论文标题
SYK Thermofield Double中的全息测量和量子传送
Holographic measurement and quantum teleportation in the SYK thermofield double
论文作者
论文摘要
根据全息图，纠缠是时空的基础。因此，纠缠的急剧变化将导致双时空中有趣的转变。在本文中，我们研究了投射测量对Sachdev-ye-Kitaev（Syk）模型的热菲尔德双状态的影响，这是双向jackiw-teitelboim（JT）重力的永恒黑洞。我们在一个副本中对Syk模型的两个副本进行了测量时，计算SYK模型的两个副本之间的（Renyi-2）相互信息。我们提出了一个双重JT重力模型，该模型可以解释由于测量值而导致的纠缠变化，并观察到von Neumann熵中的纠缠楔相变。未测量侧的纠缠楔从地平线外部的区域变化，包括随着测得的Majorana fermions数量的增加，两面几何的整个时间逆转不变切片。因此，在过渡后，在SYK模型的一个副本中投影时，存储在测得的子系统中的批量信息并不完全丢失，而是传送到另一个副本。我们进一步提出了一个解码方案，以阐明传送解释，并将我们的分析与可穿越的虫洞物理学联系起来。
According to holography, entanglement is the building block of spacetime; therefore, drastic changes of entanglement will lead to interesting transitions in the dual spacetime. In this paper, we study the effect of projective measurements on the Sachdev-Ye-Kitaev (SYK) model's thermofield double state, dual to an eternal black hole in Jackiw-Teitelboim (JT) gravity. We calculate the (Renyi-2) mutual information between the two copies of the SYK model upon projective measurement of a subset of fermions in one copy. We propose a dual JT gravity model that can account for the change of entanglement due to measurement, and observe an entanglement wedge phase transition in the von Neumann entropy. The entanglement wedge for the unmeasured side changes from the region outside the horizon to include the entire time reversal invariant slice of the two-sided geometry as the number of measured Majorana fermions increases. Therefore, after the transition, the bulk information stored in the measured subsystem is not entirely lost upon projection in one copy of the SYK model, but rather teleported to the other copy. We further propose a decoding protocol to elucidate the teleportation interpretation, and connect our analysis to the physics of traversable wormholes.
