Interconvertibility and irreducibility of permutation symmetric three qubit pure states

Details Interconvertibility and irreducibility of permutation symmetric three qubit pure states Interconvertibility and irreducibility of permutation symmetric three qubit pure states

2010-02-15

arxiv.org/abs/1002.2820v1

Physics

Quantum Physics

4 pages, no figures

Scientific paper

A novel use of Majorana geometric representation brings out distinct entanglement families of permutation symmetric states of qubits. The paradigmatic W and GHZ (Greenberger-Horne-Zeilinger) states of three qubits respectively contain two and three independent Majorana spinors. Another unique state with three distinct Majorana spinors -- constructed through a permutation symmetric superposition of two up qubits and one down qubit (W state) and its obverse state Wbar) exhibits genuine three-party entanglement, which is robust under loss of a qubit. While the GHZ state has irreducible correlations and cannot be determined from its parts, we show here that the correlation information of the W-superposition state is imprinted uniquely in its two party reduced states. This striking example sheds light on the contrasting irreducibility features of interconvertible states.

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