Radiation impacts are a current challenge with computing on superconducting-based quantum devices because they can lead to widespread correlated errors across the device. Such errors can be problematic for quantum error correction (QEC) codes, which are generally designed to correct independent errors. To address this, we have developed a computational model to simulate the effects of radiation impacts on QEC performance. This is achieved by building from recently developed models of quasiparticle density, mapping radiation-induced qubit error rates onto a quantum error channel and simulation of a simple surface code. We also provide a performance metric to quantify the resilience of a QEC code to radiation impacts. Additionally, we sweep various parameters of chip design to test mitigation strategies for improved QEC performance. Our model approach is holistic, allowing for modular performance testing of error mitigation strategies and chip and code designs.
Radiation impacts are a current challenge with computing on superconducting-based quantum devices because they can lead to widespread correlated errors across the device. Such errors can be problematic for quantum error correction (QEC) codes, which are generally designed to correct independent errors. To address this, we have developed a computational model to simulate the effects of radiation impacts on QEC performance. This is achieved by building from recently developed models of quasiparticle density, mapping radiation-induced qubit error rates onto a quantum error channel and simulation of a simple surface code. We also provide a performance metric to quantify the resilience of a QEC code to radiation impacts. Additionally, we sweep various parameters of chip design to test mitigation strategies for improved QEC performance. Our model approach is holistic, allowing for modular performance testing of error mitigation strategies and chip and code designs.
Reliability is fundamental for developing large-scale quantum computers. Since the benefit of technological advancements to the qubit’s stability is saturating, algorithmic solutions, such as quantum error correction (QEC) codes, are needed to bridge the gap to reliable computation. Unfortunately, the deployment of the first quantum computers has identified faults induced by natural radiation as an additional threat to qubits reliability. The high sensitivity of qubits to radiation hinders the large-scale adoption of quantum computers, since the persistence and area-of-effect of the fault can potentially undermine the efficacy of the most advanced QEC. In this paper, we investigate the resilience of various implementations of state-of-the-art QEC codes to radiation-induced faults. We report data from over 400 million fault injections and correlate hardware faults with the logical error observed after decoding the code output, extrapolating physical-to-logical error rates. We compare the code’s radiation-induced logical error rate over the code distance, the number and role in the QEC of physical qubits, the underlying quantum computer topology, and particle energy spread in the chip. We show that, by simply selecting and tuning properly the surface code, thus without introducing any overhead, the probability of correcting a radiation-induced fault is increased by up to 10%. Finally, we provide indications and guidelines for the design of future QEC codes to further increase their effectiveness against radiation-induced events.
Impacts from high-energy particles cause correlated errors in superconducting qubits by increasing the quasiparticle density in the vicinity of the Josephson junctions (JJs). Such errors are particularly harmful as they cannot be easily remedied via conventional error correcting codes. Recent experiments reduced correlated errors by making the difference in superconducting gap energy across the JJ larger than the qubit transition energy. In this work, we assess gap engineering near the JJ (δΔJJ) and the capacitor/ground-plane (δΔM1) by exposing arrays of transmon qubits to two sources of radiation. For α-particles from an 241Am source, we observe T1 errors correlated in space and time, supporting a hypothesis that hadronic cosmic rays are a major contributor to the 10−10 error floor observed in Ref. 1. For electrons from a pulsed linear accelerator, we observe temporally correlated T1 and T2 errors, this measurement is insensitive to spatial correlations. We observe that the severity of correlated T1 errors is reduced for qubit arrays with a greater degree of gap engineering at the JJ. For both T1 and T2 errors, the recovery time is hastened by an increased δΔM1, which we attribute to the trapping of quasiparticles into the capacitor/ground-plane. We construct a model of quasiparticle dynamics that qualitatively agrees with our observations. This work reinforces the multifaceted influence of radiation on superconducting qubits and provides strategies for improving radiation resilience.
The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources, such as correlated errors (crosstalk), which can significantly impact QEC code performance, especially when they occur between data and ancillary qubits. In this paper, we systematically study various types of crosstalk noise and quantify their effects on surface codes through memory and stability experiments. Based on our findings, we introduce crosstalk-robust implementations of QEC via flag qubit designs and redundant stabilizer checks. We perform both numerical and analytical studies to demonstrate the efficacy of these strategies. In addition, we analyze logical crosstalk in an[[n,k>1,d]]code block and establish analytical conditions under which physical crosstalk does not lead to logical crosstalk. Together, our analytical and numerical results shed light on designing QEC codes that are robust against hardware realistic crosstalk noise, paving the way for reliable experimental realization of fault-tolerant quantum computing.
Abstract Quantum error correction (QEC) is essential for scalable quantum computing, but its realistic evaluation is hindered by the difficulty of simulating coherent noise in large codes. We propose a unified framework for the rotated surface code that integrates a qubit-reduction strategy preserving error dynamics, a coherent noise model with spatial and temporal correlations, and an effective error model validated through simulations up to d=7. GPU-accelerated simulations using QULACS show that coherent errors in the d=5 code predominantly interfere destructively, reducing their effective impact by about 13%. Based on these results, we establish conditions for break-even QEC, requiring a gate-time-to-coherence-time ratio below 0.005–0.007. Our findings indicate that current superconducting platforms operate close to this regime, with residual coupling-induced coherent errors as the main limitation, and provide a practical tool for optimizing surface-code QEC.
Study of the Issue Quantum error correction (QEC) is crucial yet incurs significant qubit overhead costs. The current QEC codes lack sufficient efficiency for near-term devices. The current generation of NISQ devices, which often rely on delicate nanostructured qubit architectures, is prone to noise, decoherence, and gate faults, which severely limit their computing capability and scalability. While traditional quantum error correction codes, such as the surface code, are theoretically resilient, they often require significant qubit overhead and complex management systems that exceed the hardware capabilities of NISQ-era devices. This raises the question of whether new, resource-efficient QEC strategies or hybrid error mitigation approaches can be tailored to the limits of nanostructured NISQ designs. This document examines the constraints of existing quantum error correction (QEC) codes, which are crucial for preserving the fidelity of quantum computations yet require substantial qubit resources. This study examines the shortcomings of current Quantum Error Correction (QEC) codes in relation to Noisy Intermediate-Scale Quantum (NISQ) devices and explores alternative strategies to create more efficient, low-overhead QEC frameworks appropriate for imminent quantum technologies.
ABSTRACT The quest for universal superconducting quantum computing is hindered by noise and errors. It has been proven that Quantum Error Correction (QEC) codes will lay at the foundation of fault‐tolerant quantum computing. However, cosmic‐ray‐induced correlated errors, the most detrimental events that can impact superconducting quantum computers, are yet to be efficiently tackled. In order to reach fault tolerance, we must also develop radiation aware methods to complement QEC. In this paper, the first algorithm to effectively exploit syndrome information for the efficient detection of radiation events in superconducting quantum devices at runtime is proposed. A thorough analysis of simulated Rotated Surface codes injecting over 11 million physics‐modeled radiation‐induced faults is performed. The properties of the X and Z check bases, the impact of code distance, and the decoder's time to solution constraints are considered. The technique detects of injected faults, regardless of the impact's position. Moreover, both the radiation impact center and the area affected are accurately identified, with an overhead lower than the decoding time. Additionally, the fault identification information is used to propose a radiation fault correction technique that improves of up to the output correctness compared to existing decoders.