论文标题
结，链接和远程魔术
Knots, links, and long-range magic
论文作者
论文摘要
我们研究结的程度（即，在结的3D Chern-simons理论中，在结和链接补充上制备的状态）可以由稳定器状态描述或无法描述。不是稳定态经典混合物的状态被称为“魔法状态”，并且在量子资源理论中起着关键作用。通过实施一种称为“法力”的特定魔术单调，我们量化了结和链路状态的魔力。特别是，对于$ su（2）_k $ chern-simons理论，我们表明结和链接状态通常是神奇的。对于链接状态，我们进一步研究了与各个界限的单独边界之间相关性相关的法力，这些界限是该州远程魔术的特征。我们的数值结果表明，大多数链接状态的魔力完全是长期的。我们使这些陈述更加清晰。
We study the extent to which knot and link states (that is, states in 3d Chern-Simons theory prepared by path integration on knot and link complements) can or cannot be described by stabilizer states. States which are not classical mixtures of stabilizer states are known as "magic states" and play a key role in quantum resource theory. By implementing a particular magic monotone known as the "mana" we quantify the magic of knot and link states. In particular, for $SU(2)_k$ Chern-Simons theory we show that knot and link states are generically magical. For link states, we further investigate the mana associated to correlations between separate boundaries which characterizes the state's long-range magic. Our numerical results suggest that the magic of a majority of link states is entirely long-range. We make these statements sharper for torus links.
