Quantum Channel Marginal Problem
Mr. Chung-Yun Hsieh - The Institute of Photonic Sciences(ICFO), Spain
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2021-03-15 12:10:00 ~
2021-03-15 13:10:00See event details for additional info.
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R36169, 1F, Dept. of Physics, Building of Science College, NCKU
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Quantum Channel Marginal Problem
Mr. Chung-Yun Hsieh - The Institute of Photonic Sciences(ICFO), Spain
| DATE | 2021-03-15 |
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| TIME | 12:10-13:30 |
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| PLACE | R36169, 1F, Dept. of Physics, Building of Science College, NCKU |
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| FIELD | Quantum Information Science |
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| SPEAKER | Mr. Chung-Yun Hsieh(謝忠耘) - The Institute of Photonic Sciences(ICFO), Spain |
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| TITLE | Quantum Channel Marginal Problem |
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| ABSTRACT | Given a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems, which can be understood as a dynamical generalization of the marginal problems for quantum states. After defining the notion of compatibility between global and local dynamics, we provide a necessary and sufficient condition for it, showing that it takes the form of a semidefinite program. Using this formulation, we construct channel incompatibility witnesses and show that a set of local channels are incompatible if and only if they demonstrate an advantage in a state-discrimination task. Link: https://arxiv.org/abs/2102.10926 |