置换对称三量子比特纯态的可互换性和不可约性
Interconvertibility and irreducibility of permutation symmetric three qubit pure states
摘要：
一种新颖的使用马约拉纳几何表示带来了不同的纠缠家庭的置换对称态的量子比特。三个量子比特的W和GHZ（Greenberger-Horne-Zeilinger）范式态分别包含两个和三个独立的Majorana旋量。另一种具有三个不同的马约拉纳旋量的独特状态-通过两个向上量子比特和一个向下量子比特（W状态）及其正面状态Wbar）的置换对称叠加构建，表现出真正的三方纠缠，这在量子比特丢失的情况下是鲁棒的。虽然GHZ态具有不可约的相关性，并且不能从其部分确定，但我们在这里证明了W叠加态的相关信息唯一地印在其两方约化态中。这个突出的例子揭示了相互转化状态的对比性不可还原特征。
英文摘要：
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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