论文标题
最大纠结状态
Planar Maximally Entangled States
论文作者
论文摘要
我们建造了一个最大的平面（PME）状态的大家族，这些国家比绝对最大的纠缠（AME）状态更广泛。这些是任何一半的Qudits处于最大混合状态的状态，只要它们形成一个连接的子集。我们表明，与AME相比，PME更容易找到，并且对于任何偶数数数的PME都有各种PME。特别是，虽然众所周知，没有四个量子位的AME状态，但我们表明有两个不同的多参数类别为四个Qubit PME。我们还为任何偶数粒子和任何维度提供明确的PME家族。
We construct a large family of Planar Maximally Entangled (PME) states which are a wider class of multi-partite entangled states than Absolutely Maximally Entangled (AME) states. These are states in which any half of the qudits are in a maximally mixed state, provided that they form a connected subset. We show that in contrast to AMEs, PMEs are easier to find and there are various PMEs for any even number of qudits. In particular, while it is known that no AME state of four qubits exists, we show that there are two distinct multi-parameter classes of four qubit PMEs. We also give explicit families of PMEs for any even number of particles and for any dimension.
