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IEEE International Superconductive Electronics Conference (ISEC)

Operation of practical eSFQ circuits

Mark H. Volkmann, Anubhav Sahu, Andriy V. Dotsenko, Oleg A. Mukhanov

Published Jul 1, 2013• 6 citations
Publisher

Abstract

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.

DOI
10.1109/isec.2013.6604279

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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 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 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 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.
Superconducting single flux quantum (SFQ) circuits have been shown to offer huge advantages that are ideal for high performance computing applications. These circuits can operate at very high frequencies (tens of GHz) but consume very low power (from nanowatts to microwatts per gate). Energy-efficient SFQ (ERSFQ) circuits, evolved from traditional rapid SFQ (RSFQ) circuits, were invented with the goal of elimination of static power dissipation. When compared with RSFQ circuits, ERSFQ circuits require a new biasing network that includes biasing Josephson junction(s), biasing inductor(s), and feeding Josephson transmission line(s). Some general suggestions on how to design the network have been offered, but a detailed analysis and optimization scenario for the network is still to be provided. In this paper, we first optimize the previously reported DC-biased two-Josephson junction per bit RSFQ shift register circuit, which can be used to provide a more robust, energy-efficient, and high memory capacity storage unit. The simulated power dissipation of 16-bit RSFQ shift register is 0.45 μW per bit when operating at 21.7 GHz. We then convert the RSFQ-based shift register into an ERSFQ structure and investigate the effects of the ERSFQ bias network on the margins of the ERSFQ circuit. Finally, we propose a more comprehensive optimization method for the ERSFQ biasing network.
We describe the design of an oversampling single-flux-counting analog-to-digital converter with the estimated bandwidth of a few tens of MHz, based on Rapid Single-Flux-Quantum (RSFQ) devices. It consists of an input analog circuit, high-speed quantizer with an original analog/digital negative feedback loop, decimation (comb) filter, and supporting subsystems including clock distribution circuits, quantization signal conditioner, and output drivers. We have applied a new approach, the 'symmetrizing' negative feedback, to free the quantizer from the intrinsic hysteresis without dynamic range sacrifice. The 16-bit version of the system comprises about 1,500 Josephson junctions and consumes 1.2 mW of DC power, when implemented using Nb-trilayer technology with 1 kA/cm/sup 2/, 3.5 /spl mu/m Josephson junctions. All subsystems of the converter have been successfully tested and testing of the system as a whole is in progress.>