reconfigurable superconductive single flux quantum (SFQ) logic devices, the functions of which can be dynamically reconfigured by inputting control signals, have been investigated. The characteristics of single flux quantum circuits can be easily modulated by applying currents or magnetic fields because of the high sensitivity of superconductive circuits. We investigated several design approaches for the realization of dynamically reconfigurable SFQ logic devices. We employed direct current injection to the logic gate using a non-destructive read-out flip-flop. By changing the internal state of the non-destructive read-out flip-flop, the logic function can be dynamically reconfigured. We have designed and tested a dynamically reconfigurable Josephson transmission line (JTL)/delay flip-flop (DFF) circuit. The measured dc bias margin was 72.5-107.2%. Furthermore, we have demonstrated the operation of a variable bit-length shift register, composed of the dynamically reconfigurable JTL/DFF circuits. The investigated design approach can be applied to more sophisticated dynamically reconfigurable single flux quantum logic gates.
A novel clock distribution technique for pipelined-RSFQ logics using variable Bias Currents of JTLs as delay-medium is newly proposed. RSFQ logics consist of several logic gates or blocks connected in a pipeline structure. And each block has variable delay difference. In the structure, this clock distribution method generates a set of clock signals for each logic blocks with suitable corresponding delays. These delays, in the order of few to tens of pS, can be adjusted through controlling bias current of JTL of delay medium. While delays with resistor value and JJ size are fixed at fabrication stage, delay through bias current can be controlled externally, and thus, is heavily investigated for its range as well as correct operation within current margin. Possible ways of a standard delay library with modular structure are sought for further modularizing Pipelined-RSFQ applications. Simulations and verifications are done through WRSpice with Hypres 3-um process parameters.