Petz map and Python's lunch

Python's Lunches in Jackiw-Teitelboim gravity with matter

We study Python's lunch geometries in the two-dimensional Jackiw-Teitelboim model coupled to a massless scalar field in the semiclassical limit. We show that all extrema including the minimal quantum extremal surface, bulges and appetizers lie inside the horizon. We obtain fully back-reacted general bulk solutions with a massless scalar field, which can be understood as deformations of black holes. The temperatures of the left/right black holes become in general different from each other. Moreover, in the presence of both state and source deformations at the same time, the asymptotic black hol…

Python's Lunch猜想中的几何惊奇

Geometric Surprises in the Python's Lunch Conjecture

本文研究全息时空中凸起面的几何性质，发现其自发破缺等距对称、对红外截断敏感、可自相交并探测纠缠阴影等新奇特征，从而揭示复杂度与纠缠之间的定性差异。

Warping Wormholes with Dust: a Metric Construction of the Python's Lunch

We show how wormholes in three spacetime dimensions can be customizably warped using pressureless matter. In particular, we exhibit a large new class of solutions in (2+1)-dimensional general relativity with energy-momentum tensor describing a negative cosmological constant and positive-energy dust. From this class of solutions, we construct wormhole geometries and study their geometric and holographic properties, including Ryu-Takayanagi surfaces, entanglement wedge cross sections, mutual information, and outer entropy. Finally, we construct a Python's Lunch geometry: a wormhole in asymptotic…

The Python's Lunch: geometric obstructions to decoding Hawking radiation

According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole - specifically to the exponential of the diff…

Python's lunch 猜想的密码学检验

Cryptographic tests of the python's lunch conjecture

本研究利用密码学工具（条件披露秘密）检验 python's lunch 猜想，从张量网络模型推导出互信息的几何下界，并在 AdS_{2+1} 中验证，支持该猜想。

稳定子复杂度与Python午餐

Stabilizer complexity and the Python's lunch

本研究在全息CFT框架下，探究部分纠缠热态约化密度矩阵的稳定子复杂度，发现bulk几何存在Python午餐时其维格纳负性及稳定子复杂度呈指数级增强。