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Adiabatic quantum state generation and statistical zero knowledge

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Variational Approach for Uniform Quantum Permutation Generators

quant-ph · 2026-06-08 · unverdicted · novelty 7.0

Explicit controlled-SWAP variational circuits generate exact uniform permutation distributions on linear nearest-neighbor topologies in O(n) depth, while Beneš-like architectures cannot produce uniform distributions for any parameter choice.

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