Implementing Finite Impulse Response Filters on Quantum Computers

• URL: http://arxiv.org/abs/2501.10166v1
• Date: Fri, 17 Jan 2025 12:58:06 GMT
• Title: Implementing Finite Impulse Response Filters on Quantum Computers
• Abstract summary: We propose approaches that perform classical discrete-time signal processing using quantum systems.<n>Our approaches encode the classical discrete-time input signal into quantum states, and design unitaries to realize classical concepts of finite impulse response (FIR) filters.
• Score: 6.93099093499693
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: While signal processing is a mature area, its connections with quantum computing have received less attention. In this work, we propose approaches that perform classical discrete-time signal processing using quantum systems. Our approaches encode the classical discrete-time input signal into quantum states, and design unitaries to realize classical concepts of finite impulse response (FIR) filters. We also develop strategies to cascade lower-order filters to realize higher-order filters through designing appropriate unitary operators. Finally, a few directions for processing quantum states on classical systems after converting them to classical signals are suggested for future work.

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