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IEEE Journal of Solid-State Circuits

A 40-nm Cryo-CMOS Quantum Controller IC for Superconducting Qubit

Kiseo Kang, Donggyu Minn, Seongun Bae, Jaeho Lee, Seokhyeong Kang, Moonjoo Lee, Ho-Jin Song, Jae‐Yoon Sim

Published Aug 25, 2022• 46 citations
Publisher

Abstract

This article presents a cryo-CMOS quantum controller IC for superconducting qubits. The proposed globally synchronized clock system internally generates different local oscillator (LO) frequencies using multiple phase-locked loops (PLLs) driven by a common reference clock. It provides flexibility in spectral management as well as scalability for expansion to a large-scale quantum controller. The test chip includes two PLLs, four pulse modulator channels, and two receiver channels. Implemented chip in 40-nm CMOS shows full functionalities at 3.5 K. The designed pulse modulator circuits are verified with the specifications for expected fidelity of 99.99%.

DOI
10.1109/jssc.2022.3198663

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This article presents a cryo-CMOS quantum controller IC for superconducting qubits. The proposed globally synchronized clock system internally generates different local oscillator (LO) frequencies using multiple phase-locked loops (PLLs) driven by a common reference clock. It provides flexibility in spectral management as well as scalability for expansion to a large-scale quantum controller. The test chip includes two PLLs, four pulse modulator channels, and two receiver channels. Implemented chip in 40-nm CMOS shows full functionalities at 3.5 K. The designed pulse modulator circuits are verified with the specifications for expected fidelity of 99.99%.
Extensive research on quantum mechanics in past decades has successfully paved the way towards the disruptive technology of quantum computing. A further step to the realization of a fault-tolerant scalable quantum computer is presenting challenges in the field of engineering. It necessitates a microsystem operating at 4K in a dilution refrigerator, which would be inevitable to control thousands or millions of qubits sitting at 10mK. There have been IC implementations of pulse modulators generating qubit-controlling microwave signals [1– 4]. The pulse modulation based on direct synthesis demonstrated feasibility of driving multiple qubits with frequency-division multiplexing (FDM) through one RF cable [1 – 3]. The first implementation of a full controller [1], which includes both read and write chains for spin qubits, demonstrated the highest level of integration. However, the previous work used external local oscillator (LO) sources for frequency synthesis. External feeding of LO requires precise matching; otherwise, a failure would cause leakage to the qubit driving output through PCB traces, resulting in AC-Stark shift of qubit state by unwanted tones at near-resonance. It becomes more problematic in FDM-based multi-qubit driving. Since the fidelity of qubit operations strongly relies on the quality of driving frequency, a low-noise LO generation by a phase-locked loop (PLL) is one of the most important factors [5]. The internal generation of LO gives additional benefits in superconducting qubit interface. It necessitates multiple LOs since the superconducting qubit uses microwave pulse driving for both read and write. To detect the state of a qubit through dispersive readout, the phase reflected from the readout resonator should be measured. Therefore, the driving pulses for the read and the write should be synchronized to a single reference timing. Using built-in PLLs sharing a single reference clock naturally solves this problem.
A universal fault-tolerant quantum computer will require large-scale control systems that can realize all the waveforms required to implement a gateset that is universal for quantum computing. Optimization of such a system, which must be precise and extensible, is an open research challenge. Here, we present a cryogenic quantum control integrated circuit (IC) that is able to control all the necessary degrees of freedom of a two-qubit subcircuit of a superconducting quantum processor. Specifically, the IC contains a pair of 4–8-GHz RF pulse generators forXYXYXYcontrol, three baseband current generators for qubit and coupler frequency control, and a digital controller that includes a sequencer for gate sequence playback. After motivating the architecture, we describe the circuit-level implementation details and present experimental results. Using standard benchmarking techniques, we show that the cryogenic CMOS (cryo-CMOS) IC is able to execute the components of a gateset that is universal for quantum computing while achieving single-qubitXYXYXYandZZZaverage gate error rates of 0.17%–0.36% and 0.14%–0.17%, respectively, as well as two-qubit average cross-entropy benchmarking (XEB) cycle error rates of 1.2%. These error rates, which were achieved while dissipating just 4 mW/qubit, are comparable to the measured error rates obtained using baseline room-temperature electronics.
This article presents a fully integrated Cryo-CMOS system on chip (SoC) for quantum computing. The proposed SoC integrates a radio frequency (RF) pulse modulator for qubit state manipulation, a multi-tone signal generator and a coherent receiver for qubit state readout, and 22 DACs for high-speed voltage pulsing of qubit gates. By adopting frequency division multiplexing and direct digital synthesis (DDS), the RF pulse modulator can control up to 16 qubits over a single RF line, and the readout receiver can detect the state of up to six qubits simultaneously. The proposed SoC also integrates a microcontroller for low latency on-chip signal processing and increased flexibility in implementing quantum instruction sets. A detailed analysis of qubit-state readout fidelity and the impact of finite DAC resolution on two-qubit gate fidelity is also included in this article, together with an electrical specification summary. The SoC is implemented in Intel’s 22 nm FFL fin field-effect transistor (FinFET) process, and it is characterized both at room and 4 K temperatures. The performance of each specific block is measured, with the readout characterized in a loop-back configuration. Generation of the control signals required for a full Rabi oscillation experiment is also demonstrated. This article also describes the cryogenic thermalization techniques used to integrate the SoC in the dilution refrigerator and shows temperature measurements during operation.
Building a large-scale quantum computer requires the co-optimization of both the quantum bits (qubits) and their control electronics. By operating the CMOS control circuits at cryogenic temperatures (cryo-CMOS), and hence in close proximity to the cryogenic solid-state qubits, a compact quantum-computing system can be achieved, thus promising scalability to the large number of qubits required in a practical application. This work presents a cryo-CMOS microwave signal generator for frequency-multiplexed control of 4 × 32 qubits (32 qubits per RF output). A digitally intensive architecture offering full programmability of phase, amplitude, and frequency of the output microwave pulses and a wideband RF front end operating from 2 to 20 GHz allow targeting both spin qubits and transmons. The controller comprises a qubit-phase-tracking direct digital synthesis (DDS) back end for coherent qubit control and a single-sideband (SSB) RF front end optimized for minimum leakage between the qubit channels. Fabricated in Intel 22-nm FinFET technology, it achieves a 48-dB SNR and 45-dB spurious-free dynamic range (SFDR) in a 1-GHz data bandwidth when operating at 3 K, thus enabling high-fidelity qubit control. By exploiting the on-chip 4096-instruction memory, the capability to translate quantum algorithms to microwave signals has been demonstrated by coherently controlling a spin qubit at both 14 and 18 GHz.
While large-scale fault-tolerant quantum computers promise to enable the solution to certain classes of problems for which no other efficient approach is known, such a machine is believed to require over a million performant qubits. Scaling today's 0(100) qubit superconducting (SC) quantum computers to this extent while also improving performance carries many daunting challenges, including control of such a large quantum processor (QP). Integrating the control electronics at an intermediate temperature stage within the cryostat is an attractive option, e.g., due to the inherent thermal stability of the cryogenic environment and the feasibility of connecting to the QP via dense low-loss/high-thermal-isolation SC lines [1], [2]. Several cryo-CMOS quantum controllers have been reported, with examples used to control spin [3] and transmon [1], [2] qubits. To date, IC-based quantum control experiments have focused on resonant RF control, but baseband signals are often central to the execution of gates. Here, we report the design and system characterization of a cryo-CMOS IC for generating both the RF and baseband signals required for full control of a SC QP unit-cell, and show its ability to implement the components of a high-fidelity gate set that is universal for quantum computing.
Scaling superconducting quantum computers toward thousands of control channels remains a difficult hardware problem. This requires reducing room-temperature-to-cryogenic interconnects and 4 K power while retaining channel-specific programmability. We develop a hybrid photonic/CMOS control architecture in which optical fibers distribute shared Gaussian and derivative pulse templates, while local cryogenic CMOS circuits provide event-rate amplitude programming, pulse blocking, hold-duration control, photodetection, and microwave upconversion. The architecture supports template-based XY/DRAG control and smooth-edged flat-top envelopes for two-qubit control through separate local signal paths. Compared with full-waveform Cryo-CMOS, it moves high-speed sampled-waveform generation out of each cryogenic channel. Compared with per-channel photonic waveform delivery, it retains a programmable endpoint after optical distribution for applying updated channel coefficients and control states. We evaluate the architecture using post-layout circuit simulations, optical and interconnect models, and system-level power scaling under a common 4 K output boundary. The modeled downlink power is below 1 mW per qubit-control channel at the thousand-channel scale, substantially below the normalized full-waveform Cryo-CMOS result and in the same range as the strict 50-ohm direct-detection WDM reference. Simulated I- and Q-path outputs are propagated through a five-level transmon model, while the simulated sample-and-hold output is evaluated in a coupled-transmon model. The tested single-qubit cases remain below the 10^-3 worst-state error reference, and the representative two-qubit result remains near the same scale after model-level calibration. These results support low-power photonic delivery with limited in-fridge programmability for template-compatible superconducting-qubit control.