The source and accessible entanglement of few-body systems

Abstract

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the source and the accessible entanglement, for arbitrary multipartite states have been introduced. Whereas the source entanglement measures from how many states the state of interest can be obtained via LOCC, the accessible entanglement measures how many states can be reached via LOCC from the state at hand. We consider here pure bipartite as well as multipartite states and derive explicit formulae for the source entanglement. Moreover, we obtain explicit formulae for a whole class of source entanglement measures that characterize the simplicity of generating a given bipartite pure state via LOCC. Furthermore, we show how the accessible entanglement can be computed numerically. For generic four-qubit states we first derive the necessary and sufficient conditions for the existence of LOCC transformations among these states and then derive explicit formulae for their accessible and source entanglement.

22 pages (including appendix), 9 figures, 1 table

References in corpus (5)

• Entanglement versus Correlations in Spin Systems
• Localizable Entanglement
• Operational multipartite entanglement measures
• Necessary and sufficient conditions for local manipulation of multipartite pure quantum states
• Transformations of $W$-Type Entangled States

Cited by in corpus (10)

• Operationally accessible entanglement of one dimensional spinless fermions
• Transformations among Pure Multipartite Entangled States via Local Operations Are Almost Never Possible
• Entangled pure state transformations via local operations assisted by finitely many rounds of classical communication
• Entanglement manipulation of multipartite pure states with finite rounds of classical communication
• The maximally entangled set of 4-qubit states
• The MES of tripartite qutrit states and pure state separable transformations which are not possible via LOCC
• Multipartite correlations in mutually unbiased bases
• Inequivalent Multipartite Coherence Classes and New Coherence Monotones
• Measurement outcomes that do not occur and their role in entanglement transformations
• Multipartite Monogamy of Entanglement for Three Qubit States