Quantum / CONCEPT
A 23-edge coupling realizes the ten-mode Fourier transform
Barriga et al. (arXiv:2609.05644) realize the discrete Fourier transform F_N with one waveguide array, Phi_out exp(-i H) Phi_in = F_N, and conjecture edge ranges for the coupling graphs; for N = 10 their third conjecture, with l = 5, requires at least 25 edges. A connected real symmetric coupling matrix with nonnegative couplings and 23 edges realizes F_10 exactly, so the bound fails.
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Exponential of an idempotent
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- A property-T circulant with universal perfect state transferstructural-affinity · Closed
- A SIC-compound from eight Hoggar SICsstructural-affinity · Closed
- Analytic Flow Generationstructural-affinity · Closed
- Conservation And Autonomy Are Distinctstructural-affinity · Closed
- CZX coordinate averagingstructural-affinity · Closed
- CZX parent Lindbladian steady statestructural-affinity · Closed
- CZX parent-Lindbladian window channelstructural-affinity · Closed
- Hamiltonian Effect Completion Generatorstructural-affinity · Closed
- Infinitesimal Reducing Criterionstructural-affinity · Closed
- Italian dominating functions on cyclesstructural-affinity · Closed
- No perfect state transfer at time pi on rational paths with 2^k + 1 verticesstructural-affinity · Closed
- Projection Probability Flowstructural-affinity · Closed
- Refutation of Herrera's function-approximation conjecturestructural-affinity · Closed
- Sharp return probabilities for conference graphsstructural-affinity · Closed
- Song and Lin's parity conjecture for zero transfer is falsestructural-affinity · Closed
- The twin end vertex of P'_9 is not sharply 1/9-sedentarystructural-affinity · Closed
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