Construction of the Complete Set of Maximally Entangled Basis Vectors for N-Qubit Systems
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917047387029504 |
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| author | Hwang, Chi-Chuan |
| author_facet | Hwang, Chi-Chuan |
| contents | In this study, we first use a three-qubit system as an example to demonstrate the construction of quantum circuits for the eight maximally entangled basis vectors, subsequently extending the approach to N-qubit systems. We employ a random-number approach to generate maximally entangled basis vectors and their corresponding circuits, while also detailing the required number of single-qubit and CNOT gates. This approach not only provides a solid theoretical foundation but also establishes a practical technique for technological applications, bypassing the difficulty of storing large-scale encoding data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02685 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Construction of the Complete Set of Maximally Entangled Basis Vectors for N-Qubit Systems Hwang, Chi-Chuan Quantum Physics Applied Physics In this study, we first use a three-qubit system as an example to demonstrate the construction of quantum circuits for the eight maximally entangled basis vectors, subsequently extending the approach to N-qubit systems. We employ a random-number approach to generate maximally entangled basis vectors and their corresponding circuits, while also detailing the required number of single-qubit and CNOT gates. This approach not only provides a solid theoretical foundation but also establishes a practical technique for technological applications, bypassing the difficulty of storing large-scale encoding data. |
| title | Construction of the Complete Set of Maximally Entangled Basis Vectors for N-Qubit Systems |
| topic | Quantum Physics Applied Physics |
| url | https://arxiv.org/abs/2510.02685 |