Large-scale quantum computing holds promise for exponentially faster computation speed to address currently unsolvable problems. Nevertheless, biasing, driving and reading numerous physical qubits operating at cryogenic temperature remains an on-going challenge. In particular, the integration of cryogenic control and readout ICs appears mandatory to overcome the wiring bottleneck [1]–[3]. In this regard, the promising higher operating temperature (up to 1K) of silicon semiconductor qubits offers a more substantial cryogenic power budget, which could enable addressing larger qubit arrays with integrated cryogenic CMOS electronics. In the context of 100,000 qubits at 1K, the maximum power consumption allowed by cooling capability is about 1W within a compact footprint of just a few cm2, defining targets of2/qubit footprint. Focusing on the readout IC, the semiconductor-qubit coherence time also imposes a typical3.
Large-scale quantum computing holds promise for exponentially faster computation speed to address currently unsolvable problems. Nevertheless, biasing, driving and reading numerous physical qubits operating at cryogenic temperature remains an on-going challenge. In particular, the integration of cryogenic control and readout ICs appears mandatory to overcome the wiring bottleneck [1]–[3]. In this regard, the promising higher operating temperature (up to 1K) of silicon semiconductor qubits offers a more substantial cryogenic power budget, which could enable addressing larger qubit arrays with integrated cryogenic CMOS electronics. In the context of 100,000 qubits at 1K, the maximum power consumption allowed by cooling capability is about 1W within a compact footprint of just a few cm2, defining targets of2/qubit footprint. Focusing on the readout IC, the semiconductor-qubit coherence time also imposes a typical3.
Spin qubits are a promising candidate for large-scale fault-tolerant quantum computing due to2footprint per qubit, higher operating temperature (up to 1K [1]) and possible compatibility with industrial CMOS processes [2], [3]. However, the need for a simultaneous ~µs readout of thousands of devices is especially challenging in terms of power consumption and footprint per qubit [4], [5]. Frequency-domain multiplexed (FDM) reflectometry architectures using cryo-CMOS have been introduced in [6], [7], [8] but these circuits require bulky > 100µm2inductors and do not match readout time specifications using actual quantum devices. Besides, current integrator readout schemes have been proposed [9], [10], but offer no scaling perspectives beyond time-domain multiplexing, leading to strong constraints in terms of bandwidth and power consumption. Recently, [4] introduced a capacitive-feedback transimpedance amplifier achieving an inductor-less FDM readout of two quantum dots [11]. Nevertheless, the demonstrated power consumption per qubit of 214µW/qubit remains too high to match the maximum heat dissipation allowed near quantum devices [12] in a large-scale perspective. Moreover, the used On-Off Keying (OOK) modulations are limited to one qubit per carrier, thus requiring high bandwidth and power consumption in order to read thousands of qubits.
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 3−4K 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−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 3−4K. Therefore, the control and readout circuits should be designed with low power consumption, projected to be <1mW 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, 4K receiver for qubit readout that achieves >1.9GHz of IF bandwidth with >50dB conversion gain and 0.7dB NF while consuming only 17mW of power consumption, thanks to various design techniques including near-threshold operation and low-1/f-noise passive mixers, representing 3−5× 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.
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 computing holds the promise to solve many of today's intractable problems. A solid-state quantum computer (QC) is generally made of an array of qubits implemented in one of many solid-state technologies and operating at deep-cryogenic temperatures (10-to-20mK). Silicon spin qubits are a promising candidate for scalable QCs, due to their size, long coherence times and potential for co-integration with the required classical control and readout electronics. Recently, semiconductor spin qubits have been demonstrated to operate at ~1K, thus accelerating the achievement of a compact QC [1]. Classical qubit control electronics has also progressed, with the demonstration of fully-integrated control of spin qubits [2] and transmons [3] implemented in a cryo-CMOS technology. While a cryo-CMOS integrated circuit has been co-integrated with quantum dots [4], fully-integrated readout electronics has not yet been addressed in the literature.
Abstract The most promising quantum algorithms require quantum processors that host millions of quantum bits when targeting practical applications1. A key challenge towards large-scale quantum computation is the interconnect complexity. In current solid-state qubit implementations, an important interconnect bottleneck appears between the quantum chip in a dilution refrigerator and the room-temperature electronics. Advanced lithography supports the fabrication of both control electronics and qubits in silicon using technology compatible with complementary metal oxide semiconductors (CMOS)2. When the electronics are designed to operate at cryogenic temperatures, they can ultimately be integrated with the qubits on the same die or package, overcoming the ‘wiring bottleneck’3–6. Here we report a cryogenic CMOS control chip operating at 3 kelvin, which outputs tailored microwave bursts to drive silicon quantum bits cooled to 20 millikelvin. We first benchmark the control chip and find an electrical performance consistent with qubit operations of 99.99 per cent fidelity, assuming ideal qubits. Next, we use it to coherently control actual qubits encoded in the spin of single electrons confined in silicon quantum dots7–9 and find that the cryogenic control chip achieves the same fidelity as commercial instruments at room temperature. Furthermore, we demonstrate the capabilities of the control chip by programming a number of benchmarking protocols, as well as the Deutsch–Josza algorithm10, on a two-qubit quantum processor. These results open up the way towards a fully integrated, scalable silicon-based quantum computer.
Quantum computing promises exponential speed-up in solving certain complex problems that would be intractable by classical computers. However, thousands or millions of qubits might be required to solve useful problems. High-precision and low-noise electrical signals are required to manipulate and read the state of a qubit and to control qubit-to-qubit interactions. Current systems use room temperature electronics with many coax cables routed to the qubit chip inside a dilution refrigerator. This approach does not scale to large number of qubits, due to form factor, cost, power consumption and thermal load to the fridge. To address this challenge, a cryogenic qubit controller has been proposed [1]. The first integrated implementation of a cryogenic pulse modulator has been presented in [2], demonstrating the capability of manipulating (drive) the state of superconducting qubits. The work in [3] extends the capability of the controller with 3 main features: frequency-multiplexing to reduce the number of RF cables per qubit, an arbitrary I/Q pulse generation for improved control fidelity and a digitally-intensive architecture with integrated instruction set to enable integration in existing quantum control stacks. This work further advances the prior art by integrating the capability of reading the qubit state and generating the voltage pulses required for drive, readout, 2-qubit operations and qubit characterization. The SoC can drive up to 16 spin qubits by frequency multiplexing over a single RF line, read the state of up to 6 qubits simultaneously and control up to 22 gate potentials. The SoC also integrates a μ-controller for increased flexibility in implementing the control instruction set. The proposed cryogenic controller can replace all the high-speed control electronics used in conventional solutions today, paving the way towards scalable quantum computers.