论文标题
没有不变的完美Qubit代码
No invariant perfect qubit codes
论文作者
论文摘要
完美的张量描述了高度纠缠的量子状态，这些状态在量子信息理论和量子重力领域引起了特别的关注。在循环量子重力中，出现了自然的问题，即SU（2）不变张量是否是时空基础状态的基本要素也可以是完美的。在这项工作中，我们为这种不变的完美张量（IPT）的布局提供了许多一般约束，并进一步描述了一种系统和建设性的方法来检查给定价的IPT的存在。我们应用算法来表明，价值6的量子编码不可用IPT来描述并缩小差距，以证明无需定理用于不变的perfect perfect Qubit编码。我们还提供了两种替代证明，以证明[1,2]中已显示的4个价值IPT的不存在。
Perfect tensors describe highly entangled quantum states that have attracted particular attention in the fields of quantum information theory and quantum gravity. In loop quantum gravity, the natural question arises whether SU(2) invariant tensors, which are fundamental ingredients of the basis states of spacetime, can also be perfect. In this work, we present a number of general constraints for the layout of such invariant perfect tensors (IPTs) and further describe a systematic and constructive approach to check the existence of an IPT of given valence. We apply our algorithm to show that no qubit encoding of valence 6 can be described by an IPT and close a gap to prove a no-go theorem for invariant perfect qubit encodings. We also provide two alternative proofs for the non-existence of 4-valent qubit IPTs which has been shown in [1,2].
