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arXiv:2508.00295

Reimagining Voltage-Controlled Cryogenic Boolean Logic Paradigm with Quantum-Enhanced Josephson Junction FETs

Md Mazharul Islam, Diego Ferrer, Shamiul Alam, Juan P. Mendez, Denis Mamaluy, W. Pan, Ahmedullah Aziz

Published Aug 1, 2025• 0 citations
arXivHTMLPDF

Abstract

The growing demand for ultra low power computing and the emergence of quantum technologies have intensified interest in cryogenic electronics, particularly superconducting devices. Despite their promise, current controlled superconducting components face fundamental challenges in cascadability, limiting their effectiveness in complex logic architectures. To overcome this, recent efforts have focused on developing gate tunable superconducting devices, such as Josephson junction field effect transistors (JJFETs). However, achieving robust control and sufficient supercurrent gain, both critical for transistor-like performance in logic circuits remains a key challenge. A recent advancement in JJFET design, based on InAs and GaSb heterostructures, demonstrates enhanced gain and favorable device characteristics suitable for circuit integration. Building on this innovation, we propose and analyze fundamental voltage controlled logic topologies using the quantum enhanced JJFET. We develop a Verilog A based circuit compatible compact model of the quantum enhanced JJFET which accurately captures the experimentally observed device characteristics. To ensure cascadability, our logic circuits incorporate the multilayered Heater Nanocryotron (nTron), a superconducting nanowire-based thermal switch. Through simulation based analysis, we demonstrate the successful implementation of fundamental logic gates, including NOT, NAND, and NOR. Furthermore, we design a 3 input majority gate, which plays a pivotal role in quantum and reversible computing due to its universality. Finally, to demonstrate the cascadability of our proposed logic topology, we demonstrate the operation of a 2 input XOR gate based on our designed JJFET based NOT, NAND, and NOR gate.

DOI
10.48550/arxiv.2508.00295

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The growing demand for ultra low power computing and the emergence of quantum technologies have intensified interest in cryogenic electronics, particularly superconducting devices. Despite their promise, current controlled superconducting components face fundamental challenges in cascadability, limiting their effectiveness in complex logic architectures. To overcome this, recent efforts have focused on developing gate tunable superconducting devices, such as Josephson junction field effect transistors (JJFETs). However, achieving robust control and sufficient supercurrent gain, both critical for transistor-like performance in logic circuits remains a key challenge. A recent advancement in JJFET design, based on InAs and GaSb heterostructures, demonstrates enhanced gain and favorable device characteristics suitable for circuit integration. Building on this innovation, we propose and analyze fundamental voltage controlled logic topologies using the quantum enhanced JJFET. We develop a Verilog A based circuit compatible compact model of the quantum enhanced JJFET which accurately captures the experimentally observed device characteristics. To ensure cascadability, our logic circuits incorporate the multilayered Heater Nanocryotron (nTron), a superconducting nanowire-based thermal switch. Through simulation based analysis, we demonstrate the successful implementation of fundamental logic gates, including NOT, NAND, and NOR. Furthermore, we design a 3 input majority gate, which plays a pivotal role in quantum and reversible computing due to its universality. Finally, to demonstrate the cascadability of our proposed logic topology, we demonstrate the operation of a 2 input XOR gate based on our designed JJFET based NOT, NAND, and NOR gate.
The increasing demand for cryogenic electronics in superconducting and quantum computing systems calls for ultra energy efficient data conversion architectures that remain functional at deep cryogenic temperatures.In this work, we present the first design of a voltage-controlled superconducting flash analog-to-digital converter (ADC) based on a novel quantum enhanced Josephson junction field effect transistor (JJFET).Exploiting its strong gate tunability and transistor-like behavior, the JJFET offers a scalable alternative to conventional current controlled superconducting devices while aligning naturally with CMOS style design methodologies.Building on our previously developed Verilog A compact model calibrated to experimental data, we design and simulate a three bit JJFET based flash ADC.The core comparator block is realized through careful bias current selection and augmented with a three terminal nanocryotron to precisely define reference voltages.Cascaded JJFET comparators ensure robust voltage gain, cascadability, and logic level restoration across stages.Simulation results demonstrate accurate quantization behavior with ultra-low power dissipation, underscoring the feasibility of voltage driven superconducting mixed signal circuits.This work establishes a critical step toward unifying superconducting logic and data conversion, paving the way for scalable cryogenic architectures in quantum classical co-processors, low-power AI accelerators, and next generation energy constrained computing platforms.
The increasing demand for cryogenic electronics in superconducting and quantum computing systems calls for ultra-energy-efficient data conversion architectures that remain functional at deep cryogenic temperatures. In this work, we present the first design of a voltage-controlled superconducting flash analog-to-digital converter (ADC) based on a voltage-controlled quantum-enhanced Josephson junction field-effect transistor (JJFET). Exploiting its strong gate tunability and transistor-like behavior, the JJFET offers a scalable alternative to conventional current-controlled superconducting devices while aligning naturally with CMOS-style design methodologies. Building on our previously developed Verilog-A compact model calibrated to experimental data, we design and simulate a three-bit JJFET-based flash ADC targeted for integration within cryogenic control and readout circuitry in quantum computing. The core comparator block is realized through careful bias current selection and augmented with a three-terminal nanocryotron to precisely define reference voltages. Cascaded JJFET comparators ensure robust voltage gain, cascadability, and logic-level restoration across stages. Simulation results demonstrate accurate quantization behavior with ultra-low power dissipation, underscoring the feasibility of voltage-driven superconducting mixed-signal circuits. This work establishes a critical step toward unifying superconducting logic and data conversion, paving the way for scalable cryogenic architectures in quantum–classical co-processors, low-power artificial intelligence accelerators, and next-generation energy-constrained computing platforms.
The recent progress in quantum computing and space exploration led to a surge in interest in cryogenic electronics. Superconducting devices such as Josephson junction, Josephson field effect transistor, cryotron, and superconducting quantum interference device (SQUID) are traditionally used to build cryogenic logic gates. However, due to the superconducting nature, gate-voltage-based control of these devices is extremely difficult. Even more challenging is to cascade the logic gates because most of these devices require current bias for their operation. Therefore, these devices are not as convenient as the semiconducting transistors to design logic gates. Here, to overcome these challenges, we propose a ferroelectric SQUID (FeSQUID) based voltage-controlled logic gates. FeSQUID exhibits two different critical current levels for two different voltage-switchable polarization states of the ferroelectric. We utilize the polarization-dependent (hence, voltage-controllable) superconducting to resistive switching of FeSQUID to design Boolean logic gates such as Copy, NOT, AND, and OR gates. The operations of these gates are verified using a Verilog-A-based compact model of FeSQUID. Finally, to demonstrate the fanning out capability of FeSQUID-based logic family, we simulate a two-input XOR gate using FeSQUID-based NOT, AND, and OR gates. Together with the ongoing progress on FeSQUID-based non-volatile memory, our designed FeSQUID-based logic family will enable all FeSQUID-based cryogenic computer, ensuring minimum mismatch between logic and memory blocks in terms of speed, power consumption, and fabrication process.
Superconducting electronics are among the most promising alternatives to conventional CMOS technology, thanks to the ultra-fast speed and ultra-high energy efficiency of the superconducting devices. Having a cryogenic control processor is also a crucial requirement for scaling the existing quantum computers up to thousands of qubits. Despite showing outstanding speed and energy efficiency, Josephson junction-based circuits suffer from several challenges such as flux trapping leading to limited scalability, difficulty in driving high impedances, and so on. Three-terminal cryotron devices have been proposed to solve these issues, which can drive high impedances (>100 kΩ) and are free from any flux trapping issue. In this work, we develop a reconfigurable logic circuit using a heater cryotron (hTron). In conventional approaches, the number of devices to perform a logic operation typically increases with the number of inputs. However, here, we demonstrate a single hTron device-based logic circuit that can be reconfigured to perform 1-input copy and NOT, 2-input AND and OR, and 3-input majority logic operations by choosing suitable biasing conditions. Consequently, we can perform any processing task with a much smaller number of devices. Also, since we can perform different logic operations with the same circuit (same layout), we can develop a camouflaged system where all the logic gates will have the same layout. Therefore, this proposed circuit will ensure enhanced hardware security against reverse engineering attacks.
Cryogenic (cryo) memory blocks are envisioned to be crucial components for - (i) scalable quantum computing systems with> 1000 qubits [1], and (ii) superconducting (SC) single flux quantum (SFQ) systems [2]. Decades of research has led to a whole host of cryo-memory variants (SC, non-SC, and hybrid), and more are being actively explored. Despite having such massive interest in the search for cryo-storage solutions, the design possibilities for compatible sense amplifiers (SA) remain largely unexplored. The existing approaches for cryogenic sensing are mostly agnostic to the unique properties of the memory array [3]–[5]. For example, the recently proposed SC and twistronic memories promise seamless compatibility with the cryogenic processors in terms of speed, power, and temperature range [4]–[7]. However, they rely on current-driven read operation, and necessitate voltage-based sensing. Therefore, a current-based cryo-SA [3] cannot be used for these emerging cryo-memory variants. In this work, we propose a voltage sense amplifier (VSA) for cryogenic memories utilizing the Josephson junction field effect transistor (JJFET) [8] as the primary component, and the heater cryotron (hTron) [4], [9] as an auxiliary entity. We exploit their coupled interactions to sense ultra-low (< 1 mV) voltage difference (customary for many cryo-memory technologies [4]–[7]) between the binary memory states (0/1) at/below 4 Kelvin temperature.
Superconducting electronics have garnered significant attention recently due to their exceptional speed and energy efficiency. They play a vital role in scaling quantum computers to thousands of qubits and offer unique advantages for high-performance computing and aerospace exploration. However, conventional Josephson junction-based superconducting circuits face scalability challenges due to flux trapping and struggle in driving high load impedances. To address these issues, three-terminal cryotron devices have emerged as a promising alternative. Here, we present a novel approach utilizing two heater cryotron devices to construct an XNOR gate, significantly enhancing the area efficiency of existing superconducting XNOR gates. XNOR logic plays a pivotal role in various applications including adder design, data center operations like copy verification and data encryption/decryption. Our designed XNOR logic gate boasts a substantial improvement in area efficiency compared to existing designs, requiring only two heater cryotron devices instead of the previous requirement of ten cryotron devices, leading to an 80% improvement in device count. This advancement holds promise for further optimizing superconducting circuitry for various applications.