Implementing Finite Impulse Response Filters on Quantum Computers
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916649273131008 |
|---|---|
| author | Majumdar, Aishwarya Bakalov, Bojko N. Baron, Dror Liu, Yuan |
| author_facet | Majumdar, Aishwarya Bakalov, Bojko N. Baron, Dror Liu, Yuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10166 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Implementing Finite Impulse Response Filters on Quantum Computers Majumdar, Aishwarya Bakalov, Bojko N. Baron, Dror Liu, Yuan Signal Processing Information Theory Quantum Physics 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. |
| title | Implementing Finite Impulse Response Filters on Quantum Computers |
| topic | Signal Processing Information Theory Quantum Physics |
| url | https://arxiv.org/abs/2501.10166 |