| Paper Abstract and Keywords |
| Presentation |
2023-12-17 17:30
[Poster Presentation]
Optimal POVM with minimal size in two-parameter qubit-state estimation
Jianchao Zhang, Jun Suzuki (UEC) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In the realm of qubit state tomography, the accurate estimation of quantum states parameterized across the complete Bloch sphere holds great significance. A pivotal aspect in this pursuit lies in the designing of estimators.
The choice of an estimator crucially involves the minimization of mean squared error, often achieved by minimizing the weighted trace of the inverse of the Fisher information matrix.
To assess optimality, a key benchmark is established by comparing the optimal value against the Nagaoka bound. Distinguished with the Holevo bound, the Nagaoka bound is particularly well-suited for finite collective measurements.
In this presentation, we are focusing on the two-parameter problem, specifically the subspace of the three-dimensional representation of the Stokes parameter. While prior work has presented optimal measurements within a randomized measurement, it is noted that the size of these measurements is not minimal. This presentation seeks to address this gap by providing the analytical form of the optimal measurement with minimal size. Furthermore, the proof of necessary and sufficient conditions for optimality is established.
Remarkably, the optimal measurement exhibits a symmetric structure and involves specific free variables, thereby offering insights into the structure of all optimal measurements. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Quantum parameter estimation / optimal measurement / qubit state tomography, / / / / / |
| Reference Info. |
IEICE Tech. Rep. |
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| Conference Information |
| Committee |
QIT |
| Conference Date |
2023-12-17 - 2023-12-19 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
OIST |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Quantum Information |
| Paper Information |
| Registration To |
QIT |
| Conference Code |
2023-12-QIT |
| Language |
English |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Optimal POVM with minimal size in two-parameter qubit-state estimation |
| Sub Title (in English) |
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| Keyword(1) |
Quantum parameter estimation |
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optimal measurement |
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qubit state tomography, |
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| 1st Author's Name |
Jianchao Zhang |
| 1st Author's Affiliation |
The University of Electro-Communications (UEC) |
| 2nd Author's Name |
Jun Suzuki |
| 2nd Author's Affiliation |
The University of Electro-Communications (UEC) |
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| Speaker |
Author-1 |
| Date Time |
2023-12-17 17:30:00 |
| Presentation Time |
120 minutes |
| Registration for |
QIT |
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