Adiabatic quantum-flux-parametron (AQFP) logic is a promising technology for future energy-efficient, high- performance information processing systems because it has significantly low power consumption due to the adiabatic switching of Josephson junctions. We are developing a high-performance field-programmable gate array (FPGA) using superconducting AQFP circuits to reduce its energy consumption. The all-AQFP FPGA consists of logic blocks, switch blocks, connection blocks, and memory using AQFP circuits. In particular, the memory is composed of AQFP buffer chains, enabling high-density and low-power memory. The switch blocks can perform data routing as well as several logic functions, including majority,and, andorfunctions, which increases the design flexibility of the all-AQFP FPGA. We fabricated a one-unit all-AQFP FPGA and demonstrated its reconfigurable operation at low speed. It was found that much lower power consumption can be achieved in the new FPGA than in the other superconducting FPGAs.
Adiabatic quantum-flux-parametron (AQFP) logic is a promising technology for future energy-efficient, high- performance information processing systems because it has significantly low power consumption due to the adiabatic switching of Josephson junctions. We are developing a high-performance field-programmable gate array (FPGA) using superconducting AQFP circuits to reduce its energy consumption. The all-AQFP FPGA consists of logic blocks, switch blocks, connection blocks, and memory using AQFP circuits. In particular, the memory is composed of AQFP buffer chains, enabling high-density and low-power memory. The switch blocks can perform data routing as well as several logic functions, including majority,and, andorfunctions, which increases the design flexibility of the all-AQFP FPGA. We fabricated a one-unit all-AQFP FPGA and demonstrated its reconfigurable operation at low speed. It was found that much lower power consumption can be achieved in the new FPGA than in the other superconducting FPGAs.
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.
Abstract Adiabatic quantum flux parametron (AQFP) is energy-efficient superconducting logic that operates with zero static energy consumption and extremely small dynamic energy consumption thanks to the adiabatic switching of the logic gates. One drawback in AQFP logic circuits is the wire length and fan-out limitations because of the low driving ability of the logic gates, which results in a large circuit area and significant latency. In the present study, we propose AQFP boosters with high driving ability. Two types of AQFP boosters are proposed: one is composed of a parallel connection of AQFP buffers, and the other uses multistage buffers driven by one excitation clock. We evaluated the maximum wire length of the proposed boosters by circuit simulations, including thermal noises, and found that the maximum wire length is 3.9 mm for fan-out one and 1 mm for fan-out four. We implemented the boosters and demonstrated their correct operations at low-speed tests. We also demonstrated a 5-to-31 decoder using the proposed boosters. It was shown that the circuit area, latency, and energy consumption were improved by about 30% compared to the design without the boosters.
Abstract The adiabatic quantum-flux-parametron (AQFP), which can operate with ultra-low energy consumption, has attracted attention as an alternative to semiconductor circuits. The development of reconfigurable AQFP devices is essential for advancing AQFP integrated circuits. However, research on reconfigurable devices at the logic gate level remains limited. We propose an AQFP circuit capable of reconfiguring its logic function by controlling the superconducting phase shift through externally applied magnetic flux. In AQFP logic, logic ‘1’ and ‘0’ are represented by the polarity of the current. The proposed circuit can switch between the Buffer function, which propagates the input current with its polarity unchanged, and the NOT function, which propagates it with the polarity inverted. We analytically derived the parameter conditions for correct operation and determined the parameters within this range to achieve adiabatic operation and sufficient element margins for experimental demonstration. We fabricated the proposed reconfigurable circuit using the 10 kA cm −2 Nb four-layer superconducting circuit fabrication process, and experimentally confirmed correct operation for both the Buffer and NOT functions. The control current margins, which are responsible for the functional reconfiguration, were −2.3% to +31.2% for chip 1 and +0.8% to +35.1% for chip 2. Both margins had widths comparable to the simulation result. This work presents the first experimental demonstration of an AQFP circuit whose function can be reconfigured using only a control current. We believe this work will contribute to the advancement of reconfigurable AQFP devices.
Adiabatic quantum-flux-parametron (AQFP) circuits are very low-power due to zero static power consumption and adiabatic switching operations. However, compared to other superconducting circuits, such as rapid single-flux-quantum logic, the operation frequency is relatively low and the latency is relatively large. In this work, we propose multi-excitation AQFP (ME-AQFP) circuits for high-speed and low-latency operations. In ME-AQFP, the intrinsic periodicity of the potential energy of a Josephson device with respect to applied magnetic fluxes is utilized to multiply operation frequencies and reduce latency. In a numerical simulation, we demonstrated an ME-AQFP AND gate, which operates at 10 GHz or 20 GHz with 5-GHz excitation currents. We also evaluated the energy efficiency of ME-AQFP circuits. In an experiment, we successfully demonstrated an ME-AQFP XOR gate and an ME-AQFP full adder.
Adiabatic quantum flux parametron (AQFP) is a very energy-efficient superconductor logic. In AQFP logic, dynamic energy dissipation can be drastically reduced due to adiabatic switching operations using ac excitation currents. In the present study, we evaluated circuit yields using a large-scale AQFP circuit composed of as many as 10,000 AQFP gates with approximately 20,000 Josephson junctions. We measured eleven chips from four wafers and obtained circuit yields of 48% for 1,000-gate circuits and 22% for 10,000-gate circuits, respectively. In all the circuits, which worked correctly, the margins of excitation currents were as wide as approximately ±20%.
We report recent progress on adiabatic quantum-flux-parametron (AQFP) logic, which is an energy-efficient superconductor logic based on quantum flux parametron (QFP). The switching energy of an AQFP gate can be arbitrarily reduced via adiabatic switching, in which the shape of the potential energy gradually varies between single-well and double-well shapes as the result of using ac excitation magnetic fluxes. First, we show the operation principle of AQFP and explain adiabatic switching in light of potential energy shapes. We also show calculated switching energy and bit error rates to demonstrate that the switching energy of AQFP can be significantly reduced while keeping a low error rate. Then, we report recently developed AQFP subsystems, which include an 8-bit carry look-ahead adder, a register file, and a long-interconnect driver. Our demonstration reveals that AQFP technology is ready to be applied in microprocessor design.