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Variational Quantum Algorithms

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arxiv 2012.09265 v2 pith:SHO4UVXS submitted 2020-12-16 quant-ph cs.LGstat.ML

classification quant-phcs.LGstat.ML
keywords quantumcomputersvqasadvantagealgorithmsapplicationschallengescircuit
verification ladder T0 review T1 audit T2 compute T3 formal
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Applications such as simulating complicated quantum systems or solving large-scale linear algebra problems are very challenging for classical computers due to the extremely high computational cost. Quantum computers promise a solution, although fault-tolerant quantum computers will likely not be available in the near future. Current quantum devices have serious constraints, including limited numbers of qubits and noise processes that limit circuit depth. Variational Quantum Algorithms (VQAs), which use a classical optimizer to train a parametrized quantum circuit, have emerged as a leading strategy to address these constraints. VQAs have now been proposed for essentially all applications that researchers have envisioned for quantum computers, and they appear to the best hope for obtaining quantum advantage. Nevertheless, challenges remain including the trainability, accuracy, and efficiency of VQAs. Here we overview the field of VQAs, discuss strategies to overcome their challenges, and highlight the exciting prospects for using them to obtain quantum advantage.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Genuine Multipartite Entanglement between Logical Qubits via Cross-Code Lattice Surgery

    quant-ph 2026-07 accept novelty 7.5 of 10

    Cross-code lattice surgery between surface and 3D colour codes yields certified logical GHZ and |CCZ> GME plus arbitrary logical rotations on a trapped-ion processor.

  2. Dynamical Lie Algebras Cannot Describe Shallow QAOA: Cragged Terrains, Barren Plateaus, and Empirical Hardness Models

    quant-ph 2026-08 conditional novelty 6.0 of 10

    For shallow QAOA on maximum independent set, loss landscape variance increases with system size instead of vanishing, contradicting dynamical Lie algebra predictions.

  3. Exploiting biased noise in variational quantum models

    quant-ph 2025-10 conditional novelty 6.0 of 10

    Twirling amplitude-damping noise into uniform Pauli/depolarising channels reduces expressivity and gradient magnitudes, while preserving the noise bias yields better VQA optimisation in the studied models.

  4. Provably Robust Training of Quantum Circuit Classifiers Against Parameter Noise

    quant-ph 2025-05 conditional novelty 4.0 of 10

    Randomized smoothing of quantum circuit parameters yields certified robustness against gate-angle noise, and evolutionary strategies can train the smoothed classifier to enlarge the certified region.

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