Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Rath,Pratik"'
For general random tensor network states at large bond dimension, we prove that the integer R\'enyi reflected entropies (away from phase transitions) are determined by minimal triway cuts through the network. This generalizes the minimal cut descript
Externí odkaz:
http://arxiv.org/abs/2409.17218
The entanglement negativity $\mathcal{E}(A:B)$ is a useful measure of quantum entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related to fixed-area states, it was found in [arXiv:2101.11029] that the dominant saddl
Externí odkaz:
http://arxiv.org/abs/2409.13009
Autor:
Antonini, Stefano, Rath, Pratik
We discuss a situation where a holographic CFT state has multiple semiclassical bulk duals. In our example, a given holographic state has two simple, semiclassical descriptions, one with a closed universe, constructed using the gravitational path int
Externí odkaz:
http://arxiv.org/abs/2408.02720
We propose a new formula for computing holographic Renyi entropies in the presence of multiple extremal surfaces. Our proposal is based on computing the wave function in the basis of fixed-area states and assuming a diagonal approximation for the Ren
Externí odkaz:
http://arxiv.org/abs/2312.04625
Consider two boundary subregions $A$ and $B$ that lie in a common boundary Cauchy surface, and consider also the associated HRT surface $\gamma_B$ for $B$. In that context, the constrained HRT surface $\gamma_{A:B}$ can be defined as the codimension-
Externí odkaz:
http://arxiv.org/abs/2311.18290
The entanglement of purification $E_P(A\colon B)$ is a powerful correlation measure, but it is notoriously difficult to compute because it involves an optimization over all possible purifications. In this paper, we prove a new inequality: $E_P(A\colo
Externí odkaz:
http://arxiv.org/abs/2306.06163
The Computable Cross Norm (CCNR) was recently discussed in Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a condensed matter context. In this short note, we point out that it is closely related to the $(2,n)$-R\'enyi reflected e
Externí odkaz:
http://arxiv.org/abs/2212.11978
In arXiv:2112.09122, we analyzed the reflected entropy ($S_R$) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, $S_R=2 \frac{EW}{4G}$. In this paper, we discover further
Externí odkaz:
http://arxiv.org/abs/2210.15006
Autor:
Kudler-Flam, Jonah, Rath, Pratik
The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find corrections
Externí odkaz:
http://arxiv.org/abs/2203.11954
The concept of fixed-area states has proven useful for recent studies of quantum gravity, especially in connection with gravitational holography. We explore the Lorentz-signature spacetime geometry intrinsic to such fixed-area states in this paper. T
Externí odkaz:
http://arxiv.org/abs/2203.04973