Analytical expression for dynamical Lie algebra of QAOA-MaxCut on complete graphs with proof that loss variance scales linearly in qubit number.
Lie-algebraic classical simulations for variational quantum computing
5 Pith papers cite this work. Polarity classification is still indexing.
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Derives analytic formulae for curvature, volume forms, and harmonic maps on the induced Riemannian manifold of special unitary operators arising from quantum feature maps applied to data point clouds assumed to form smooth manifolds.
The paper proposes variational decision diagrams (VDDs) for quantum state representation in QML and reports successful training without barren plateaus on transverse-field Ising and Heisenberg Hamiltonians.
QCNNs are classically simulable via Pauli shadows on low-bodyness subspaces of locally-easy datasets, with explicit simulation demonstrated up to 1024 qubits for phases of matter classification.
Quantum simulation methods for Thirring and Gross-Neveu fermionic models with arbitrary flavors, including gate complexity bounds and ground-state preparation up to 20 qubits.
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Quantum Convolutional Neural Networks are Effectively Classically Simulable
QCNNs are classically simulable via Pauli shadows on low-bodyness subspaces of locally-easy datasets, with explicit simulation demonstrated up to 1024 qubits for phases of matter classification.