FIELD | Math:Analysis |
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DATE | March 29 (Fri), 2019 |

TIME | 16:00-17:30 |

PLACE | 1423 |

SPEAKER | Young-Hoon Kiem |

HOST | Kang, Nam-Gyu |

INSTITUTE | Seoul National University |

TITLE | Entangled edge states of corank one with positive partial transposes |

ABSTRACT | In the current quantum information and computation theory, the notion of entanglement is considered as one of the most important resources. Nevertheless, distinguishing entanglement from separability is very difficult, and known to be NP hard in general. Among various separability criteria, the PPT criterion is very simple to test but powerful: The partial transpose of a separable state must be positive (semi-de?nite). Of particular interest are some extremal PPT states, called entangled edge states, because all PPT states are convex sums of separable states and edge states. (There is a numerical constraint for coranks of edge states in terms of integral zeros of the Krawtchouk polynomial, as explained by Prof. Jaeseong Heo in his seminar at KIAS last year.) |

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