双中心黑洞、量子比特和椭圆曲线
Two-Center Black Holes, Qubits and Elliptic Curves
摘要：
我们将N=2，d=4的stu，st^2和t^3模型中表征两中心极值黑洞解的U-对偶不变量与用于表征四量子比特系统纠缠类的基本不变量联系起来。对于t^3模型中D 0 D4-D2 D 6复合物的基本例子，我们说明了这些纠缠不变量与双中心解的一些物理性质的关系。接下来，我们表明，它是可能的椭圆曲线的两个中心的复合材料的电荷配置。超立方体的超行列式是一个24阶的四量子位多项式不变量，有2894276项，具有椭圆曲线的j不变量。我们提出了一些证据，这个数量和它的简单的推广应该发挥重要作用的物理两个中心的解决方案。
英文摘要：
We relate the U-duality invariants characterizing two-center extremal black hole solutions in the stu, st^2 and t^3 models of N=2, d=4 supergravity to the basic invariants used to characterize entanglement classes of four-qubit systems. For the elementary example of a D0D4-D2D6 composite in the t^3 model we illustrate how these entanglement invariants are related to some of the physical properties of the two-center solution. Next we show that it is possible to associate elliptic curves to charge configurations of two-center composites. The hyperdeterminant of the hypercube, a four-qubit polynomial invariant of order 24 with 2894276 terms, is featuring the j invariant of the elliptic curve. We present some evidence that this quantity and its straightforward generalization should play an important role in the physics of two-center solutions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
