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Yu Yang--On Positive Partial Transpose Squared Conjecture
发布人:尹智  发布时间:2018-06-29   浏览次数:10




Title: On Positive Partial Transpose Squared Conjecture


Speaker: Yu Yang (杨宇),Chongqing Technology and Business University


Abstract: Linear maps that are both completely positive and completely copositive are often called PPT binding maps. Here PPT stands for “pos- itive partial transposition” since the Choi matrix of such a map is positive under partial transpose. The PPT squared conjecture asks whether the composition φ◦ φof two PPT maps φand φis entanglement break- ing where φ1, φ∈ Mn(C⊗ Mn(C). We shall talk about our proof of PPT squared conjecture in the case n=3. Another proof is claimed by Alexzander Muller Hermes from University of Copenhagen independently. The validity of PPT squared conjecture in the case n=4 is widely believed to fail but no counterexample is given so far.


Time: 2018.07.13, 16:30--17:30,  Place: 522 Gewu Building