Quantum states with strong positive partial transpose
Dariusz Chruściński, Jacek Jurkowski, Andrzej Kossakowski · Physical Review A · 2008
We construct a large class of bipartite $M\ensuremath{\bigotimes}N$ quantum states which defines a proper subset of states with positive partial transposes (PPTs). Any state from this class has PPT but the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator. We propose to call elements from this class states with strong positive partial transposes (SPPTs). We conjecture that all SPPT states are separable.