Impact of Classical Control Electronics on Qubit Fidelity
Jeroen P. G. van Dijk, Erika Kawakami, Raymond N. Schouten, Menno Veldhorst, Lieven M. K. Vandersypen, Masoud Babaie, Edoardo Charbon A, Fabio Sebastiano
A quantum computer comprises both qubits and their classical electronic interface. While much research is currently devoted solely to qubits, an efficient electronic controller is also urgently needed for a scalable quantum computer. This study uses analytical techniques to expose the effect of nonideal circuit blocks in a classical controller on qubit fidelity, for all required operations, and how fidelity is affected by the limited performance of the general-purpose, room-temperature equipment typically used with the few qubits types available today. Tailor-made controllers can achieve significantly lower cost, power consumption, and size, as required for scaling up.
A quantum computer comprises both qubits and their classical electronic interface. While much research is currently devoted solely to qubits, an efficient electronic controller is also urgently needed for a scalable quantum computer. This study uses analytical techniques to expose the effect of nonideal circuit blocks in a classical controller on qubit fidelity, for all required operations, and how fidelity is affected by the limited performance of the general-purpose, room-temperature equipment typically used with the few qubits types available today. Tailor-made controllers can achieve significantly lower cost, power consumption, and size, as required for scaling up.
Quantum processors rely on classical electronic controllers to manipulate and read out the quantum state. As the performance of the quantum processor improves, non-idealities in the classical controller can become the performance bottleneck for the whole quantum computer. To prevent such limitation, this paper presents a systematic study of the impact of the classical electrical signals on the qubit fidelity. All operations, i.e. single-qubit rotations, two-qubit gates and read-out, are considered, in the presence of errors in the control electronics, such as static, dynamic, systematic and random errors. Although the presented study could be extended to any qubit technology, it currently focuses on single-electron spin qubits, because of several advantages, such as purely electrical control and long coherence times, and for their potential for large-scale integration. As a result of this study, detailed electrical specifications for the classical control electronics for a given qubit fidelity can be derived, as demonstrated with specific case studies. We also discuss the effect on qubit fidelity of the performance of the general-purpose room-temperature equipment that is typically employed to control the few qubits available today. Ultimately, we show that tailor-made electronic controllers can achieve significantly lower power, cost and size, as required to support the scaling up of quantum computers.
Quantum computers have gained widespread interest as they can potentially solve problems that are intractable even for today’s supercomputers, such as the simulation of quantum systems as initially proposed by Feynman. To achieve such tremendous progress, a quantum computer relies on processing the information stored in quantum bits (qubits), the fundamental units of quantum computation, similar to the bits in a classical (i.e., non-quantum) processor. In general, a quantum processor comprising several qubits is connected through a quantum-to-classical interface consisting of classical electrical circuits for manipulating and reading out their quantum state. The accuracy of an operation on a qubit is characterized using the fidelity, which is 100 % in case of a perfect operation. In practice, a fidelity between 99 % and 99.9 % is typically achieved in today’s experiments with less than 100 qubits, limited by non-idealities in the control signals and by the implementation of the physical qubit itself. Since such qubit fidelities are too low to execute relevant quantum algorithms, quantum error correction schemes have been developed which rely on a much larger number of qubits to correct for possible errors, resulting in the need for quantum processors with thousands or millions of qubits. Solid-state qubits promise the largescale integration required to scale to millions of qubits, as they exploit the lithographic fabrication techniques borrowed from the semiconductor industry. However, state-of-theart solid-state qubits, such as transmons and single-electron spin qubits, must be typically cooled to cryogenic temperatures in a dilution refrigerator to exhibit quantum behavior. Because of the limited number of qubits (< 100) in state-of-theart solid-state quantum processors, the classical controller is currently implemented by general-purpose instruments or by tailor-made controllers operating at room temperature connected via several wires to the qubits in the cryogenic chamber. However, these systems must scale to support millions of qubits. While scaling up the underlying quantum processor is already exceptionally challenging, building the electronics required to interface such a large-scale processor is just as relevant and arduous.
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 has made significant strides, with hardware platforms now advanced enough to tackle the challenges of scaling up to larger and more robust systems. Central to this progression is the interface between quantum processors, comprising isolated qubits, and the classical systems required for their control and readout. As these systems transition from few-qubit devices to fault-tolerant architectures, the complexity of this quantum-classical interaction poses significant engineering challenges. Field-Programmable Gate Arrays (FPGAs) have emerged as an adaptable and efficient solution, offering realtime control, low-latency operations, and seamless integration. This review delves into current FPGA-based platforms, including commercial systems, as well as open-source solutions developed by academic research groups. The architecture, features, and contributions of these platforms to addressing scalability and integration issues are thoroughly examined. Additionally, the review highlights innovations in cryogeniccompatible controllers and explores the potential of Cryo-FPGAs to reduce noise and improve fidelity in quantum systems. By providing a comprehensive analysis of current technologies and identifying opportunities for advancement, this review offers valuable insights for researchers and engineers working to develop scalable quantum computing solutions.
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.