Sequential Quantum Maximum Confidence Discrimination
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929600164003840 |
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| author | Lee, Hanwool Flatt, Kieran Bae, Joonwoo |
| author_facet | Lee, Hanwool Flatt, Kieran Bae, Joonwoo |
| contents | Sequential quantum information processing may lie in the peaceful coexistence of no-go theorems on quantum operations, such as the no-cloning theorem, the monogamy of correlations, and the no-signalling principle. In this work, we investigate a sequential scenario of quantum state discrimination with maximum confidence, called maximum-confidence discrimination, which generalizes other strategies including minimum-error and unambiguous state discrimination. We show that sequential state discrimination with equally high confidence can be realized only when positive-operator-valued measure elements for a maximum-confidence measurement are linearly independent; otherwise, a party will have strictly less confidence in measurement outcomes than the previous one. We establish a tradeoff between the disturbance of states and information gain in sequential state discrimination, namely, that the less a party learn in state discrimination in terms of a guessing probability, the more parties can participate in the sequential scenario. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12550 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sequential Quantum Maximum Confidence Discrimination Lee, Hanwool Flatt, Kieran Bae, Joonwoo Quantum Physics Sequential quantum information processing may lie in the peaceful coexistence of no-go theorems on quantum operations, such as the no-cloning theorem, the monogamy of correlations, and the no-signalling principle. In this work, we investigate a sequential scenario of quantum state discrimination with maximum confidence, called maximum-confidence discrimination, which generalizes other strategies including minimum-error and unambiguous state discrimination. We show that sequential state discrimination with equally high confidence can be realized only when positive-operator-valued measure elements for a maximum-confidence measurement are linearly independent; otherwise, a party will have strictly less confidence in measurement outcomes than the previous one. We establish a tradeoff between the disturbance of states and information gain in sequential state discrimination, namely, that the less a party learn in state discrimination in terms of a guessing probability, the more parties can participate in the sequential scenario. |
| title | Sequential Quantum Maximum Confidence Discrimination |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.12550 |