Verification of Recursively Defined Quantum Circuits
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910687029100544 |
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| author | Ying, Mingsheng Zhang, Zhicheng |
| author_facet | Ying, Mingsheng Zhang, Zhicheng |
| contents | Recursive techniques have recently been introduced into quantum programming so that a variety of large quantum circuits and algorithms can be elegantly and economically programmed. In this paper, we present a proof system for formal verification of the correctness of recursively defined quantum circuits. The soundness and (relative) completeness of the proof system are established. To demonstrating its effectiveness, a series of application examples of the proof system are given, including (multi-qubit) controlled gates, a quantum circuit generating (multi-qubit) GHZ (Greenberger-Horne-Zeilinger) states, recursive definition of quantum Fourier transform, quantum state preparation, and quantum random-access memories (QRAM). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05934 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Verification of Recursively Defined Quantum Circuits Ying, Mingsheng Zhang, Zhicheng Quantum Physics Logic in Computer Science Programming Languages Recursive techniques have recently been introduced into quantum programming so that a variety of large quantum circuits and algorithms can be elegantly and economically programmed. In this paper, we present a proof system for formal verification of the correctness of recursively defined quantum circuits. The soundness and (relative) completeness of the proof system are established. To demonstrating its effectiveness, a series of application examples of the proof system are given, including (multi-qubit) controlled gates, a quantum circuit generating (multi-qubit) GHZ (Greenberger-Horne-Zeilinger) states, recursive definition of quantum Fourier transform, quantum state preparation, and quantum random-access memories (QRAM). |
| title | Verification of Recursively Defined Quantum Circuits |
| topic | Quantum Physics Logic in Computer Science Programming Languages |
| url | https://arxiv.org/abs/2404.05934 |