Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.
Showcasing a barren plateau theory beyond the dynamical lie algebra
11 Pith papers cite this work. Polarity classification is still indexing.
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Analytical expression for dynamical Lie algebra of QAOA-MaxCut on complete graphs with proof that loss variance scales linearly in qubit number.
A first-moment operator diagnostic reveals exponentially many inequivalent initialization distributions avoid barren plateaus in variational quantum algorithms, with numerics indicating distinct attained minima.
Structural f-divergence yields tight trade-off inequalities bounding gradient magnitudes and cost moments in parameterized quantum circuits, with equality for a minimal one-qubit ansatz.
Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
Hybrid quantum walks with optimal-control-derived dynamical coins generate larger Jordan-Lie algebras than QAOA and show faster convergence and higher accuracy on Max-Cut and MIS instances.
A necessary condition for variational quantum circuits to reach exact ground states requires matching module projection norms between input and solution, enabling classical O(n^5) exact solvers for problems like MaxCut.
Random states from symplectic and orthogonal unitaries show exponentially large strong state complexity and near-orthogonality, with average-case hardness for learning circuits from these groups.
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.
Unifies fixed-ansatz and adaptive VQE via ansatz-free product-unitary formulation on the unitary group and derives convergence rates, initialization guarantees, and noise-robust measurement strategies for Riemannian gradient descent.
A literature review of VQAs covering ansatz design, classical optimization, barren plateaus, error mitigation strategies, and theoretical adaptations for fault-tolerant quantum computing.
citing papers explorer
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Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems
Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.
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The Dynamical Lie Algebra of QAOA-MaxCut on the Complete Graph
Analytical expression for dynamical Lie algebra of QAOA-MaxCut on complete graphs with proof that loss variance scales linearly in qubit number.
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Exponentially many initializations to avoid barren plateaus
A first-moment operator diagnostic reveals exponentially many inequivalent initialization distributions avoid barren plateaus in variational quantum algorithms, with numerics indicating distinct attained minima.
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Structural $f$-divergence: Tight universal bounds for cost function moments and gradients in parameterized quantum circuits
Structural f-divergence yields tight trade-off inequalities bounding gradient magnitudes and cost moments in parameterized quantum circuits, with equality for a minimal one-qubit ansatz.
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From Pauli Strings to Quantum Dynamics: A Unified Characterization
Develops an invariant-based framework connecting Pauli Lie algebras to transvection-generated Clifford subgroups for quantum reachability and dynamics analysis.
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Beyond Single Trajectories: Optimal Control and Jordan-Lie Algebra in Hybrid Quantum Walks for Combinatorial Optimization
Hybrid quantum walks with optimal-control-derived dynamical coins generate larger Jordan-Lie algebras than QAOA and show faster convergence and higher accuracy on Max-Cut and MIS instances.
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Reachability Constraints in Variational Quantum Circuits: Optimization within Polynomial Group Module
A necessary condition for variational quantum circuits to reach exact ground states requires matching module projection norms between input and solution, enabling classical O(n^5) exact solvers for problems like MaxCut.
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On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups
Random states from symplectic and orthogonal unitaries show exponentially large strong state complexity and near-orthogonality, with average-case hardness for learning circuits from these groups.
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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.
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Geometric Analysis of Variational Quantum Eigensolver
Unifies fixed-ansatz and adaptive VQE via ansatz-free product-unitary formulation on the unitary group and derives convergence rates, initialization guarantees, and noise-robust measurement strategies for Riemannian gradient descent.
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A Review of Variational Quantum Algorithms: Insights into Fault-Tolerant Quantum Computing
A literature review of VQAs covering ansatz design, classical optimization, barren plateaus, error mitigation strategies, and theoretical adaptations for fault-tolerant quantum computing.