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Integrated Control Electronics for Qubits at Ultra Low Temperature

Dennis Nielinger

Published Jan 1, 2022• 0 citations
Publisher

Abstract

Quantum computing has shown an increased interest in recent years. The basis of a quantum computer is a qubit, which is the quantum equivalent of a classical bit. Common qubit are only viable in a cryogenic environment and need electrical connections tooperate. For this, it is needed to solve the problem to bringing more qubits into the cryostat and connecting the quantum and the macroscopic world. The number of qubits per cryostat is limited just by the amount of interconnects and cooling power of the cryostat even if one neglect the other challenges which come with the increasing number of qubits integrated on one chip. This work investigates the performance of different integrated circuit architectures for operating at low temperature. The goal is to place the control electronics in close vicinity of the qubit itself and replace parts of the classical control electronics which by now are located at room temperature. The particular circuits investigated and implemented focus on the needs for operating a GaAs singlet triplet qubit. These qubits need frequency synthesis, biasing and readout circuitry to operate. This work includes the implementation of a digital controlled oscillator operating at a frequency of 500 MHz, a voltage controlled oscillator operating at 20 GHz and a 8-bit digital to analog converter with a sample rate of 250 MHz. The circuitry was fabricated on a 2 x 2 mm2 65 nm chip. The performance of the circuitry is evaluated at room temperature and in a closed-cycle Gifford-McMahon cryostat down to temperatures as low as 6 K. The results are compared and cryogenic effects are discussed

DOI
10.17185/duepublico/84836

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Quantum computing has shown an increased interest in recent years. The basis of a quantum computer is a qubit, which is the quantum equivalent of a classical bit. Common qubit are only viable in a cryogenic environment and need electrical connections tooperate. For this, it is needed to solve the problem to bringing more qubits into the cryostat and connecting the quantum and the macroscopic world. The number of qubits per cryostat is limited just by the amount of interconnects and cooling power of the cryostat even if one neglect the other challenges which come with the increasing number of qubits integrated on one chip. This work investigates the performance of different integrated circuit architectures for operating at low temperature. The goal is to place the control electronics in close vicinity of the qubit itself and replace parts of the classical control electronics which by now are located at room temperature. The particular circuits investigated and implemented focus on the needs for operating a GaAs singlet triplet qubit. These qubits need frequency synthesis, biasing and readout circuitry to operate. This work includes the implementation of a digital controlled oscillator operating at a frequency of 500 MHz, a voltage controlled oscillator operating at 20 GHz and a 8-bit digital to analog converter with a sample rate of 250 MHz. The circuitry was fabricated on a 2 x 2 mm2 65 nm chip. The performance of the circuitry is evaluated at room temperature and in a closed-cycle Gifford-McMahon cryostat down to temperatures as low as 6 K. The results are compared and cryogenic effects are discussed
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 computing holds the promise to solve problems that are currently intractable by classical computing platforms. Such computing framework relies on the properties of quantum bits (qubits) that operates at cryogenic temperatures well below 1K. Besides a quantum processor, an operational quantum computer needs a classical electronic controller reading out the electrical signals generated by the qubits and the providing electrical control to perform the required operations on the qubits. Since today’s quantum processors comprise a low number of qubits (<10), most controlling electronics can operate at room temperature and be connected by bulky interconnects to the cryogenic qubit chamber. However, when scaling up to the thousands of qubits required in a practical quantum algorithm, the classical electronics must be placed at cryogenic temperature to simplify the interconnects and allow a compact, reliable and scalable system. In this work, we propose the fully-integrated implementation in standard CMOS technology of the electronic read-out for spin qubits. Simulations show that the proposed current read-out circuit can achieve a 10MHz bandwidth that is 10X wider than current state-of-the-art read-outs while keeping comparable noise performance and operating at 4.2K. Such results are a promising indication that cryogenic CMOS circuits can provide the building blocks for the integration of the classical electronic controller for future scalable quantum computers.
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.
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.
Quantum computers hold a promise to solve intractable problems that can not be solved with classical computers. In quantum computers, information is processed in qubits as opposed to bits. The proper operation of qubits requires them to be operated in a quantum state; hence they need to be cooled down to temperatures well below l1K. Using qubits and their quantum mechanical property, quantum computers can achieve exponential speedup in solving certain computing problems compared to classical computers. However, this can only be achieved by employing thousands of qubits. At the current state of play, quantum computers are still far from practical. The current state-of-the-art solution dictates that each qubit needs multiple interconnects towards room temperature and requires bulky room temperature instruments for qubit readout and control. Clearly, this current solution will not scale well for a quantum computer with many qubits. In an effort to solve this issue, it has been proposed to realize dedicated integrated circuits for control and readout of the qubits and operate them closer to the qubits' operating temperature to enable scalability. The thesis presents the implementation of an integrated RF receiver for spin and superconducting qubit readout applications. The work aims to replace the bulky room temperature electronics with an integrated solution that operates at 4K to enable scalability and simplification of the quantum computing architecture. The receiver has been designed in the TSMC 40nm CMOS technology and has been characterized in room temperature and 4K. The measured performance shows that the receiver features a gain of 58 dB and a minimum double-sideband noise figure of 0.6 dB at 4K with an operating frequency of 6-8 GHz; a comparable performance to the current state-of-the-art room temperature electronics used for qubit readout. Moreover, this work demonstrates a qubit readout experiment with the integrated receiver in both room temperature and 4K. The qubit readout experiment shows a comparable qubit readout performance with the integrated receiver at room temperature. However, due to oscillation problems, a degradation in qubit readout performance with the chip operating at 4K is observed.
Quantum computation has been a major focus of research in the past two decades, with recent experiments demonstrating basic algorithms on small numbers of qubits. A large-scale universal quantum computer would have a profound impact on science and technology, providing a solution to several problems intractable for classical computers. To realise such a machine, today's small experiments must be scaled up, and a system must be built which provides control and measurement of many hundreds of qubits. A device of this scale is challenging: qubits are highly sensitive to their environment, and sophisticated isolation techniques are required to preserve the qubits' fragile states. Solid-state qubits require deep-cryogenic cooling to suppress thermal excitations. Yet current state-of-the-art experiments use room-temperature electronics which are electrically connected to the qubits. This thesis investigates various scalable technologies and techniques which can be used to control quantum systems. With the requirements for semiconductor spin-qubits in mind, several custom electronic systems, to provide quantum control from deep cryogenic temperatures, are designed and measured. A system architecture is proposed for quantum control, providing a scalable approach to executing quantum algorithms on a large number of qubits. Control of a gallium arsenide qubit is demonstrated using a cryogenically operated FPGA driving custom gallium arsenide switches. The cryogenic performance of a commercial FPGA is measured, as the main logic processor in a cryogenic quantum control system, and digital-to-analog converters are analysed during cryogenic operation. Recent work towards a 100-qubit cryogenic control system is shown, including the design of interconnect solutions and multiplexing circuitry. With qubit fidelity over the fault-tolerant threshold for certain error correcting codes, accompanying control platforms will play a key role in the development of a scalable quantum machine.