»ã±¨±êÌâ (Title)£ºQuantum information theory and preserver problems £¨Á¿×ÓѶϢÂÛÓëά³ÖÎÊÌ⣩

»ã±¨ÈË (Speaker)£º »ÆÒãÇà ½ÌÊÚ£¨Ì¨ÍåÖÐɽ´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ10ÈÕ(Öܶþ) 14:00-17:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309»áÒéÊÒ

Ô¼ÇëÈË(Inviter)£ºÍõÇäÎÄ ½ÌÊÚ

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»ã±¨ÌáÒª£ºAs a mathematician, I will present my works on the quantum information theory via an operator algebra approach.

The story starts with the Wigner theorem on transition probability. My study on several preserver problems of function, matrix and operator algebras follow. A typical problem states that how one designs a quantum channel to send a particular group of quantum data to another group of quantum data. Here, quantum data refers to positive density matrices/operators and quantum channels refer to completely positive maps. The talk will end by a briefing of my recent works on divergence preserver problem.