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IEEE International Symposium on Circuits and Systems proceedings

Benefits and Challenges of Designing Cryogenic CMOS RF Circuits for Quantum Computers

Mohammadreza Mehrpoo, Bishnu Patra, Jiang Gong, Jeroen P. G. van Dijk, Harald Homulle, Gerd Kiene, Andrei Vladimirescu, Fabio Sebastiano, Edoardo Charbon A, Masoud Babaie

Published May 1, 2019• 49 citations
Publisher

Abstract

Accurate and low-noise generation and amplification of microwave signals are required for the manipulation and readout of quantum bits (qubits). A fault-tolerant quantum computer operates at deep cryogenic temperatures (i.e., <; 100mK) and requires thousands of qubits for running practical quantum algorithms. Consequently, CMOS radio-frequency (RF) integrated circuits operating at cryogenic temperatures down to 4 K (Cryo-CMOS) offer a higher level of system integration and scalability for future quantum computers. In this paper, we extensively discuss the role, benefits, and constraints of Cryo-CMOS for qubits control and readout. The main characteristics of the CMOS transistors and their impacts on RF circuit designs are described. Furthermore, opportunities and challenges of low noise RF signal generation and amplification are investigated.

DOI
10.1109/iscas.2019.8702452

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Accurate and low-noise generation and amplification of microwave signals are required for the manipulation and readout of quantum bits (qubits). A fault-tolerant quantum computer operates at deep cryogenic temperatures (i.e., <; 100mK) and requires thousands of qubits for running practical quantum algorithms. Consequently, CMOS radio-frequency (RF) integrated circuits operating at cryogenic temperatures down to 4 K (Cryo-CMOS) offer a higher level of system integration and scalability for future quantum computers. In this paper, we extensively discuss the role, benefits, and constraints of Cryo-CMOS for qubits control and readout. The main characteristics of the CMOS transistors and their impacts on RF circuit designs are described. Furthermore, opportunities and challenges of low noise RF signal generation and amplification are investigated.
A fault-tolerant quantum computer with millions of quantum bits (qubits) requires massive yet very precise control electronics for the manipulation and readout of individual qubits. CMOS operating at cryogenic temperatures down to 4 K (cryo-CMOS) allows for closer system integration, thus promising a scalable solution to enable future quantum computers. In this paper, a cryogenic control system is proposed, along with the required specifications, for the interface of the classical electronics with the quantum processor. To prove the advantages of such a system, the functionality of key circuit blocks is experimentally demonstrated. The characteristic properties of cryo-CMOS are exploited to design a noise-canceling low-noise amplifier for spin-qubit RF-reflectometry readout and a class-F2,3digitally controlled oscillator required to manipulate the state of qubits.
Cryogenic CMOS, or cryo-CMOS circuits and systems, are emerging in VLSI design for many applications, in primis quantum computing. Fault-tolerant quantum bits (qubits) in surface code configurations, one of the most accepted implementations in quantum computing, operate in deep sub-Kelvin regime and require scalable classical control circuits. In this paper we advocate the need for a new generation of deep-submicron CMOS circuits operating at deep-cryogenic temperatures to achieve the performance required in a fault-tolerant qubit system. We outline the challenges and limitations of operating CMOS in near-zero Kelvin regimes and we propose solutions. The paper concludes with several examples showing the suitability of integrating fault-tolerant.qubits with CMOS.
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 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.
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.
In the pursuit of quantum computing, solid-state quantum systems, particularly superconducting ones, have made remarkable advancements over the past two decades. However, achieving fault-tolerant quantum computing for next-generation applications necessitates the integration of several million qubits, which presents significant challenges in terms of interconnection complexity and latency that are currently unsolvable with state-of-the-art room-temperature control and readout electronics. Recently, cryogenic integrated circuits (ICs), including CMOS radio-frequency ICs and rapid-single-flux-quantum-logic ICs, have emerged as potential alternatives to room-temperature electronics. Unlike their room-temperature counterparts, these ICs are deployed within cryostats to enhance scalability by reducing the number and length of transmission lines. Additionally, operating at cryogenic temperatures can suppress electronic noise and improve qubit control fidelity. However, for CMOS ICs specifically, circuit design uncertainties arise due to a lack of reliable models for cryogenic field effect transistors as well as issues related to severe fickle noises and power dissipation at cryogenic temperatures. This paper provides a comprehensive review of recent research on both types of cryogenic control and readout ICs but primarily focuses on the more mature CMOS technology. The discussion encompasses principles underlying control and readout techniques employed in cryogenic CMOS ICs along with their architectural designs; characterization and modeling approaches for field effect transistors under cryogenic conditions; as well as fundamental concepts pertaining to rapid single flux quantum circuits.