The construction of multiqubit unextendible product bases
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917593006211072 |
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| author | Cheng, Caohan Chen, Lin |
| author_facet | Cheng, Caohan Chen, Lin |
| contents | The unextendible orthogonal matrices (UPBs) can be used for various problems in quantum information. We provide an algorithm to check if two UPBs are non-equivalent to each other. We give a method to construct UPBs and we apply this method to find all $5$-qubit UPBs of size eight. We apply the algorithm to check if the $5$-qubit UPBs of size eight are non-equivalent to each other. Based on all the $5$-qubit UPBs of size eight, we propose a theorem for constructing a new UPB non-equivalent to a given one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The construction of multiqubit unextendible product bases Cheng, Caohan Chen, Lin Quantum Physics The unextendible orthogonal matrices (UPBs) can be used for various problems in quantum information. We provide an algorithm to check if two UPBs are non-equivalent to each other. We give a method to construct UPBs and we apply this method to find all $5$-qubit UPBs of size eight. We apply the algorithm to check if the $5$-qubit UPBs of size eight are non-equivalent to each other. Based on all the $5$-qubit UPBs of size eight, we propose a theorem for constructing a new UPB non-equivalent to a given one. |
| title | The construction of multiqubit unextendible product bases |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.11785 |