Evaluating the resilience of variational quantum algorithms to leakage noise

Ding, Chen; Xu, Xiao-Yue; Zhang, Shuo; Huang, He-Liang; Bao, Wan-Su

doi:10.1103/physreva.106.042421

Cited by 5 publications

(2 citation statements)

References 59 publications

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“…The latter include the Quantum Approximate Optimization Algorithm (QAOA) [467], which is used for combinatorial optimization problems, and the Quantum K-Means Algorithm (QK-means) [468], used for clustering. These quantum variational algorithms, including the VQE, are well-suited for the NISQ era for several reasons, including their ability to cope with noise and other imperfections in current quantum hardware due to their parametric nature [469][470][471].…”

Section: Quantum Variational Algorithmsmentioning

confidence: 99%

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Yago Malo,

Lepori,

Gentini

et al. 2024

Technologies

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Physics is living an era of unprecedented cross-fertilization among the different areas of science. In this perspective review, we discuss the manifold impact that state-of-the-art cold and ultracold-atomic platforms can have in fundamental and applied science through the development of platforms for quantum simulation, computation, metrology and sensing. We illustrate how the engineering of table-top experiments with atom technologies is engendering applications to understand problems in condensed matter and fundamental physics, cosmology and astrophysics, unveil foundational aspects of quantum mechanics, and advance quantum chemistry and the emerging field of quantum biology. In this journey, we take the perspective of two main approaches, i.e., creating quantum analogues and building quantum simulators, highlighting that independently of the ultimate goal of a universal quantum computer to be met, the remarkable transformative effects of these achievements remain unchanged. We wish to convey three main messages. First, this atom-based quantum technology enterprise is signing a new era in the way quantum technologies are used for fundamental science, even beyond the advancement of knowledge, which is characterised by truly cross-disciplinary research, extended interplay between theoretical and experimental thinking, and intersectoral approach. Second, quantum many-body physics is unavoidably taking center stage in frontier’s science. Third, quantum science and technology progress will have capillary impact on society, meaning this effect is not confined to isolated or highly specialized areas of knowledge, but is expected to reach and have a pervasive influence on a broad range of society aspects: while this happens, the adoption of a responsible research and innovation approach to quantum technologies is mandatory, to accompany citizens in building awareness and future scaffolding. Following on all the above reflections, this perspective review is thus aimed at scientists active or interested in interdisciplinary research, providing the reader with an overview of the current status of these wide fields of research where cold and ultracold-atomic platforms play a vital role in their description and simulation.

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Section: Quantum Variational Algorithmsmentioning

confidence: 99%

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Yago Malo,

Lepori,

Gentini

et al. 2024

Technologies

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“…In the pursuit of large-scale fault-tolerant quantum computers, the presence of noise arising from environmental noise and imperfect hardware remains a significant challenge. [1][2][3][4]. The field of Quantum error mitigation (QEM) techniques [5][6][7][8][9][10][11][12][13] braves this challenge, offering hopeful solutions that reduce the impact of noise even in the absence of full-blown quantum error correction [14][15][16][17].…”

mentioning

confidence: 99%

Circuit-Noise-Resilient Virtual Distillation

Huang,

Xu,

Ding

et al. 2024

Preprint

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Quantum error mitigation (QEM) is crucial for near-term quantum devices, as noise inherently exists in physical quantum systems and undermines the accuracy of quantum algorithms. A typical QEM method, called Virtual Distillation (VD), aims to mitigate errors for expectation values of observables and achieve effective exponential suppression using multiple copies of the noisy state. However, imperfect VD circuit implementation may yield negative mitigation outcomes, potentially more severe than those achieved without QEM. To address this, we introduce Circuit-Noise-Resilient Virtual Distillation (CNR-VD). This method, featuring a calibration procedure that utilizes easily-prepared input states, refines the outcomes of VD when its circuit is contaminated by noise, seeking to recover the results of an ideally conducted VD circuit. Simulation results demonstrate that the CNR-VD estimator effectively reduces deviations induced by noise in the VD circuit, showcasing improvements in accuracy by an order of magnitude at most compared to the original VD. Meanwhile, CNR-VD enables positive mitigation effects, even in the presence of higher noise levels where the original VD performs worse than the unmitigated estimation. The proposed CNR-VD significantly enhances the noise-resilience of VD, and thus is anticipated to elevate the performance of quantum algorithm implementations on near-term quantum devices.

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Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

Huang

Guo

et al. 2023

Sci. China Phys. Mech. Astron.

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Evaluating the resilience of variational quantum algorithms to leakage noise

Cited by 5 publications

References 59 publications

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Circuit-Noise-Resilient Virtual Distillation

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

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