Bound entanglement provides convertibility of pure entangled states

Abstract

I show that two distant parties can transform pure entangled states to arbitrary pure states by stochastic local operations and classical communication (SLOCC) at the single copy level, if they share bound entangled states. This is the effect of bound entanglement since this entanglement processing is impossible by SLOCC alone. Similar effect of bound entanglement occurs in three qubits where two incomparable entangled states of GHZ and W can be inter-converted. In general multipartite settings composed by $N$ distant parties, all $N$-partite pure entangled states are inter-convertible by SLOCC with the assistance of bound entangled states with positive partial transpose.

6 pages, 2 figure. Results for multipartite settings were added

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Cited by in corpus (35)

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• Four Locally Indistinguishable Ququad-Ququad Orthogonal Maximally Entangled States
• Emergence of typical entanglement in two-party random processes
• Distinguishability of Quantum States by Positive Operator-Valued Measures with Positive Partial Transpose
• Class of PPT bound entangled states associated to almost any set of pure entangled states
• Bipartite depolarizing channels
• Local copying and local discrimination as a study for non-locality of a set
• High-Dimensional Entanglement in States with Positive Partial Transposition
• Family of bound entangled states on the boundary of Peres set
• Multi-particle entanglement manipulation under positive partial transpose preserving operations
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• Entanglement Theory and the Quantum Simulation of Many-Body Physics
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• Any multipartite entangled state violating Mermin-Klyshko inequality can be distilled for almost all bipartite splits
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