298 citations · 1.1k across the 21 of their papers we have counts for
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Reflected entropy in random tensor networks III: triway cuts
Chris Akers, Thomas Faulkner, Simon Lin +1
For general random tensor network states at large bond dimension, we prove that the integer Rényi reflected entropies (away from phase transitions) are determined by minimal triway…
Entanglement of Purification in Random Tensor Networks
Chris Akers, Thomas Faulkner, Simon Lin +1
The entanglement of purification is a powerful correlation measure, but it is notoriously difficult to compute because it involves an optimization over all possibl…
Computable Cross Norm in Tensor Networks and Holography
Alexey Milekhin, Pratik Rath, Wayne Weng
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 p…
Reflected entropy in random tensor networks II: a topological index from the canonical purification
Chris Akers, Thomas Faulkner, Simon Lin +1
In arXiv:2112.09122, we analyzed the reflected entropy () in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holograph…
The Spacetime Geometry of Fixed-Area States in Gravitational Systems
Xi Dong, Donald Marolf, Pratik Rath +2
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 s…
Large and Small Corrections to the JLMS Formula from Replica Wormholes
Jonah Kudler-Flam, Pratik Rath
The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. W…
The Page Curve for Reflected Entropy
Chris Akers, Thomas Faulkner, Simon Lin +1
We study the reflected entropy in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the…
Reflected entropy in random tensor networks
Chris Akers, Thomas Faulkner, Simon Lin +1
In holographic theories, the reflected entropy has been shown to be dual to the area of the entanglement wedge cross section. We study the same problem in random tensor networks de…
Quantum Extremal Surfaces and the Holographic Entropy Cone
Chris Akers, Sergio Hernández-Cuenca, Pratik Rath
Quantum states with geometric duals are known to satisfy a stricter set of entropy inequalities than those obeyed by general quantum systems. The set of allowed entropies derived u…
Coarse-Graining Holographic States: A Semiclassical Flow in General Spacetimes
Chitraang Murdia, Yasunori Nomura, Pratik Rath
Motivated by the understanding of holography as realized in tensor networks, we develop a bulk procedure that can be interpreted as generating a sequence of coarse-grained holograp…
A Renyi Quantum Null Energy Condition: Proof for Free Field Theories
Mudassir Moosa, Pratik Rath, Vincent Paul Su
The Quantum Null Energy Condition (QNEC) is a lower bound on the stress-energy tensor in quantum field theory that has been proved quite generally. It can equivalently be phrased a…
Gravity Dual of Connes Cocycle Flow
Raphael Bousso, Venkatesa Chandrasekaran, Pratik Rath +1
We define the "kink transform" as a one-sided boost of bulk initial data about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we conjecture that the resulting Wheele…
Islands for Reflected Entropy
Venkatesa Chandrasekaran, Masamichi Miyaji, Pratik Rath
Recent work has demonstrated the need to include contributions from entanglement islands when computing the entanglement entropy in QFT states coupled to regions of semiclassical g…
Entanglement Wedge Cross Sections Require Tripartite Entanglement
Chris Akers, Pratik Rath
We argue that holographic CFT states require a large amount of tripartite entanglement, in contrast to the conjecture that their entanglement is mostly bipartite. Our evidence is t…
Comments on Holographic Entanglement Entropy in TT Deformed CFTs
Chitraang Murdia, Yasunori Nomura, Pratik Rath +1
The Ryu-Takayanagi (RT) formula has been a key ingredient in our understanding of holography. Recent work on TT deformations has also boosted our understanding of holography away f…
Holographic Renyi Entropy from Quantum Error Correction
Chris Akers, Pratik Rath
We study Renyi entropies in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing $\widetilde{S}_n \equiv n^2 \partial_n (\frac…
Pulling the Boundary into the Bulk
Yasunori Nomura, Pratik Rath, Nico Salzetta
Motivated by the ability to consistently apply the Ryu-Takayanagi prescription for general convex surfaces and the relationship between entanglement and geometry in tensor networks…
Spacetime from Unentanglement
Yasunori Nomura, Pratik Rath, Nico Salzetta
The past decade has seen a tremendous effort toward unraveling the relationship between entanglement and emergent spacetime. These investigations have revealed that entanglement be…
Classical Spacetimes as Amplified Information in Holographic Quantum Theories
Yasunori Nomura, Pratik Rath, Nico Salzetta
We argue that classical spacetimes represent amplified information in the holographic theory of quantum gravity. In general, classicalization of a quantum system involves amplifica…
Comments on Holographic Complexity
Dean Carmi, Robert C. Myers, Pratik Rath
We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV…