ArticleNature communications2021
Noise-induced barren plateaus in variational quantum algorithms.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 52 papers.
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Who cites it
52 citing papers in PubMed.
- Evidence of scaling advantage on an NP-complete problem with enhanced quantum solvers.Nature computational science · 2026Article
- Tensor network-based gene regulatory network inference for single-cell transcriptomic data.iScience · 2026Article
- Generalised quantum computational spectroscopy on a quantum chip.Nature communications · 2026Article
- A Robustness-Oriented Quantum-Classical Hybrid Machine Learning Pipeline for Breast Cancer Diagnosis: External Validation, Explainability, and Rigorous Benchmarking in the NISQ Era.Diagnostics (Basel, Switzerland) · 2026Article
- Demonstration of efficient predictive surrogates for large-scale quantum processors.Nature communications · 2026Article
- Parameterized quantum random number generators for superconducting quantum hardware: novel architectures and NIST SP 800-22 evaluation under IBM noisy simulators.Scientific reports · 2026Article
- Training-Free Quantum Architecture Search Under Realistic Noise via Expressibility-Guided Evolution.Entropy (Basel, Switzerland) · 2026Article
- Superior resilience to poisoning and amenability to unlearning in quantum machine learning.Nature communications · 2026Article
- Noise-induced shallow circuits and the absence of barren plateaus.Nature physics · 2026Article
- PsiAudit: An open-source toolkit for auditing symmetry-organised complexity in equivariant quantum neural networks.PloS one · 2026Article
- Quantum-enhanced generative artificial intelligence: a critical review of classical limitations, complexity barriers, and hybrid quantum-classical architectures.Frontiers in artificial intelligence · 2026Review
- Beyond real: alternative unitary cluster Jastrow models for molecular electronic structure calculations on near-term quantum computers.Chemical science · 2025Article
- Artificial intelligence for quantum computing.Nature communications · 2025Review
- Article
- Generating three-dimensional genome structures with a variational quantum algorithm.Briefings in bioinformatics · 2025Article
- Mutual information maximizing quantum generative adversarial networks.Scientific reports · 2025Article
- Surrogate optimization of variational quantum circuits.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Benchmarking a heuristic Floquet adiabatic algorithm for the Max-Cut problem.Scientific reports · 2025Article
- Does provable absence of barren plateaus imply classical simulability?Nature communications · 2025Review
- Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm.Scientific reports · 2025Article
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Authors and funding
7 authors.
Funding
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Abstract
Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations on VQA performance. We rigorously prove a serious limitation for noisy VQAs, in that the noise causes the training landscape to have a barren plateau (i.e., vanishing gradient). Specifically, for the local Pauli noise considered, we prove that the gradient vanishes exponentially in the number of qubits n if the depth of the ansatz grows linearly with n. These noise-induced barren plateaus (NIBPs) are conceptually different from noise-free barren plateaus, which are linked to random parameter initialization. Our result is formulated for a generic ansatz that includes as special cases the Quantum Alternating Operator Ansatz and the Unitary Coupled Cluster Ansatz, among others. For the former, our numerical heuristics demonstrate the NIBP phenomenon for a realistic hardware noise model.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.