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Scalable and customizable arbitrary waveform generator for superconducting quantum computing

Jin Lin, Futian Liang, Yu Xu, Lihua Sun, Cheng Guo, Sheng‐Kai Liao, Cheng-Zhi Peng

Published Nov 1, 2019• 18 citations
Publisher

Abstract

Superconducting quantum processors are manufactured based on a semiconductor process, which makes qubit integration possible. At the same time, this kind of qubit exhibits high-performance fidelity and decoherence time and requires a programmable arbitrary waveform generator (AWG). This paper presents the implementation of an AWG with a sampling rate of two-gigabit samples per second as well as 16-bit vertical resolution digital-to-analog converters. The AWGs are designed for a scaled-up usage scenario by integrating them with separate microwave devices onto a single backplane. A special waveform sequence output controller is designed to realize seamless waveform switching and arbitrary waveform generation. The jitter of multiple AWG channels is around 10 ps, and the integral nonlinearity and differential nonlinearity are both about 2 least significant bits. This customizable AWG has been used in several superconducting quantum processors, and the result of multiple qubits’ measurement verifies that the AWG is qualified for controlling tens of superconducting qubits.

DOI
10.1063/1.5120299

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Superconducting quantum processors are manufactured based on a semiconductor process, which makes qubit integration possible. At the same time, this kind of qubit exhibits high-performance fidelity and decoherence time and requires a programmable arbitrary waveform generator (AWG). This paper presents the implementation of an AWG with a sampling rate of two-gigabit samples per second as well as 16-bit vertical resolution digital-to-analog converters. The AWGs are designed for a scaled-up usage scenario by integrating them with separate microwave devices onto a single backplane. A special waveform sequence output controller is designed to realize seamless waveform switching and arbitrary waveform generation. The jitter of multiple AWG channels is around 10 ps, and the integral nonlinearity and differential nonlinearity are both about 2 least significant bits. This customizable AWG has been used in several superconducting quantum processors, and the result of multiple qubits’ measurement verifies that the AWG is qualified for controlling tens of superconducting qubits.
Superconducting quantum computer is manufactured based on semiconductor process which makes qubits integration possible. At the same time, this kind of qubit exhibits high performance fidelity, de-coherence time, scalability and requires a programmable arbitrary waveform generator (AWG). This paper presents implementation of an AWG which composed of two gigabit samples per second (GSPS) sampling rate, 16 bit vertical resolution digital to analog converters (DACs). The AWG integrated with separate microwave devices onto a metal plate for the scale-up consideration. A special waveform sequence output controller is designed to realize seamless waveform switching and arbitrary waveform generator. The jitter in multiple AWG channels is around 10ps, Integral nonlinearity (INL) as well as differential nonlinearity (DNL) is about 2 LSB, and the qubit performance of the de-coherence time (T2*) achieved 33% promotion over that of a commercial 1 GSPS, 14 bit AWG.
This paper reports the development of a low-latency arbitrary waveform generator (AWG), which is suitable for the control and measurement of superconducting quantum computers. It can generate qubit control signals and measurement signals in real time. Compared with commercial AWG, our AWG has less latency and higher analog bandwidth. Compressing latency can reduce system feedback time, and higher analog bandwidth improves the system's integration by mounting more qubits on the readout line. The AWG integrates four high-speed digital-to-analog converters (DACs), phase-locked loop (PLL) circuits, field-programmable gate arrays (FPGAs), and related circuits into a standard PXI 3U board. The waveform generator module, communication interface module, clock module, and configuration module are realized utilizing the FPGA. The FPGA-based hardware architecture enables AWG to be flexibly configured to meet the various needs of quantum experiments. The four-channel AWG has a 2-GSa/s sampling rate, a 14-bit resolution, and 500 MHz bandwidth. The jitter in the AWG output waveform is approximately 3 ps; the latency of the AWG (the time from the feedback trigger received until a feedback pulse is generated) is approximately 55 ns. These designs form the basis of realizing control system for large-scale quantum computing.
Superconducting qubits are the promising candidate to realize large-scale quantum computing systems. Well-known quantum algorithms, such as Shor's algorithm, require at least10510^{5}105to10610^{6}106qubits to execute. Accordingly, classical systems for controlling superconducting qubits must also be scalable. One critical scalability challenge lies in the circuit cost of an RF pulse generator used to implement quantum gate operations. This poster proposes a cost-effective architecture for an RF pulse generator tailored to superconducting qubits. Most existing works use arbitrary waveform generators (AWGs) that require both a high-bandwidth memory (HBM) and a high-performance digital-analog converter (DAC) to achieve the highest gate fidelity with an optimized RF pulse waveform. The proposed pulse generator architecture significantly simplifies both the generator circuit and the waveform of the RF pulse to cost-aware square pulses. This architecture eliminates the requirement for power- and cost-intensive AWG, which is a major obstacle in realizing scalable quantum computers. Additionally, this poster demonstrates that our architecture can mitigate the error source associated with simplified RF pulses. Quantum dynamics simulation of transmon qubits, wherein the state of the system evolves with time, demonstrates that our pulse generator can achieve practically the same fidelity of gate operations for single and multiple qubits as ideal RF pulses while substantially reducing the sampling rate of DACs and the bandwidth of memories.
Current state of the art quantum computing experiments in the microwave regime use control pulses generated by modulating microwave tones with baseband signals generated by an arbitrary waveform generator (AWG). Recent advances in digital analog conversion technology have made it possible to directly synthesize arbitrary microwave pulses with sampling rates up to 92 gigasamples per second (GS/s). These new high bandwidth AWG's could dramatically simplify the classical control chain for quantum computing experiments, enabling more advanced pulse shaping and reducing the number of components that need to be carefully calibrated. Here we use a high speed AWG to study the viability of such a simplified scheme. We characterize the AWG and perform randomized benchmarking of a superconducting qubit, achieving average single qubit gate error rates below 5×10−45\times10^{-4}5×10−4.
Arbitrary Waveform Generators (AWGs) have widespread applications in telecommunications, quantum computing, and biomedical engineering, among others, due to their ability to generate a wide range of waveforms precisely and instantaneously. This work focuses on developing a scalable and energy-efficient AWG for qubit control. A simple methodology for bringing up a Radio-Frequency System-on-Chip (RFSoC) board and using it to generate various arbitrary waveforms has been discussed. A software-hardware codesign paradigm has been used in this work to dynamically control the output frequency, voltage and shape of the arbitrary waveforms. Similarly, the on-the-fly programmability of four Digital to Analog convertor (DAC) channels and four Analog to Digital Converter (ADC) channels have been tested. The voltage and frequency response of the DAC output has also been characterised to better understand the limitations of the RFSoC. The DAC-ADC loopback characterisation was also performed to prepare the RFSoC for qubit state readout measurements. Over the last few decades, the Direct Digital Synthesiser (DDS) has been a popular choice for generating specific waveforms, such as sinusoidal and ramp waveforms, due to its low cost, simple design, and high precision. Several prior-art works were surveyed, and the trade-offs and strengths of each architecture were summarised. A benchmarking table is prepared based on the Power, Performance and Area (PPA) analysis to make design selection easier for DDS designers. Two Figure of Merit definitions and scaling equations have also been used to normalise the specifications to a target process node (28 nm CMOS), to provide a more accurate comparison among state-of-the-art DDS designs on Application Specific Integrated Circuits (ASICs), and to set expectations for future architectural advancements in DDS design. Finally, a viable DDS-based AWG architecture for ASIC implementation has also been proposed based on the benchmarking.
We have developed an electronic hardware system for the control and readout of multi-superconducting qubit devices. The hardware system is based on the design ideas of good scalability, high synchronization and low latency. The system, housed inside a VPX-6U chassis, includes multiple arbitrary-waveform generator (AWG) channels, analog-digital-converter (ADC) channels as well as direct current source channels. The system can be used for the control and readout of up to twelve superconducting transmon qubits in one chassis, and control and readout of more and more qubit can be carried out by interconnecting the chassis. By using field programmable gate array (FPGA) processors, the system incorporates three features that are specifically useful for superconducting qubit research. Firstly, qubit signals can be processed using the on-board FPGA after being acquired by ADCs, significantly reducing data processing time and data amount for storage and transmission. Secondly, different output modes, such as direct output and sequential output modes, of AWG can be implemented with pre-encoded FPGA. Thirdly, with data acquisition ADCs and controlAWGs jointly controlled by the same FPGA, the feedback latency can be reduced, and in ourtest a 178.4 ns latency time is realized. This is very useful for future quantum feedback experiments. Finally, we demonstrate the functionality of the system by applying the system to the control and readout of a 10 qubit superconducting quantum processor.