State-Space-Based FIR Filtering on a Quantum Computer

arXiv:2609.20331 · eess.AS, cs.SD, eess.SP, quant-ph · Submitted 2026-09-17 · Read on arXiv

eess.AS, cs.SD, eess.SP, quant-ph

Submitted: 2026-09-17

Updated: 2026-09-17

Code: https://github.com/ollpu/quantum-fir

Terminology

• Quantum Circuits — 7× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Abstraction — 1× in this paper · explained in 1 episode

Sources

• Asymptotically Optimal Quantum Circuits for Comparators and Incrementers

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