This paper presents a comprehensive cryogenic analog signal processing architecture designed for superconducting qubit control and quantum state readout operating at 4 Kelvin. The proposed system implements a complete bidirectional signal path bridging room-temperature digital controllers with quantum processors at millikelvin stages. The control path incorporates a Phase-Locked Loop (PLL) for stable local oscillator generation, In-phase/Quadrature (I/Q) modulation for precise qubit gate operations, and a cryogenic power amplifier for signal conditioning. The readout path features a Low Noise Amplifier (LNA) with 14 dB gain and 8-Phase Shift Keying (8-PSK) demodulation for quantum state discrimination. All circuit blocks are designed and validated through SPICE simulations employing cryogenic MOSFET models at 180nm that account for carrier freeze-out, threshold voltage elevation, and enhanced mobility at 4 K. Simulation results demonstrate successful end-to-end signal integrity with I/Q phase error below 2°, image rejection ratio exceeding 35~dB, and symbol error rate below $10^{-6}$. This work provides a modular, simulation-validated framework for scalable cryogenic quantum control systems.
This paper presents a comprehensive cryogenic analog signal processing architecture designed for superconducting qubit control and quantum state readout operating at 4 Kelvin. The proposed system implements a complete bidirectional signal path bridging room-temperature digital controllers with quantum processors at millikelvin stages. The control path incorporates a Phase-Locked Loop (PLL) for stable local oscillator generation, In-phase/Quadrature (I/Q) modulation for precise qubit gate operations, and a cryogenic power amplifier for signal conditioning. The readout path features a Low Noise Amplifier (LNA) with 14 dB gain and 8-Phase Shift Keying (8-PSK) demodulation for quantum state discrimination. All circuit blocks are designed and validated through SPICE simulations employing cryogenic MOSFET models at 180nm that account for carrier freeze-out, threshold voltage elevation, and enhanced mobility at 4 K. Simulation results demonstrate successful end-to-end signal integrity with I/Q phase error below 2°, image rejection ratio exceeding 35~dB, and symbol error rate below 10−6. This work provides a modular, simulation-validated framework for scalable cryogenic quantum control 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.
Today’s quantum computing systems rely on commercial electronics operating at room temperature in order to perform control and readout operations for qubits [1] –[6]. The qubits operate at cryogenic temperatures; the signals that support control and readout of qubits therefore traverse multiple temperature stages in a dilution refrigerator to enable interaction with the qubits of a quantum computer. For many of the most advanced quantum computers built to date, the control of each individual qubit demands application of a radiofrequency pulse that is precisely calibrated in frequency, amplitude, and phase. Oubit readout demands the amplification of very low amplitude signals that are then post-processed to categorize the state of the qubit being measured. Oubit control electronics are implemented using arbitrary waveform generators (AWGs) of various types. The scalability of such systems is challenged by the need to scale the number of qubit control electronics units linearly with the number of qubits in the system. One approach to mitigating this challenge that is under active exploration is the use of multi-channel AWGs (tailored to the requirements of qubit control) that operate at the 4K stage of a quantum computing system [7] –[10]. Oubit readout electronics are typically implemented using multiple stages of amplification and then DSP-based readout performed at room temperature. In today’s systems, while readout electronics benefits from multiplexing of the readout signals (enabling a single cascade of moderately wideband amplifiers to support the delivery of multiple readout signals to the room-temperature electronics), again, the scalability of this approach is challenged much as is the case with control electronics. One approach to mitigating the readout challenge is the expanded use of cryogenic electronics in the readout chain. Success in the implementation of cryogenic control and readout solutions depends critically on multiple CMOS sub-components; in this paper we focus on SRAM and low noise amplifiers (LNAs). Note that SRAM is critical for both control and readout applications as a mixed-signal solution involving the combination of a custom processor and analog elements is highly desirable in both cases. Further, while the LNA is directly used as an element in the readout chain, a deep assessment of LNA performance and opportunities strongly benefits overall understanding of achievable noise performance in CMOS technologies at cryogenic temperatures and is therefore impoitant in both control and readout contexts.
This article presents a cryogenic quantum interface chipset at 3.5 K for superconducting transmon qubit operations. The chipset comprises a phase-detection readout and a phase-shifter-based polar-modulation controller with flexible scalability. With the proposed phase-detection readout scheme, a 9-bit time-to-digital converter (TDC)-based state detector is used to read out the qubit state by detecting the phase difference between the stimulus signal and the reflected signal. A low-IF N-path filter-based receiver and a multi-tone transmitter are co-designed to enable frequency-division multiplexing (FDM) dispersive readout of multiple qubits. A phase-shifter-based polar-modulation XY-driver is developed with support for fast phase quantum gate operation and derivative-removal-by-adiabatic-gate (DRAG) pulse generation. The Z-driver is realized using a static digital-to-analog converter (DAC) array and a 10-bit dynamic DAC for power efficiency. Fabricated in a 28-nm bulk CMOS process, the chipset occupies a die area of 4.6 mm2. The readout RX achieves a noise temperature of 40 K with a gain of 45–83 dB and a bandwidth of 1.2 GHz. The readout RX consumes 32% less power than state-of-the-art designs. The measured total readout power for simultaneous detection of two qubits is 12.2 mW, which is the lowest among readouts with a similar integration level. In addition, the controller achieves a spurious-free dynamic range (SFDR) of 49 dB for a 1-GS/s Z-driver and an SNR of 42 dB for a 1-GS/s XY-driver. The XY-driver consumes 4.3 mW per qubit under active control. Verified with practical transmon qubits, the readout fidelity exceeds 92.6%, approaching that of commercial instruments. A Rabi experiment at 5.61/6.36 MHz, a Ramsey experiment at 4.1 MHz, and a T1 experiment at9.98μs are also successfully observed using the proposed chipset at 3.5 K.
This article presents a cryogenic CMOS receiver operating across 4.7–7.9 GHz for frequency-division multiplexing (FDM) quantum state readout. The designed receiver employs a double quadrature (DQ) architecture and a hybrid poly-phase filter (PPF) is proposed to achieve an impressive image rejection ratio (IRR) to meet the 99.99% higher fidelity requirements in quantum error correction (QEC). In addition, gain tuning at different stages of the low noise amplifier (LNA) facilitates a broadband gain and flatness, while the subsequent receiver chains of a broadband mixer and an improved four-input intermediate frequency amplifier (IF-AMP) provide further gain compensation. Fabricated with a standard 55-nm CMOS technology, the LNA achieves a measured power gain of 27.4 dB, with a −3-dB bandwidth (BW) of 5.2 GHz at 6 K. The measured cryogenic noise figure (NF) ranges from 0.79 to 1 dB consuming merely 5.5 mW from a 1.2-V supply. Overall receiver measurements demonstrate a peak gain of 48.2 dB, a −5-dB flatness of 3.2 GHz, and an IRR that exceeds 40 dB at 6 K. These results demonstrate the receiver’s capacity for high-fidelity qubits’ state readout.
This article presents a cryogenic transmon qubit state controller integrated circuit (IC) working at a temperature of 3.5 K for superconducting quantum computing (QC) applications. The qubit state controller IC comprises a polar-modulation-based XY -path driver and a current-steering digital-to-analog converter (DAC)-basedZ-path driver. To generate the XY -path driving pulse with arbitrary envelopes in the frequency range of 4–6 GHz, a switched-capacitor digital power amplifier (DPA) is adopted for amplitude modulation, and an injection locking local oscillator (IL-LO) with a constant-slope digital-to-time-converter (DTC) is used for open-loop phase modulation. With the proposed DPA and IL-LO, the controller can control a qubit with a compact architecture. Fabricated in the 28-nm bulk CMOS process, the controller IC occupies an active die area of 0.9 mm2 per driving channel. The controller achieves a spurious-free dynamic range (SFDR) of 40 dB for a 1 GS/s XY -path driver and an SFDR of 48 dB for a 1 GS/sZ-path driver at 3.5 K. The controller consumes a power of 13.7 mW per qubit. A Rabi experiment at 13.9 MHz, a Ramsey experiment at 3.09 MHz, and a T1 experiment at 15.87μsare conducted using the presented controller IC at 3.5 K to control the transmon superconducting qubit at 10 mK directly.
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.