ترغب بنشر مسار تعليمي؟ اضغط هنا

Petz map and Pythons lunch

196   0   0.0 ( 0 )
 نشر من قبل Ying Zhao
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Ying Zhao




اسأل ChatGPT حول البحث

We look at the interior operator reconstruction from the point of view of Petz map and study its complexity. We show that Petz maps can be written as precursors under the condition of perfect recovery. When we have the entire boundary system its complexity is related to the volume / action of the wormhole from the bulk operator to the boundary. When we only have access to part of the system, Pythons lunch appears and its restricted complexity depends exponentially on the size of the subsystem one loses access to.



قيم البحث

اقرأ أيضاً

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 t race 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 difference in generalized entropies between the two non-minimal quantum extremal surfaces that constitute the obstruction. Due to its shape, we call this obstruction the Pythons Lunch, in analogy to the reptiles postprandial bulge.
We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the repl ica trick. We also take the opportunity to comment on the differences between coarse-graining and random projections.
102 - Vadim Schechtman 2021
We discuss the geometry behind some integrals related to structure constants of the Liouville conformal field theory.
72 - Josh Cork 2017
We study $SU(2)$ calorons, also known as periodic instantons, and consider invariance under isometries of $S^1timesmathbb{R}^3$ coupled with a non-spatial isometry called the rotation map. In particular, we investigate the fixed points under various cyclic symmetry groups. Our approach utilises a construction akin to the ADHM construction of instantons -- what we call the monad matrix data for calorons -- derived from the work of Charbonneau and Hurtubise. To conclude, we present an example of how investigating these symmetry groups can help to construct new calorons by deriving Nahm data in the case of charge $2$.
86 - Chang Liu , David A. Lowe 2019
We propose a holographic map between Einstein gravity coupled to matter in a de Sitter background and large N quantum mechanics of a system of spins. Holography maps a spin model with a finite dimensional Hilbert space defined on a version of the str etched horizon into bulk gravitational dynamics. The full Hamiltonian of the spin model contains a non-local piece which generates chaotic dynamics, widely conjectured to be a necessary part of quantum gravity, and a local piece which recovers the perturbative spectrum in the bulk.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا