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Custom Integrated Circuits Conference

Sub-mW/qubit 5.2-7.2GHz 65nm Cryo-CMOS RX for Scalable Quantum Computing Applications

Aravind Nagulu, Leonardo Ranzani, G. J. Riebell, M. Gustafsson, Thomas Ohki, Harish Krishnaswamy

Published Apr 1, 2023• 12 citations
Publisher

Abstract

Cryogenic CMOS control and readout circuits tightly interfaced with the qubits have emerged as a promising solution for future quantum computers with tens-of-thousands to millions of qubits [1] –[5]. A lownoise cryo-CMOS receiver at $3-4 \mathrm{~K}$ integrated tightly with the lowcryogenic quantum processor can relax or even potentially eliminated the need for the HEMT LNA, and keep the whole control loop at cryogenic temperature, hence avoiding any high-speed interconnects to room temperature (Fig. 1). Additionally, wide bandwidths in the receiver enables qubit-multiplexing, where qubits can be frequency multiplexed with a spacing of $10 \mathrm{MHz}-40 \mathrm{MHz}$, allowing anywhere from 10’s-100’s of qubits to be packed in to a single readout line with gigahertz-scale bandwidths. A second critical metric is power consumption, since the cooling power available in a typical dilution refrigerator is limited to a few watts at $3-4 \mathrm{~K}$. Therefore, the control and readout circuits should be designed with low power consumption, projected to be $\lt 1 \mathrm{~mW}$ per qubit (Fig. 1). While there has been initial progress in the design of cryo-CMOS readout systems, a leap forward is required in their overall power consumption to be viable for future quantum systems. In this work, we showcase the design and implementation of the first sub-mWper-qubit cryo-CMOS RX - a wideband, I/Q-downconversion, $4 \mathrm{~K}$ receiver for qubit readout that achieves $>1.9 \mathrm{GHz}$ of IF bandwidth with $>50 \mathrm{~dB}$ conversion gain and $0.7 \mathrm{~dB}$ NF while consuming only $17 \mathrm{~mW}$ of power consumption, thanks to various design techniques including near-threshold operation and low-1/f-noise passive mixers, representing $3-5 \times$ lower power consumption than prior works [2]–[3] while achieving similar noise, BW and gain performance. In addition, we demonstrate a real-time qubit read-out measurement by integrating our cryogenic-CMOS receiver with a transmon qubit.

DOI
10.1109/cicc57935.2023.10121300

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Cryogenic CMOS control and readout circuits tightly interfaced with the qubits have emerged as a promising solution for future quantum computers with tens-of-thousands to millions of qubits [1] –[5]. A lownoise cryo-CMOS receiver at 3−4 K3-4 \mathrm{~K}3−4 K integrated tightly with the lowcryogenic quantum processor can relax or even potentially eliminated the need for the HEMT LNA, and keep the whole control loop at cryogenic temperature, hence avoiding any high-speed interconnects to room temperature (Fig. 1). Additionally, wide bandwidths in the receiver enables qubit-multiplexing, where qubits can be frequency multiplexed with a spacing of 10MHz−40MHz10 \mathrm{MHz}-40 \mathrm{MHz}10MHz−40MHz, allowing anywhere from 10’s-100’s of qubits to be packed in to a single readout line with gigahertz-scale bandwidths. A second critical metric is power consumption, since the cooling power available in a typical dilution refrigerator is limited to a few watts at 3−4 K3-4 \mathrm{~K}3−4 K. Therefore, the control and readout circuits should be designed with low power consumption, projected to be <1 mW\lt 1 \mathrm{~mW}<1 mW per qubit (Fig. 1). While there has been initial progress in the design of cryo-CMOS readout systems, a leap forward is required in their overall power consumption to be viable for future quantum systems. In this work, we showcase the design and implementation of the first sub-mWper-qubit cryo-CMOS RX - a wideband, I/Q-downconversion, 4 K4 \mathrm{~K}4 K receiver for qubit readout that achieves >1.9GHz>1.9 \mathrm{GHz}>1.9GHz of IF bandwidth with >50 dB>50 \mathrm{~dB}>50 dB conversion gain and 0.7 dB0.7 \mathrm{~dB}0.7 dB NF while consuming only 17 mW17 \mathrm{~mW}17 mW of power consumption, thanks to various design techniques including near-threshold operation and low-1/f-noise passive mixers, representing 3−5×3-5 \times3−5× lower power consumption than prior works [2]–[3] while achieving similar noise, BW and gain performance. In addition, we demonstrate a real-time qubit read-out measurement by integrating our cryogenic-CMOS receiver with a transmon qubit.
A fault tolerant scalable quantum computer requires more than 1000 Qubits to perform real time state correction and to improve the Qubit coherence time. The dense wiring connections required between the quantum processor placed at a 100 mK temperature and the room temperature control and readout electronics serve as a limiting factor in this system. Qubit control and readout electronics operating at 4 K temperature, placed closer to a quantum processor inside the dilution refrigerator avoids the dense wiring connections to room temperature electronics, and hence, serve as a potential solution to realize a scalable quantum computer. However, with no CMOS process technology models available at cryogenic temperatures, the design of a fully integrated, ultra-low power Qubit control and readout electronics at a sub-1 mW power consumption proves to be extremely challenging. In recent years, there has been a huge rise in interest among the research communities to understand and solve the device and circuit level challenges at deep cryogenic temperatures. This paper presents an overview of the recently published active and passive device nonidealities, circuit design challenges and solutions, and the future research directions in the Qubit control and readout electronics operating at deep cryogenic temperatures.
Quantum computers (QCs) promise significant speedup for relevant computational problems that are intractable by classical computers. QCs process information stored in quantum bits (qubits) that must be typically cooled down to cryogenic temperatures. Since state-of-the-art QCs employ only a few qubits, those qubits can be driven and read out by room-temperature electronics connected to the cryogenic qubits by only a few wires. However, practical QCs will require more than thousands of qubits, making this approach impractical due to system complexity and reliability concerns. Although frequency multiplexing would reduce the interconnects to room temperature by fitting many qubit channels in the same physical interconnect, an excessive number of interconnects would still be required. An alternative, more scalable solution is a cryogenic electronic interface operating very close to the quantum processor to keep the whole control loop at cryogenic temperature, hence avoiding any high-speed interconnect to room temperature. This system must comprise drivers, readout circuits (LNAs, ADCs), and a digital controller to steer the quantum-algorithm execution [1]. While cryogenic CMOS (cryo-CMOS) wideband drivers and LNAs supporting qubit frequency multiplexing have been shown before [1] -[3], no wideband cryo-CMOS ADC has been demonstrated yet.
Today’s quantum computing systems rely on commercial electronics operating at room temperature in order to perform control and readout operations for qubits [1] –[6]. The qubits operate at cryogenic temperatures; the signals that support control and readout of qubits therefore traverse multiple temperature stages in a dilution refrigerator to enable interaction with the qubits of a quantum computer. For many of the most advanced quantum computers built to date, the control of each individual qubit demands application of a radiofrequency pulse that is precisely calibrated in frequency, amplitude, and phase. Oubit readout demands the amplification of very low amplitude signals that are then post-processed to categorize the state of the qubit being measured. Oubit control electronics are implemented using arbitrary waveform generators (AWGs) of various types. The scalability of such systems is challenged by the need to scale the number of qubit control electronics units linearly with the number of qubits in the system. One approach to mitigating this challenge that is under active exploration is the use of multi-channel AWGs (tailored to the requirements of qubit control) that operate at the 4K stage of a quantum computing system [7] –[10]. Oubit readout electronics are typically implemented using multiple stages of amplification and then DSP-based readout performed at room temperature. In today’s systems, while readout electronics benefits from multiplexing of the readout signals (enabling a single cascade of moderately wideband amplifiers to support the delivery of multiple readout signals to the room-temperature electronics), again, the scalability of this approach is challenged much as is the case with control electronics. One approach to mitigating the readout challenge is the expanded use of cryogenic electronics in the readout chain. Success in the implementation of cryogenic control and readout solutions depends critically on multiple CMOS sub-components; in this paper we focus on SRAM and low noise amplifiers (LNAs). Note that SRAM is critical for both control and readout applications as a mixed-signal solution involving the combination of a custom processor and analog elements is highly desirable in both cases. Further, while the LNA is directly used as an element in the readout chain, a deep assessment of LNA performance and opportunities strongly benefits overall understanding of achievable noise performance in CMOS technologies at cryogenic temperatures and is therefore impoitant in both control and readout contexts.
Quantum computing promises to revolutionize our lives, achieving unprecedented computational powers and unlocking new possibilities in drug discovery, chemical simulations and cryptography. The fundamental unit of computation of a quantum computer is the quantum bit (qubit). It can be implemented in a number of technologies, such as superconducting qubits, spin qubits, photonic systems, trapped ions and NV-centers. Solid-state superconducting qubits and spin qubits seem to be the most promising ones, as shown by the recent demonstration of quantum supremacy with a superconducting qubit processor. Such quantum processors, to operate in the quantum regime, require very low temperatures around 10 mK, and they are hence kept inside dilution fridges. The electronics required to read out and control such processors is typically realized by discrete components or bulky scientific instruments at room temperature wired into the dilution fridge. Such approach is only feasible until few (< 100) qubits are handled, but it is not scalable for million-qubit processors required for fault-tolerant operation. In this thesis, readout and control electronics is proposed to be integrated and operated directly at cryogenic temperatures, in close proximity with the qubits and potentially even co-integrated. CMOS technology is advocated for its scalability, compactness and low prototyping cost, to create a comprehensive cryo-CMOS class of fully-integrated transceivers to read out and control solid-state qubits. In particular, the thesis focuses on cryo-CMOS radio-frequency integrated circuits for the readout of silicon quantum computers, looking to integrate the whole readout system, from the quantum layer to the room temperature user interface. Cryogenic CMOS devices are explored first, to lay the foundations of integrated circuit design. The realization of quantum dots in standard CMOS technology is explored as a platform to realize solid-state qubit arrays, demonstrating functionality at 50 mK and good reproducibility. Moreover, the operation of integrated transistors at 50 mK and 4.2 K is explored to understand their basic cryogenic functionality, through characterization and modeling. Then also integrated passives, such as capacitors, inductors and transformers, are studied and modeled at cryogenic temperatures. Then, a fully-integrated readout platform spanning across all the blocks needed for dispersive readout is proposed. A fully-integrated matrix of quantum dots with radio-frequency gate-based readout capabilities is demonstrated along with time- and frequency-multiplexing. This quantum-classical circuit shows all the features for a scalable approach and is the core of the platform following it. A cryogenic CMOS circulator based on a new all-pass filter architecture is demonstrated, to be used as integrated replacement for current bulky counterparts; it allows power reduction, insertion loss and bandwidth enhancement with respect to state-of-the-art integrated circulators. The rest of the front-end is also explored with dedicated test multiplexers, a low noise-amplifier and an oscillator, that are finally merged in a single fully-integrated low-noise receiver with frequency synthesizer operating at 3.5 K for scalable multiplexed readout of silicon qubits. The platform presented in this thesis, across temperature boundaries, carries all the features required for future scalable silicon quantum computing platforms and could therefore form their core.
Quantum computers hold the promise to solve some of the most complex problems of today. The core of a quantum computer is a quantum processor, which is composed of quantum bits (qubits). Qubits are fragile and their state needs to be corrected in real time by a classical controller. Today, the control of qubits is done at room temperature by racks of instruments, while qubits operate at several tens of milli-Kelvin. To ensure compactness, and eventually scalability, we have proposed the use of controllers operating at a few Kelvin, so as to reduce the length of control cables, while potentially enabling superconductive interconnects, which enable virtually zero resistance and low thermal conductivity. We have chosen CMOS to achieve this functionality due to its scalable nature and overall miniaturization opportunities. Cryogenic CMOS, or cryo-CMOS, circuits and systems need to be carefully designed, so as to ensure low noise and high bandwidth, while operating at strict power budgets of a few milliwatts per qubit. In this paper, we outline the requirements of a classical controller and we show examples of such circuits and systems. Results and perspectives are presented discussing a roadmap for the future.
Quantum computers hold the promise to solve some of the most complex problems of today. The core of a quantum computer is a quantum processor, which is composed of quantum bits (qubits). Qubits are fragile and their state needs to be corrected in real time by a classical controller. Today, the control of qubits is done at room temperature by racks of instruments, while qubits operate at several tens of milli-Kelvin. To ensure compactness, and eventually scalability, we have proposed the use of controllers operating at a few Kelvin, so as to reduce the length of control cables, while potentially enabling superconductive interconnects, which enable virtually zero resistance and low thermal conductivity. We have chosen CMOS to achieve this functionality due to its scalable nature and overall miniaturization opportunities. Cryogenic CMOS, or cryo-CMOS, circuits and systems need to be carefully designed, so as to ensure low noise and high bandwidth, while operating at strict power budgets of a few milliwatts per qubit. In this paper, we outline the requirements of a classical controller and we show examples of such circuits and systems. Results and perspectives are presented discussing a roadmap for the future.