We report on our systems engineering activities concerning cryogenic CMOS electronics as building blocks for scalable quantum computers. Following the V-model of engineering, the topic is approached both in top-down and in bottom-up fashion. We show the main results from the top-down study using system modeling and simulations. In a bottom-up fashion, a prototype chip was designed and implemented in a commercial 65nm CMOS process. The chip contains a DC digital-to-analog-converter (DC-DAC) and a Pulse-DAC as building blocks for an integrated quantum bit control. The DC-DAC is able to tune a qubit into its operating point. The Pulse-DAC generates pulse patterns with 250MHz sampling frequency to perform gate operations on a qubit.
We report on our systems engineering activities concerning cryogenic CMOS electronics as building blocks for scalable quantum computers. Following the V-model of engineering, the topic is approached both in top-down and in bottom-up fashion. We show the main results from the top-down study using system modeling and simulations. In a bottom-up fashion, a prototype chip was designed and implemented in a commercial 65nm CMOS process. The chip contains a DC digital-to-analog-converter (DC-DAC) and a Pulse-DAC as building blocks for an integrated quantum bit control. The DC-DAC is able to tune a qubit into its operating point. The Pulse-DAC generates pulse patterns with 250MHz sampling frequency to perform gate operations on a qubit.
A systematic research on the development of cryogenic complementary metal-oxide semiconductor (cryo-CMOS) circuits, for implementing the required control electronics to manipulate the quantum bit (qubit) state, is performed over the last few years. Scalability constitutes a key term regarding the evolution of quantum computing from theory to practical application and CMOS technology has been proven to be a promising candidate for implementing the coveted scalable next-generation quantum computers (QCs). Mixed-signal blocks, used for uniting the analog and digital domains, play a key role in the efficient functionality of the qubit control/readout system, thus there is an ever-increasing interest in their high-performance circuit realization. The critical challenge in this venture is to achieve efficient cryogenic operation at low temperatures, i.e., close to the qubit around 4 K, simultaneously keeping power requirements at low values. An overview and comparison of the cryo-CMOS Digital-to-Analog converter (DAC) and Analog-to-Digital converter (ADC) circuit implementations for quantum computing applications that heretofore have been proposed in the literature is presented in this work. A discussion on the challenges and future strategic steps that are henceforth required to proceed toward the development of a functional scalable quantum computer is also conducted.
The feasibility of using commercial CMOS processes for implementing scalable cryogenic control electronics for universal quantum computers is investigated. Using a systems engineering approach, we break the system down into sub-systems and model the individual components down to transistor level. First results for area demand and power consumption indicate that even with a standard CMOS process, it should be possible to operate hundreds of qubits. Using dedicated low power processes with reduced supply voltage, this number could be further increased in the long term by four or more orders of magnitude, allowing the control of millions of qubits.
Quantum computing promises an exponential speed-up of computation compared to what is nowadays achievable with classical computers. In this way, it enables the evaluation of more complex models and the breaching of current security algorithms. For the operation of a quantum system, many questions remain to be answered. Currently, there are several quantum technologies that promise to be both reliable and scalable, two features required for large scale quantum operations. Common to all technologies is the operating temperature that needs to be close to absolute zero, i.e. below 100 mK, to suppress environment noise and allow the quantum properties to become 'visible'. In order for any quantum processor to be operated, a so-called quantum-classical interface is required for the quantum bit (qubit) read-out and control. This interface consists of various electronic blocks, such as analog-to-digital converters, digital-to-analog converters, mixers, amplifiers and a digital controller. Especially the analog blocks require effort to meet the noise and stability constraints as not to disturb the very sensitive qubits and allow reading of the tiny signals. As the qubits live in extremely deep-cryogenic temperatures, long wires interface the cryogenic with the room temperature environment, where most of the electronics is situated. However, for a scalable system, heat injection becomes a serious problem, with many wires between 300 K and sub-Kelvin. Furthermore, such amount of interconnects is challenging to mechanically place in a dilution refrigerator. Therefore, in this work, we propose to implement the electronics not at room temperature, but at a temperature much closer to the qubits, for example at 4 K. This not only reduces significantly the wiring between room temperature and the qubits, but we can also benefit from lower electronic noise at such a temperature. The operation of conventional electronics almost 200°C below its normal temperature range is not trivial as device properties alter significantly and most circuits no longer operate as intended. In CMOS processes, the main technology in the integrated electronics world, the behaviour of the transistors, required for the implementation of any circuit, deviates considerably at low temperatures. The transistor's threshold voltage goes up, the mobility increases and the subthreshold slope becomes steeper, to name just a few of these deviations. Although there are improvements in performance, there are also some counter effects, and characterization of the transistors is needed to observe the changes. Once devices are characterized at such low temperatures, new models can be built and circuits can be simulated and adapted to operate properly at cryogenic temperatures. Luckily, there are various commercially available devices that can already withstand the chills of cold. We demonstrated various commercially available devices, such as a field-programmable gate array (FPGA) implemented in a 28 nm CMOS process, to be operating without major concerns at 4~K. Its properties alter only slightly, within 5 to 10%, and all tested circuit implementations, working at 300~K, also worked at 4 K. We combined both commercially available devices, that operate 200 K below their specified temperature range, with custom designed CMOS circuits to implement a cryogenic read-out platform for spin qubits. This system comprises amplifiers, an ADC, an FPGA, voltage regulators and a clock generator. It allows to amplify the tiny signal from the qubits and digitize it directly in the FPGA in order to process the data locally at 4~K. This system is one of the first systematic attempts at operating a part of the quantum-classical interface at cryogenic temperatures and forms the basis for future systems comprising the complete electronic interface for qubits to operate at such low temperatures. One of the main problems to tackle for cryogenic electronic systems is their power consumption. Power budgets are simply limited to roughly 1 or 2 Watts at 4 K and exponentially lower at deeper cryogenic temperatures, thus limiting the size of large-scale electronic systems. Our approach of combined commercial and custom circuits will have to be steadily replaced by a single (custom) technology that meets both power and scalability constraints. One of the best candidates is CMOS, a technology that the industry has relied upon for several decades and benefits from many optimizations thanks to Moore's law.
Quantum computers can provide exponential speedup in solving certain computational problems pertaining to drug discovery, cybersecurity, weather forecasting, etc. Although a quantum computer with just 50-qubits has been shown to surpass the computing power of the best supercomputers in specific applications, millions of qubits would be required for useful practical applications. One of the biggest obstacles in scaling from 50 qubits to millions of qubits is the interconnect bottleneck between solid-state qubits operating at 20 milliKelvin inside a dilution refrigerator and control electronics outside the dilution refrigerator connected via long coaxial cables. A 50-qubit processor requires hundreds of cables, digital to analog converters, mixers and amplifiers, clearly challenging the scalability of the system. The goal of this research is to build scalable quantum computers by operating CMOS control electronics inside the dilution refrigerator in proximity to quantum processors. The dissertation covers a broad aspect of cryogenic integrated circuit design spanning across devices, circuits and systems.
In this paper, we provide a system level perspective on the design of control electronics for large scale quantum systems. Quantum computing systems with high-fidelity control and readout, coherent coupling, calibrated gates, and reconfigurable circuits with low error rates are expected to have superior quantum volumes. Cryogenic CMOS plays a crucial role in the realization of scalable quantum computers, by minimizing the feature size, lowering the cost, power consumption, and implementing low latency error correction. Our approach toward achieving scalable feed-back based control systems includes the design of memory based arbitrary waveform generators (AWG’s), wide band radio frequency analog to digital converters, integrated amplifier chain, and state discriminators that can be synchronized with gate sequences. Digitally assisted designs, when implemented in an advanced CMOS node such as 7 nm can reap the benefits of low power due to scaling. A qubit readout chain demands several amplification stages before the digitizer. We propose the co-integration of our in-house developed InP HEMT LNAs with CMOS LNA stages to achieve the required gain at the digitizer input with minimal area. Our approach using high impedance matching between the HEMT LNA and the cryogenic CMOS receiver can relax the design constraints of an inverter-based CMOS LNA, paving the way toward a fully integrated qubit readout chain. The qubit state discriminator consists of a digital signal processor that computes the qubit state from the digitizer output and a pre-determined threshold. The proposed system realizes feedback-based optimal control for error mitigation and reduction of the required data rate through the serial interface to room temperature electronics.
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.