Optimal fidelity estimation for density matrix
Abstract Fidelity estimation is a necessary tool for evaluating noise in quantum measurement and quantum computation. The traditional fidelity estimation is to calculate the distance between two density matrices by employing direct fidelity estimation, which consumes too much copies of state. To red...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-82168-2 |
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| _version_ | 1846137134545633280 |
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| author | Yiping Lu Liyu Lai Jun Xiang Yuhan Dai Ying Zeng Qi Li |
| author_facet | Yiping Lu Liyu Lai Jun Xiang Yuhan Dai Ying Zeng Qi Li |
| author_sort | Yiping Lu |
| collection | DOAJ |
| description | Abstract Fidelity estimation is a necessary tool for evaluating noise in quantum measurement and quantum computation. The traditional fidelity estimation is to calculate the distance between two density matrices by employing direct fidelity estimation, which consumes too much copies of state. To reduce the number of copies of the state, we develop optimal fidelity estimation by proposing an optimal model. It calculates the minimum number of copies of state given a fixed value for the fidelity deviation. The result shows it saves a large number of copies of state compared with traditional approach (Direct Fidelity estimation) that is developed several years ago.The number of copies of the state employed increases slower than linear increase with increase of the dimension of density matrix when pauli measurement basis is applied. In addition, it consumes roughly a constant number of copies of the state with the increase of dimension of density matrix when the measurement bases are freely chosen. |
| format | Article |
| id | doaj-art-6dbc0684a2e244b3a027d02bc993f1f0 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-6dbc0684a2e244b3a027d02bc993f1f02024-12-08T12:28:09ZengNature PortfolioScientific Reports2045-23222024-12-0114111010.1038/s41598-024-82168-2Optimal fidelity estimation for density matrixYiping Lu0Liyu Lai1Jun Xiang2Yuhan Dai3Ying Zeng4Qi Li5Institute of Optoelectronic Technology, China Jiliang UniversityInstitute of Optoelectronic Technology, China Jiliang UniversityInstitute of Optoelectronic Technology, China Jiliang UniversityInstitute of Optoelectronic Technology, China Jiliang UniversityInstitute of Optoelectronic Technology, China Jiliang UniversityInstitute of Optoelectronic Technology, China Jiliang UniversityAbstract Fidelity estimation is a necessary tool for evaluating noise in quantum measurement and quantum computation. The traditional fidelity estimation is to calculate the distance between two density matrices by employing direct fidelity estimation, which consumes too much copies of state. To reduce the number of copies of the state, we develop optimal fidelity estimation by proposing an optimal model. It calculates the minimum number of copies of state given a fixed value for the fidelity deviation. The result shows it saves a large number of copies of state compared with traditional approach (Direct Fidelity estimation) that is developed several years ago.The number of copies of the state employed increases slower than linear increase with increase of the dimension of density matrix when pauli measurement basis is applied. In addition, it consumes roughly a constant number of copies of the state with the increase of dimension of density matrix when the measurement bases are freely chosen.https://doi.org/10.1038/s41598-024-82168-2 |
| spellingShingle | Yiping Lu Liyu Lai Jun Xiang Yuhan Dai Ying Zeng Qi Li Optimal fidelity estimation for density matrix Scientific Reports |
| title | Optimal fidelity estimation for density matrix |
| title_full | Optimal fidelity estimation for density matrix |
| title_fullStr | Optimal fidelity estimation for density matrix |
| title_full_unstemmed | Optimal fidelity estimation for density matrix |
| title_short | Optimal fidelity estimation for density matrix |
| title_sort | optimal fidelity estimation for density matrix |
| url | https://doi.org/10.1038/s41598-024-82168-2 |
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