Few-body entanglement manipulation

Abstract

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the maximally entangled set of n-partite quantum states. This set consists of the states that are most useful under conversion of pure states via Local Operations assisted by Classical Communication (LOCC). We will review our results here on the maximally entangled set of three- and generic four-qubit states. Moreover, we will discuss the preparation of arbitrary (pure or mixed) states via deterministic LOCC transformations. In particular, we will consider the deterministic preparation of arbitrary three-qubit (four-qubit) states via LOCC using as a resource a six-qubit (23-qubit) state respectively.

10 pages, 2 figures, minor changes

References in corpus (6)

• Maximally multipartite entangled states
• All Maximally Entangled Four Qubits States
• Necessary and sufficient conditions for local manipulation of multipartite pure quantum states
• Nonlocal Entanglement Transformations Achievable by Separable Operations
• Multi-particle entanglement manipulation under positive partial transpose preserving operations
• The maximally entangled set of 4-qubit states