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Quantum Time Lower Bounds by Permutation Invariance

quant-ph · 2026-06-03 · unverdicted · novelty 8.0

A reduction framework from sample complexity yields matching time lower bounds for purity estimation, high-order functionals, productness testing, and related quantum protocols.

Quantum Search without Global Diffusion

quant-ph · 2026-04-16 · unverdicted · novelty 7.0

A recursive construction preserves O(sqrt(N)) quantum search complexity with local operations on tensor-decomposable partitions, eliminating the need for global diffusion via degeneracy in reflection angles.

Coupling-Grouped XY-QAOA for Joint Anomaly-Feature Selection

quant-ph · 2026-06-11 · unverdicted · novelty 6.0

Coupling-Grouped XY-QAOA enables joint anomaly-feature selection via a constraint-preserving grouped-angle QAOA variant, achieving 45.9-61.3% circuit depth reduction and larger feasible executions (64 qubits at p=2) on IBM Heron hardware compared to standard approaches.

Random Grover Search

quant-ph · 2026-06-10 · unverdicted · novelty 6.0

Randomized Grover search using random selection among constraint oracles achieves the same Θ(√(N/r)) query complexity and near-unit success probability as standard Grover without requiring a global oracle.

Polymorphic Bottom-Up Weighted Relational Programming

cs.PL · 2026-05-14 · unverdicted · novelty 6.0

Presents a compilation method that turns polymorphic semiringKanren programs into equivalent non-polymorphic ones via equality patterns and sufficiently large relation instances, together with a correctness proof.

Loop Composition in Quantum Algorithms

quant-ph · 2026-05-08 · unverdicted · novelty 6.0

Adding loop composition to branching quantum walk models produces a variable-time quantum search algorithm whose complexity matches the best known results.

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