Low Rank Approximation of Entangled Bipartite Systems
林敏雄教授 - 成功大學數學系
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2021-12-13 12:10:00 ~
2021-12-13 13:10:00See event details for additional info.
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理學教學大樓物理系1F 36169會議室
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Low Rank Approximation of Entangled Bipartite Systems
林敏雄教授 - 成功大學數學系
| 日期 | 2021-12-13 |
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| 時間 | 12:10-13:10 |
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| 地點 | 理學教學新大樓物理系1F 36169會議室 |
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| 領域 | Quantum Information Science |
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| 講者 | Prof. Matthew M. Lin(林敏雄) - 成功大學數學系 |
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| 題目 | Low Rank Approximation of Entangled Bipartite Systems |
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| 摘要 | Gauging the distance between a mixed state and its nearest separable state is important but challenging in the quantum mechanical system. We, in this talk, propose a dynamical system approach to tackle low rank approximation of entangled bipartite systems, which has several advantages, including 1) A gradient dynamics in the complex space can be described in a fairly concise way; 2) The global convergence from any starting point to a local solution is guaranteed; 3) The requirement that the combination coefficients of pure states must be a probability distribution can be ensured; 4) The rank can be dynamically adjusted. The theory, algorithms, and some numerical experiments will be presented in this talk. References [1] M. T. Chu and M. M. Lin, A Complex-Valued Gradient Flow for the Entangled Bipartite Low Rank Approximation, Computer Physics Communications, accepted 2021. |
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