TY - JOUR
T1 - Entanglement polygon inequality in qubit systems
AU - Qian, Xiao Feng
AU - Alonso, Miguel A.
AU - Eberly, J. H.
N1 - Publisher Copyright:
© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.
PY - 2018/6
Y1 - 2018/6
N2 - We prove a set of tight entanglement inequalities for arbitrary N-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper bound for each marginal entanglement, while the known monogamy relation establishes the lower bound. The restrictions and sharing properties associated with the inequalities are further analyzed with a geometric polytope approach, and examples of three-qubit GHZ-class and W-class entangled states are presented to illustrate the results.
AB - We prove a set of tight entanglement inequalities for arbitrary N-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper bound for each marginal entanglement, while the known monogamy relation establishes the lower bound. The restrictions and sharing properties associated with the inequalities are further analyzed with a geometric polytope approach, and examples of three-qubit GHZ-class and W-class entangled states are presented to illustrate the results.
KW - entanglement restriction
KW - entanglement sharing
KW - multiparty entanglement
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U2 - 10.1088/1367-2630/aac3be
DO - 10.1088/1367-2630/aac3be
M3 - Article
AN - SCOPUS:85049576849
SN - 1367-2630
VL - 20
JO - New Journal of Physics
JF - New Journal of Physics
IS - 6
M1 - 063012
ER -