Quantum [Un]Speakables II

Part of the series The Frontiers Collection pp 365-380


Few-Body Entanglement Manipulation

  • C. SpeeAffiliated withInstitute for Theoretical Physics, University of Innsbruck
  • , J. I. de VicenteAffiliated withDepartamento de Matemáticas, Universidad Carlos III de Madrid
  • , B. KrausAffiliated withInstitute for Theoretical Physics, University of Innsbruck Email author 

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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 [1] 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.