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Qubit-qudit states with positive partial transpose
Lin Chen, Dragomir Z. Djokovic
We show that the length of a qubit-qutrit separable state is equal to the max(r,s), where r is the rank of the state and s is the rank of its partial transpose. We refer to the ord…
Dimensions, lengths and separability in finite-dimensional quantum systems
Lin Chen, Dragomir Z. Djokovic
Many important sets of normalized states in a multipartite quantum system of finite dimension d, such as the set S of all separable states, are real semialgebraic sets. We compute…
Equivalence classes and canonical forms for two-qutrit entangled states of rank four having positive partial transpose
Lin Chen, Dragomir Z. Djokovic
Let E' denote the set of non-normalized two-qutrit entangled states of rank four having positive partial transpose (PPT). We show that the set of SLOCC equivalence classes of state…
Properties and construction of extreme bipartite states having positive partial transpose
Lin Chen, Dragomir Z. Djokovic
We consider a bipartite quantum system H_A x H_B with M=dim H_A and N=dim H_B. We study the set E of extreme points of the compact convex set of all states having positive partial…