Separability of qubit-qudit quantum states with strong positive partial transposes

Abstract

We show that all $2\otimes 4$ states with strong positive partial transposes (SPPT) are separable. We also construct a family of $2\otimes 5$ entangled SPPT states, so the conjecture on the separability of SPPT states are completely settled. In addition, we clarify the relation between the set of all $2\otimes d$ separable states and the set of all $2\otimes d$ SPPT states for the case of $d=3,4$.

3 pages

References in corpus (1)

• Quantum states with strong positive partial transpose

Cited by in corpus (4)

• Separability of Completely Symmetric States in Multipartite System
• Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
• Separability of Multipartite Quantum States with Strong Positive Partial Transpose
• A bipartite separable ball and its applications