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

A New Test Approach to Taking Negative Bias Currents as Optimization Parameters for RSFQ Circuits

Minghui Zhang, Minghui Niu, Xiaoping Gao, Huanli Liu, Jia-Hong Yang, Xiangyu Zheng, Wenqing Hui, Guang-Ming Tang, Jie Ren

Published Apr 30, 2025• 1 citation
Publisher

Abstract

The magnetic fields induced by the bias currents and the return currents flowing on a ground plane have a great influence on the performance of complex RSFQ circuits. Conventional approach applies equal negative bias currents to the ground contacts adjacent to the bias supply contacts to alleviate this problem, but this strategy may not be optimal when the power supply network is complex. We propose a new test approach to adjusting the negative bias currents independently. By changing the current distribution and thereby altering the spatial distribution of the magnetic field across the chip, this approach can make the circuit work, or make the circuit work more stably. Experimental validation on two 8-bit RSFQ CPUs demonstrated the approach's efficacy: redistributing negative currents restored functionality in a non-operational circuit and eliminated the intermittent failure in another. These results highlight the critical role of adjusting current distribution in overcoming magnetic interference, offering a practical solution for testing and optimizing the power supply of complex RSFQ circuits where conventional approach falls short.

DOI
10.1109/tasc.2025.3565743

Related papers

Effects of Superconducting Return Currents on RSFQ Circuit Performance

Alan M. Kadin, R.J. Webber, Saad M. Sarwana

Complex RSFQ circuits are typically dc-biased with one or more current bias trees, with current returning through a superconducting ground plane. As the bias currents become larger in more complex circuits, it is increasingly critical to pay attention to the distribution of these return currents, and the effects of the resulting magnetic fields on the performance of the RSFQ circuits. We have modeled the current and field distributions, and found that magnetic field and flux are indeed significant. This has been confirmed by direct measurement using a distribution of SQUIDs. Furthermore, we have measured the performance of several RSFQ circuits, and have found that currents in the ground plane can significantly affect performance margins. Approaches to circuit and system designs that can reduce these problems are discussed.

IEEE Transactions on Applied Superconductivity•Jun 1, 2005•40 citations

Magnetic Field Uniformity as a Metric for RSFQ Circuit Bias Current Supply Optimization

Minghui Niu, Minghui Zhang, Shucheng Yang +3 more

A key challenge in scaling up rapid single flux quantum (RSFQ) circuits is managing the magnetic interference caused by their bias current distributions. This paper establishes a simulation-driven framework for optimizing RSFQ circuit bias current supply configurations using magnetic field uniformity as the primary metric. Through Ansys HFSS 3D electromagnetic simulations and subsequent data processing, we demonstrated that magnetic field uniformity—rather than absolute intensity—exhibits a stronger correlation with circuit success probability. We developed a quantitative scoring metric to systematically compare and select bias current configurations. Applying this scoring metric to an 8-bit central processing unit (CPU) series, we found that the fully functional version exhibits 6.0% lower magnetic field non-uniformity in the arithmetic logic unit (ALU) block compared to the non-functional one. The proposed method provides a viable approach to optimizing the layout of large-scale RSFQ circuit, specifically to the design of the bias current supply network.

IEEE Transactions on Applied Superconductivity•May 14, 2026•0 citations

Influence of the Bias Supply Lines on the Performance of RSFQ Circuits

E. Tolkacheva, Henrik Engseth, Irina Kataeva +1 more

Two effects of the bias supply line on the performance of RSFQ circuits have been studied: inductive coupling between the bias supply line and circuit inductances; effect of the mirrored current in the ground plane. The following results of the study are presented: 3D calculations and experimental measurements of inductive coupling between parallel and perpendicular microstrips in presence of one and two ground planes; calculated margins dependence on the external magnetic field in RSFQ cell. Bias current density extraction method has been developed and implemented in RSFQ circuit design flow.

IEEE Transactions on Applied Superconductivity•Jun 1, 2005•17 citations

Current recycling and SFQ signal transfer in large scale RSFQ circuits

H. Kang, Steven B. Kaplan

The practical implementation of RSFQ technology in most digital electronics application areas requires much more complexity than the presently developed circuits. There are two important issues in building large-scale RSFQ circuits: 1) the recycling of the bias currents and 2) the transfer of SFQ pulses between circuits located far apart. RSFQ circuits are well known to operate with DC current bias. Even though the DC current biasing is more forgiving than the problematic AC biasing, it can still be a big concern when the circuit size becomes large. Dramatic reduction of the total bias current can be achieved by biasing several RSFQ circuits in series, where each circuit is positioned on a separate ground plane. In this work, we have used magnetically coupled Josephson transmission lines as inputs and outputs of an isolated shift register to show the feasibility of using the concept of serial biasing in current recycling. The circuit was simulated, fabricated with Nb technology, and tested at a temperature of 4.2 K. Test results show that SFQ pulses were transferred into the shift register built on a separate ground plane, clocked through it, and sent out back to the circuit on the original ground plane. We also studied on how to transfer SFQ pulses over an extended length, an important issue in building large RSFQ circuits. We have designed the circuits to test our microstrip line and multichip module approaches. We designed, optimized, fabricated and tested the circuits. Test results show that SFQ pulses can be successfully transmitted over an extensive distance in a chip and between chips.

IEEE Transactions on Applied Superconductivity•Jun 1, 2003•58 citations

The effects of Dc bias current in large-scale SFQ circuits

Hirotaka Terai, Y. Kameda, Shinichi Yorozu +2 more

The supply of bias current is one of the key problems to be overcome for fully operational large-scale SFQ circuits. Large currents cause various undesirable effects that degrade circuit operation. The magnetic field induced by a large DC bias current affects the operation of several SFQ cells, even with a microstrip-line structure applied for the bias lines. In this paper, experimental results using SQUIDs show that bias-line shielding is the most effective way to reduce the effect of the DC bias current. The operating margins of SFQ cells were also found to be sensitive to the current in the ground plane. The location of a ground bonding should be close to the point of current injection if we wish to avoid undesirable diffusion of current through the ground plane. We confirmed the effectiveness of bias-line shielding and of the location of ground bonding with a circuit composed of about 500 junctions.

IEEE Transactions on Applied Superconductivity•Jun 1, 2003•54 citations

Current Recycling in Heterogeneous RSFQ Circuits

Tejumadejesu Oluwadamilare, Eby G. Friedman

As single flux quantum (SFQ) circuit complexities scale, larger bias currents are required. The large current produces excessive heat and greatly complicates the design process. Current recycling offers a solution by reducing the required bias current through serially biased circuit blocks. Serial biasing is typically achieved in homogeneous SFQ systems where similar bias currents are required in similar circuits. Each of these homogeneous circuits is often placed on different ground planes and serially biased to reuse the bias currents. To address heterogeneous circuits with varying bias current requirements, a novel serial biasing technique is proposed. An interface between the ground planes with unequal bias current is presented that exhibits a current balancing capability. The interface supplies additional current before passing the current to the next ground plane. The ground planes are arranged in ascending order of bias current to manage the complexity of these heterogeneous circuits. Using a one bit SFQ full adder as an example, the proposed approach demonstrates several key benefits: a 49% reduction in the number of driver-receiver pairs, a 6.5% reduction in power dissipation, and a 35% reduction in bias current across a heterogeneous SFQ circuit placed on three isolated ground planes. The performance, bias current margins, and methods for current reduction are also discussed, showcasing the effectiveness of current recycling in improving the efficiency of complex heterogeneous SFQ systems.

IEEE Transactions on Applied Superconductivity•Jan 16, 2025•2 citations
The magnetic fields induced by the bias currents and the return currents flowing on a ground plane have a great influence on the performance of complex RSFQ circuits. Conventional approach applies equal negative bias currents to the ground contacts adjacent to the bias supply contacts to alleviate this problem, but this strategy may not be optimal when the power supply network is complex. We propose a new test approach to adjusting the negative bias currents independently. By changing the current distribution and thereby altering the spatial distribution of the magnetic field across the chip, this approach can make the circuit work, or make the circuit work more stably. Experimental validation on two 8-bit RSFQ CPUs demonstrated the approach's efficacy: redistributing negative currents restored functionality in a non-operational circuit and eliminated the intermittent failure in another. These results highlight the critical role of adjusting current distribution in overcoming magnetic interference, offering a practical solution for testing and optimizing the power supply of complex RSFQ circuits where conventional approach falls short.
Complex RSFQ circuits are typically dc-biased with one or more current bias trees, with current returning through a superconducting ground plane. As the bias currents become larger in more complex circuits, it is increasingly critical to pay attention to the distribution of these return currents, and the effects of the resulting magnetic fields on the performance of the RSFQ circuits. We have modeled the current and field distributions, and found that magnetic field and flux are indeed significant. This has been confirmed by direct measurement using a distribution of SQUIDs. Furthermore, we have measured the performance of several RSFQ circuits, and have found that currents in the ground plane can significantly affect performance margins. Approaches to circuit and system designs that can reduce these problems are discussed.
A key challenge in scaling up rapid single flux quantum (RSFQ) circuits is managing the magnetic interference caused by their bias current distributions. This paper establishes a simulation-driven framework for optimizing RSFQ circuit bias current supply configurations using magnetic field uniformity as the primary metric. Through Ansys HFSS 3D electromagnetic simulations and subsequent data processing, we demonstrated that magnetic field uniformity—rather than absolute intensity—exhibits a stronger correlation with circuit success probability. We developed a quantitative scoring metric to systematically compare and select bias current configurations. Applying this scoring metric to an 8-bit central processing unit (CPU) series, we found that the fully functional version exhibits 6.0% lower magnetic field non-uniformity in the arithmetic logic unit (ALU) block compared to the non-functional one. The proposed method provides a viable approach to optimizing the layout of large-scale RSFQ circuit, specifically to the design of the bias current supply network.
Two effects of the bias supply line on the performance of RSFQ circuits have been studied: inductive coupling between the bias supply line and circuit inductances; effect of the mirrored current in the ground plane. The following results of the study are presented: 3D calculations and experimental measurements of inductive coupling between parallel and perpendicular microstrips in presence of one and two ground planes; calculated margins dependence on the external magnetic field in RSFQ cell. Bias current density extraction method has been developed and implemented in RSFQ circuit design flow.
The practical implementation of RSFQ technology in most digital electronics application areas requires much more complexity than the presently developed circuits. There are two important issues in building large-scale RSFQ circuits: 1) the recycling of the bias currents and 2) the transfer of SFQ pulses between circuits located far apart. RSFQ circuits are well known to operate with DC current bias. Even though the DC current biasing is more forgiving than the problematic AC biasing, it can still be a big concern when the circuit size becomes large. Dramatic reduction of the total bias current can be achieved by biasing several RSFQ circuits in series, where each circuit is positioned on a separate ground plane. In this work, we have used magnetically coupled Josephson transmission lines as inputs and outputs of an isolated shift register to show the feasibility of using the concept of serial biasing in current recycling. The circuit was simulated, fabricated with Nb technology, and tested at a temperature of 4.2 K. Test results show that SFQ pulses were transferred into the shift register built on a separate ground plane, clocked through it, and sent out back to the circuit on the original ground plane. We also studied on how to transfer SFQ pulses over an extended length, an important issue in building large RSFQ circuits. We have designed the circuits to test our microstrip line and multichip module approaches. We designed, optimized, fabricated and tested the circuits. Test results show that SFQ pulses can be successfully transmitted over an extensive distance in a chip and between chips.
The supply of bias current is one of the key problems to be overcome for fully operational large-scale SFQ circuits. Large currents cause various undesirable effects that degrade circuit operation. The magnetic field induced by a large DC bias current affects the operation of several SFQ cells, even with a microstrip-line structure applied for the bias lines. In this paper, experimental results using SQUIDs show that bias-line shielding is the most effective way to reduce the effect of the DC bias current. The operating margins of SFQ cells were also found to be sensitive to the current in the ground plane. The location of a ground bonding should be close to the point of current injection if we wish to avoid undesirable diffusion of current through the ground plane. We confirmed the effectiveness of bias-line shielding and of the location of ground bonding with a circuit composed of about 500 junctions.
As single flux quantum (SFQ) circuit complexities scale, larger bias currents are required. The large current produces excessive heat and greatly complicates the design process. Current recycling offers a solution by reducing the required bias current through serially biased circuit blocks. Serial biasing is typically achieved in homogeneous SFQ systems where similar bias currents are required in similar circuits. Each of these homogeneous circuits is often placed on different ground planes and serially biased to reuse the bias currents. To address heterogeneous circuits with varying bias current requirements, a novel serial biasing technique is proposed. An interface between the ground planes with unequal bias current is presented that exhibits a current balancing capability. The interface supplies additional current before passing the current to the next ground plane. The ground planes are arranged in ascending order of bias current to manage the complexity of these heterogeneous circuits. Using a one bit SFQ full adder as an example, the proposed approach demonstrates several key benefits: a 49% reduction in the number of driver-receiver pairs, a 6.5% reduction in power dissipation, and a 35% reduction in bias current across a heterogeneous SFQ circuit placed on three isolated ground planes. The performance, bias current margins, and methods for current reduction are also discussed, showcasing the effectiveness of current recycling in improving the efficiency of complex heterogeneous SFQ systems.