arXiv subjects

Sasan Razmkhah

Publications and source records attributed to Sasan Razmkhah.

At least 19 recordsLinked to original sources

arXiv2026

RIVERPlace: Repairing Interconnect Violations with Efficient Retiming and Incremental Placement for AQFP Circuits

The Adiabatic Quantum-Flux-Parametron (AQFP) offers near-Landauer-limit energy efficiency but faces significant scalability challenges due to strict path balancing and limited drive strength. To address this, we propose RIVERPlace, a framework that integrates long-wire pipelining, retiming, and incremental placement to resolve interconnect violations with minimal disruption. RIVERPlace first applies placement-aware retiming to repair violations without increasing logical depth. When depth increases are necessary, we introduce Buffer Cut Insertion (BCI), which formulates violation resolution as a constrained global edge-selection problem reducible to a maximum topological cut, thereby enabling an exact polynomial-time solution. By selectively pipelining edges across multiple rows, BCI avoids excessive buffer insertion while resolving interconnect violations. Experimental results demonstrate that RIVERPlace consistently outperforms prior AQFP placement approaches, reducing placement overhead by more than an order of magnitude in inserted buffers, 3x in placement-induced depth, and over 2x in circuit area, while also reducing runtime by more than an order of magnitude and latency by 38%. These improvements enable the first post-routing, timing-closed implementations of the complete open-source AQFP benchmark suite, including larger circuits like alu32.

cs.ET↗

arXiv2026

Inductorless Fast Phase Logic: Enabling Two-Order-of-Magnitude Density Scaling for Superconductor VLSI

Fast phase logic (FPL) is a novel digital superconductor electronic (SCE) logic family that employs multiple junction types, including switching 0-Josephson junctions (0-JJs), non-switching 0-JJ stacks, and $π$-JJs. FPL enables flexible, automatable cell layouts, faster pulse propagation, reduced bias current via phase-shifting $π$-JJs, and minimized inductive loops, thereby reducing susceptibility to trapped flux and crosstalk. A fabrication process to support FPL is proposed. NbTiN superconductors offer small grain sizes, smooth surfaces, and thermal stability up to 400~$^\circ$C, while high-$J_c$, self-shunted JJs enable compact devices. AlN dielectrics provide good crystal matching to NbTiN, improving superconducting properties. Projections indicate that FPL, combined with the proposed process, can achieve a two-order-of-magnitude increase in integration density over conventional RSFQ logic and a five-fold reduction in supply current. The increased density reduces latency and improves computational throughput, while NbTiN-based devices provide higher output voltage and impedance, improving compatibility with CMOS circuits. Further fabrication advancements, such as higher-$J_c$ NbTiN-based JJs, higher processing temperatures, and stacked JJ structures, could enhance FPL implementation and scalability toward very large-scale integration (VLSI). FPL has the potential to significantly advance SCE technology, with near-term applications in accelerator cores for signal processing and artificial intelligence, and long-term potential in supercomputing. Its advantages are evaluated through an architectural study of a fast Fourier transform (FFT) circuit, with comparisons to CMOS and SFQ technologies.

cond-mat.supr-con↗

arXiv2026

qPRO-AQFP: Post-Routing Optimization of AQFP Circuits with Delay Line Clocking

Adiabatic Quantum-Flux-Parametron (AQFP) logic is an ultra-low-power superconducting logic family with energy consumption approaching the Shannon limit, making it attractive for quantum computing control and cryogenic computing systems. Traditional AQFP designs face significant physical design challenges due to strict gate-level clocking requirements and limited interconnect lengths, leading to substantial buffer overhead and difficult timing closure. Recently, delay-line clocking of AQFP has been proposed to improve timing margins and reduce latency by enabling more flexible clock scheduling. However, prior work has primarily focused on placement and latency minimization, while relying on fixed timing parameters that do not capture the frequency dependence of AQFP setup and hold constraints. To address this limitation, we propose a frequency-aware post-routing optimization framework that jointly optimizes clock period, latency, and timing slack under user-specified weighting. Experimental results across common benchmarks achieve 100% post-routing timing closure across a range of performance--latency--slack trade-offs. Our approach also automates phase-skipping, reducing path-balancing buffer insertion by 34% on average while only reducing operating frequency by 4%.

cs.ET↗

arXiv2025

Experimental Demonstration of a Superconductor SFQ-Based ADC for High-Frequency Signal Acquisition

Superconducting quantum interference devices (SQUIDs) are among the most sensitive sensors, offering high precision through their well-defined flux-voltage characteristics. Building on this sensitivity, we designed, fabricated, and experimentally demonstrated a superconducting single flux quantum (SFQ)-based analog-to-digital converter (ADC) capable of detecting small variations in input current signals at high frequencies and converting them into SFQ pulse trains. To improve robustness and reduce errors, the design incorporates a majority circuit and two types of counters: asynchronous toggle flip-flop-based and synchronous cumulative-based, at the cryogenic stage. The counter collects the SFQ pulse train and converts it into a binary number, simplifying downstream digital readout. The circuits were implemented using the AIST CRAVITY (QuFab) HSTP process and successfully tested in our cryocooler system, validating both the design methodology and operation. This approach helps build a fully integrated system that combines digital SQUID functionality with cryogenic readout circuits on a single chip.

cond-mat.supr-con↗

arXiv2025

SuperSNN: A Hardware-Aware Framework for Physically Realizable, High-Performance Superconducting Spiking Neural Network Chips

Despite numerous proposed designs for superconducting neural networks (SNNs), most have overlooked practical fabrication constraints, leading to implementations limited to only a few neurons or synapses. Current superconducting technologies, such as MIT LL SFQ5ee, impose severe limitations on chip area, routing, and input/output pin counts (e.g., 5x5 mm^2 chip with 40 pins), drastically restricting network size and complexity. These hardware constraints necessitate a comprehensive framework to tailor network designs for physical realizability while minimizing accuracy loss. This paper introduces SuperSNN, a comprehensive framework for the implementation of full superconducting SNNs on a chip within these constraints. The key technical contributions include: (1) A hardware-aware training methodology for SNNs, utilizing off-chip pruning and weight quantization for energy-efficient superconducting implementations. (2) Design and layout of an inference SNN chip that incorporates novel high fan-in neurons and custom superconducting cells. (3) An optimized locally synchronous, globally synchronous (LAGS) clock distribution scheme for robust circuit implementation and management of data transfer delays in SFQ SNNs. The main results and findings demonstrate the effectiveness of the framework: (1) The complete network achieved 96.47% accuracy on the full MNIST dataset after quantization and pruning. (2) The fabricated SuperSNN chip successfully classified a reduced set of digits (2, 3, and 4) with 80.07% accuracy, reaching a maximum of 86.2% accuracy for digits 0, 1, and 2. (3) The chip operates at an ultra-high 3.02 GHz clock frequency. (4) It occupies a compact area of 3.4 x 3.9 mm^2, incorporates 5,822 Josephson Junctions, consumes 2.15 mW static power, and has an exceptionally low energy cost of 6.55 fJ (or 1.31e-6 nJ) per inference.

cs.ET↗

arXiv2025

SCE-NTT: A Hardware Accelerator for Number Theoretic Transform Using Superconductor Electronics

This research explores the use of superconductor electronics (SCE) for accelerating fully homomorphic encryption (FHE), focusing on the Number-Theoretic Transform (NTT), a key computational bottleneck in FHE schemes. We present SCE-NTT, a dedicated hardware accelerator based on superconductive single flux quantum (SFQ) logic and memory, targeting high performance and energy efficiency beyond the limits of conventional CMOS. To address SFQ constraints such as limited dense RAM and restricted fanin/fanout, we propose a deeply pipelined NTT-128 architecture using shift register memory (SRM). Designed for N=128 32-bit coefficients, NTT-128 comprises log2(N)=7 processing elements (PEs), each featuring a butterfly unit (BU), dual coefficient memories operating in ping-pong mode via FIFO-based SRM queues, and twiddle factor buffers. The BU integrates a Shoup modular multiplier optimized for a small area, leveraging precomputed twiddle factors. A new RSFQ cell library with over 50 parameterized cells, including compound logic units, was developed for implementation. Functional and timing correctness were validated using JoSIM analog simulations and Verilog models. A multiphase clocking scheme was employed to enhance robustness and reduce path-balancing overhead, improving circuit reliability. Fabricated results show the NTT-128 unit achieves 531 million NTT/sec at 34 GHz, over 100x faster than state-of-the-art CMOS equivalents. We also project that the architecture can scale to larger sizes, such as a 2^14-point NTT in approximately 482 ns. Key-switch throughput is estimated at 1.63 million operations/sec, significantly exceeding existing hardware. These results demonstrate the strong potential of SCE-based accelerators for scalable, energy-efficient secure computation in the post-quantum era, with further gains anticipated through advances in fabrication.

cs.AR↗

arXiv2025

Optimized Bistable Vortex Memory Arrays for Superconducting In-Memory Matrix-Vector Multiplication

Building upon previously introduced Bistable Vortex Memory (BVM) as a novel, nonvolatile, high-density, and scalable superconductor memory technology, this work presents a methodology that uses BVM arrays to address challenges in data-driven algorithms and neural networks, specifically focusing on matrix-vector multiplication (MVM). The BVM approach introduces a novel superconductor-based methodology for in-memory arithmetic, achieving ultra-high-speed and energy-efficient computation by utilizing BVM arrays for in-memory computation. The design employs a tiled multiplier structure where BVM's inherent current summation capability is combined with Quantizer Buffer (QB) cells to convert the analog accumulated current into a variable number of digital Single Flux Quantum (SFQ) pulses. These pulses are then processed by T1 adder cells, which handle binary addition and carry propagation, thereby forming a complete functional multiplier unit. This paper thus presents an efficient MVM architecture that uses these BVM-based multipliers in a systolic array configuration to enable parallel computation. A key innovation is an optimized BVM array structure specifically tailored for multiplication applications, involving a restructuring of Sense Lines (SLs) with diagonal connections to reduce area and an adjusted input scheme to enhance computational efficiency compared to the general-purpose BVM array design. We demonstrate the efficacy of this approach with a 4-bit multiplier operating at 20 GHz with 50 ps latency and an MVM structure demonstrating operation at 20 GHz. Furthermore, we showcase how this multiplier design can be extended to support Multiply-Accumulate (MAC) operations. This work paves the way for power-efficient neural networks by enabling high-speed in-memory computation.

cond-mat.supr-con↗

arXiv2025

Scalable Asynchronous Single Flux Quantum Up-Down Counter using Josephson Trapping Lines and α-Cells

We present a scalable, clockless up-down counter architecture implemented using single-flux quantum (SFQ) logic to enable efficient state management in superconductor digital systems. The proposed design eliminates the reliance on clocked storage elements by introducing the Josephson Trapping Line (JTrL). This bidirectional pulse-trapping structure enables persistent, non-volatile state storage without clocking. The counter integrates $\upalpha$-cells with a splitter (SPL) element to make bidirectional data propagation possible and support multi-fanout connectivity. The design supports increment, decrement, and read operations and includes a control unit that guarantees correct output behavior across all valid state transitions. Circuit-level simulations based on SPICE models demonstrate robust bidirectional functionality across a 3-bit state range [-4 to +4] at an operating frequency of 4 GHz. The proposed counter offers a modular and scalable solution suitable for integration into larger superconducting systems targeting quantum computing, neuromorphic processing, and cryogenic sensing applications.

cond-mat.supr-con↗

arXiv2025

AR-SFQ: Asynchronous Reset Library Using α-Cell Design

Rapid Single Flux Quantum (RSFQ) circuits are the most evolved superconductor logic family. However, the need to clock each cell and the deep pipeline causes a complex clock network with a large skew. This results in lower throughput and high latency in RSFQ. This work introduces an asynchronous RSFQ cell library that incorporates the α-cell, enabling bidirectional signal paths in RSFQ circuits. The α-cell mitigates the need for a large clock network by allowing reverse signal flow, minimizing routing, and enabling compact circuit designs. We demonstrate the library's reliability and efficiency by analog simulations and using in-house optimization tools. The asynchronous reset RSFQ (AR-SFQ) will enable efficient implementation of scalable, high-performance computing frameworks, such as state machines, neuromorphic computing, and higher fan-in circuits.

cond-mat.supr-con↗

arXiv2024

SAIM: Scalable Analog Ising Machine for Solving Quadratic Binary Optimization Problems

This paper presents a CMOS-compatible Lechner-Hauke-Zoller (LHZ)--based analog tile structure as a fundamental unit for developing scalable analog Ising machines (IMs). In the designed LHZ tile, the voltage-controlled oscillators are employed as the physical Ising spins, while for the ancillary spins, we introduce an oscillator-based circuit to emulate the constraint needed to ensure the correct functionality of the tile. We implement the proposed LHZ tile in 12nm FinFET technology using the Cadence Virtuoso. Simulation results show the proposed tile could converge to the results in about 31~ns. Also, the designed spins could operate at approximately 13~GHz.

cs.AR↗

arXiv2024

Superconductor bistable vortex memory for data storage and in-memory computing

Superconductor electronics (SCE) is a promising complementary and beyond CMOS technology. However, despite its practical benefits, the realization of SCE logic faces a significant challenge due to the absence of dense and scalable nonvolatile memory designs. While various nonvolatile memory technologies, including Non-destructive readout, vortex transitional memory (VTM), and magnetic memory, have been explored, achieving a superconductor random-access memory (RAM) crossbar array remains challenging. This paper introduces a novel, nonvolatile, high-density, and scalable VTM cell design for SCE applications. Our proposed design addresses scaling issues while boasting zero static power consumption characteristics. Our design leverages current summation, enabling analog multiply-accumulate operations -an essential feature for many in-memory computational tasks. We demonstrate the efficacy of our approach with a 32 x 32 superconductor memory array operating at 20 GHz. This design effectively addresses scaling issues and utilizes current summation that can be used for analog multiply-accumulate operations. Additionally, we showcase the accumulation property of the memory through analog simulations conducted on an 8 x 8 superconductor crossbar array.

cond-mat.supr-con↗

arXiv2024

Scalable Superconductor Neuron with Ternary Synaptic Connections for Ultra-Fast SNN Hardware

A novel high-fan-in differential superconductor neuron structure designed for ultra-high-performance Spiking Neural Network (SNN) accelerators is presented. Utilizing a high-fan-in neuron structure allows us to design SNN accelerators with more synaptic connections, enhancing the overall network capabilities. The proposed neuron design is based on superconductor electronics fabric, incorporating multiple superconducting loops, each with two Josephson Junctions. This arrangement enables each input data branch to have positive and negative inductive coupling, supporting excitatory and inhibitory synaptic data. Compatibility with synaptic devices and thresholding operation is achieved using a single flux quantum (SFQ) pulse-based logic style. The neuron design, along with ternary synaptic connections, forms the foundation for a superconductor-based SNN inference. To demonstrate the capabilities of our design, we train the SNN using snnTorch, augmenting the PyTorch framework. After pruning, the demonstrated SNN inference achieves an impressive 96.1% accuracy on MNIST images. Notably, the network exhibits a remarkable throughput of 8.92 GHz while consuming only 1.5 nJ per inference, including the energy consumption associated with cooling to 4K. These results underscore the potential of superconductor electronics in developing high-performance and ultra-energy-efficient neural network accelerator architectures.

cond-mat.supr-con↗

arXiv2023

Efficient Superconductor Arithmetic Logic Unit for Ultra-Fast Computing

We present a 4-bit Arithmetic Logic Unit (ALU) utilizing superconductor technology. The ALU serves as the central processing unit of a processor, performing crucial arithmetic and logical operations. We have adopted a bit-parallel architecture to ensure an efficient and streamlined design with minimal fanin/fanout and optimal latency. In terms of fabrication, the ALU has been fabricated using a standard commercial process. It operates at an impressive clock frequency exceeding 30 GHz while consuming a mere 4.75 mW of power, including applied reverse current, encompassing static and dynamic components. The ALU contains over 9000 Josephson junctions, with approximately 7000 JJs dedicated to wiring, delay lines, and path balancing, and it has over 18% bias margin. Designed as a co-processor, this arithmetic logic unit will work with external CMOS memory and processors via interface circuits. Thorough testing and validation of the ALU's functionality have been conducted with digital and analog simulations, and all the components were fabricated and measured within a 4K pulse-tube cryocooler. Experimental verification has confirmed the successful operation of both the arithmetic and logic units. These results have been analyzed and are presented alongside the experimental data to provide comprehensive insights into the ALU's behavior and capabilities.

cond-mat.supr-con↗

arXiv2023

A Josephson Parametric Oscillator-Based Ising Machine

Ising machines have emerged as a promising solution for rapidly solving NP-complete combinatorial optimization problems, surpassing the capabilities of traditional computing methods. By efficiently determining the ground state of the Hamiltonian during the annealing process, Ising machines can effectively complement CPUs in tackling optimization challenges. To realize these Ising machines, a bi-stable oscillator is essential to emulate the atomic spins and interactions of the Ising model. This study introduces a Josephson parametric oscillator (JPO)-based tile structure, serving as a fundamental unit for scalable superconductor-based Ising machines. Leveraging the bi-stable nature of JPOs, which are superconductor-based oscillators, the proposed machine can operate at frequencies of 7.5GHz while consuming significantly less power (by three orders of magnitude) than CMOS-based systems. Furthermore, the compatibility of the proposed tile structure with the Lechner-Hauke-Zoller (LHZ) architecture ensures its viability for large-scale integration. We conducted simulations of the tile in a noisy environment to validate its functionality. We verified its operational characteristics by comparing the results with the analytical solution of its Hamiltonian model. This verification demonstrates the feasibility and effectiveness of the JPO-based tile in implementing Ising machines, opening new avenues for efficient and scalable combinatorial optimization in quantum computing.

quant-ph↗

arXiv2023

Hybrid Synaptic Structure for Spiking Neural Network Realization

Neural networks and neuromorphic computing play pivotal roles in deep learning and machine vision. Due to their dissipative nature and inherent limitations, traditional semiconductor-based circuits face challenges in realizing ultra-fast and low-power neural networks. However, the spiking behavior characteristic of single flux quantum (SFQ) circuits positions them as promising candidates for spiking neural networks (SNNs). Our previous work showcased a JJ-Soma design capable of operating at tens of gigahertz while consuming only a fraction of the power compared to traditional circuits, as documented in [1]. This paper introduces a compact SFQ-based synapse design that applies positive and negative weighted inputs to the JJ-Soma. Using an RSFQ synapse empowers us to replicate the functionality of a biological neuron, a crucial step in realizing a complete SNN. The JJ-Synapse can operate at ultra-high frequencies, exhibits orders of magnitude lower power consumption than CMOS counterparts, and can be conveniently fabricated using commercial Nb processes. Furthermore, the network's flexibility enables modifications by incorporating cryo-CMOS circuits for weight value adjustments. In our endeavor, we have successfully designed, fabricated, and partially tested the JJ-Synapse within our cryocooler system. Integration with the JJ-Soma further facilitates the realization of a high-speed inference SNN.

cond-mat.supr-con↗

arXiv2023

Superconductor Logic Implementation with All-JJ Inductor-Free Cell Library

Single flux quantum (SFQ) technology has garnered significant attention due to its low switching power and high operational speed. Researchers have been actively pursuing more advanced devices and technologies to further reduce the reliance on inductors, bias, and dynamic power. Recently, innovative magnetic Josephson junction devices have emerged, enhancing the field of superconductor electronics (SCE) logic. This paper introduces a novel cell library design that relies entirely on Josephson junctions (JJs), showing promising potential for eliminating the need for inductors in conventional SFQ cells. This results in a 55% reduction in cell size and an 80% decrease in both static and dynamic power consumption. The proposed library implements a half flux quantum (HFQ) logic, where each pulse duration is half that of a single flux quantum pulse. The paper presents the schematics of the basic cells, emphasizing critical circuit parameters and their margins. Additionally, it examines layout blueprints, showcasing the advantageous area-saving characteristics of the proposed design.

cond-mat.supr-con↗

arXiv2023

Design of a Superconducting Multiflux Non-Destructive Readout Memory Unit

Due to low power consumption and high-speed performance, superconductor circuit technology has emerged as an attractive and compelling post-CMOS technology candidate. However, the design of dense memory circuits presents a significant challenge, especially for tasks that demand substantial memory resources. While superconductor memory cells offer impressive speed, their limited density is the primary yet-to-be-solved challenge. This study tackles this challenge head-on by introducing a novel design for a Non-Destructive Readout (NDRO) memory unit with single or multi-fluxon storage capabilities within the same circuit architecture. Notably, single storage demonstrates a critical margin exceeding 20\%, and multi-fluxon storage demonstrates 64\%, ensuring reliable and robust operation even in the face of process variations. These memory units exhibit high clock frequencies of 10GHz. The proposed circuits offer compelling characteristics, including rapid data propagation and minimal data refreshment requirements, while effectively addressing the density concerns associated with superconductor memory, doubling the memory capacity while maintaining the high throughput speed.

cs.ET↗

arXiv2023

An On-Chip Trainable Neuron Circuit for SFQ-Based Spiking Neural Networks

We present an on-chip trainable neuron circuit. Our proposed circuit suits bio-inspired spike-based time-dependent data computation for training spiking neural networks (SNN). The thresholds of neurons can be increased or decreased depending on the desired application-specific spike generation rate. This mechanism provides us with a flexible design and scalable circuit structure. We demonstrate the trainable neuron structure under different operating scenarios. The circuits are designed and optimized for the MIT LL SFQ5ee fabrication process. Margin values for all parameters are above 25\% with a 3GHz throughput for a 16-input neuron.

cs.NE↗