QECOOL: On-Line Quantum Error Correction with a Superconducting Decoder for Surface Code

Due to the low error tolerance of a qubit, detecting and correcting errors on it is essential for fault-tolerant quantum computing. Surface code (SC) associated with its decoding algorithm is one of the most promising quantum error correction (QEC) methods. QEC needs to be very power-efficient since...

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Bibliographic Details
Published in:	2021 58th ACM/IEEE Design Automation Conference (DAC) pp. 451 - 456
Main Authors:	Ueno, Yosuke, Kondo, Masaaki, Tanaka, Masamitsu, Suzuki, Yasunari, Tabuchi, Yutaka
Format:	Conference Proceeding
Language:	English
Published:	IEEE 05.12.2021
Subjects:	Hardware Josephson junctions Measurement errors Power demand Quantum Error Correction Qubit Refrigerators SFQ logic Superconducting logic circuits
Online Access:	Get full text
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Summary:	Due to the low error tolerance of a qubit, detecting and correcting errors on it is essential for fault-tolerant quantum computing. Surface code (SC) associated with its decoding algorithm is one of the most promising quantum error correction (QEC) methods. QEC needs to be very power-efficient since the power budget is limited inside of a dilution refrigerator for superconducting qubits by which one of the most successful quantum computers (QCs) is built. In this paper, we propose an online-QEC algorithm and its hardware implementation with SFQ based superconducting digital circuits. We design a key building block of the proposed hardware with an SFQ cell library and evaluate it by the SPICE-level simulation. Each logic element is composed of about 3000 Josephson junctions and power consumption is about 2.78 \mu \mathrm{W} when operating with 2 GHz clock frequency which meets the required decoding speed. Our decoder is simulated on a quantum error simulator for code distances 5 to 13 and achieves a 1.0% accuracy threshold.
DOI:	10.1109/DAC18074.2021.9586326