Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study
Quantum coherence is the most distinguished feature of quantum mechanics. As an important resource, it is widely applied to quantum information technologies, including quantum algorithms, quantum computation, quantum key distribution, and quantum metrology, so it is important to develop tools for ef...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-10-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/10/1459 |
| _version_ | 1797573919556763648 |
|---|---|
| author | Yuan Yuan Xufeng Huang Yueping Niu Shangqing Gong |
| author_facet | Yuan Yuan Xufeng Huang Yueping Niu Shangqing Gong |
| author_sort | Yuan Yuan |
| collection | DOAJ |
| description | Quantum coherence is the most distinguished feature of quantum mechanics. As an important resource, it is widely applied to quantum information technologies, including quantum algorithms, quantum computation, quantum key distribution, and quantum metrology, so it is important to develop tools for efficient estimation of the coherence. Bell state measurement plays an important role in quantum information processing. In particular, it can also, as a two-copy collective measurement, directly measure the quantum coherence of an unknown quantum state in the experiment, and does not need any optimization procedures, feedback, or complex mathematical calculations. In this paper, we analyze the performance of estimating quantum coherence with Bell state measurement for a qubit case from the perspective of semiparametric estimation and single-parameter estimation. The numerical results show that Bell state measurement is the optimal measurement for estimating several frequently-used coherence quantifiers, and it has been demonstrated in the perspective of the quantum limit of semiparametric estimation and Fisher information. |
| first_indexed | 2024-03-10T21:16:49Z |
| format | Article |
| id | doaj.art-9d9aee7be7844e1f99c8a18f517553f3 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T21:16:49Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9d9aee7be7844e1f99c8a18f517553f32023-11-19T16:25:13ZengMDPI AGEntropy1099-43002023-10-012510145910.3390/e25101459Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case StudyYuan Yuan0Xufeng Huang1Yueping Niu2Shangqing Gong3School of Physics, East China University of Science and Technology, Shanghai 200237, ChinaSchool of Physics, East China University of Science and Technology, Shanghai 200237, ChinaSchool of Physics, East China University of Science and Technology, Shanghai 200237, ChinaSchool of Physics, East China University of Science and Technology, Shanghai 200237, ChinaQuantum coherence is the most distinguished feature of quantum mechanics. As an important resource, it is widely applied to quantum information technologies, including quantum algorithms, quantum computation, quantum key distribution, and quantum metrology, so it is important to develop tools for efficient estimation of the coherence. Bell state measurement plays an important role in quantum information processing. In particular, it can also, as a two-copy collective measurement, directly measure the quantum coherence of an unknown quantum state in the experiment, and does not need any optimization procedures, feedback, or complex mathematical calculations. In this paper, we analyze the performance of estimating quantum coherence with Bell state measurement for a qubit case from the perspective of semiparametric estimation and single-parameter estimation. The numerical results show that Bell state measurement is the optimal measurement for estimating several frequently-used coherence quantifiers, and it has been demonstrated in the perspective of the quantum limit of semiparametric estimation and Fisher information.https://www.mdpi.com/1099-4300/25/10/1459quantum coherenceBell state measurementmaximum likelihood estimationquantum measurement |
| spellingShingle | Yuan Yuan Xufeng Huang Yueping Niu Shangqing Gong Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study Entropy quantum coherence Bell state measurement maximum likelihood estimation quantum measurement |
| title | Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study |
| title_full | Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study |
| title_fullStr | Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study |
| title_full_unstemmed | Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study |
| title_short | Optimal Estimation of Quantum Coherence by Bell State Measurement: A Case Study |
| title_sort | optimal estimation of quantum coherence by bell state measurement a case study |
| topic | quantum coherence Bell state measurement maximum likelihood estimation quantum measurement |
| url | https://www.mdpi.com/1099-4300/25/10/1459 |
| work_keys_str_mv | AT yuanyuan optimalestimationofquantumcoherencebybellstatemeasurementacasestudy AT xufenghuang optimalestimationofquantumcoherencebybellstatemeasurementacasestudy AT yuepingniu optimalestimationofquantumcoherencebybellstatemeasurementacasestudy AT shangqinggong optimalestimationofquantumcoherencebybellstatemeasurementacasestudy |