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We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum states, in quantum error-correcting codes and find it to equal the minimal cross sectional area of the entanglement wedge in holographic codes with a…

High Energy Physics - Theory · Physics 2022-02-08 Jonah Kudler-Flam , Shinsei Ryu

We develop a covariant formalism to investigate the mixed state entanglement structure of time-dependent boosted subsystems in $\textrm{T}\bar{\textrm{T}}$ deformed CFT$_2$s through the reflected entropy. To this end we utilize the…

High Energy Physics - Theory · Physics 2024-02-13 Debarshi Basu , Vinayak Raj

We study the reflected entropy $S_R$ 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 validity of the holographic duality relating it to the…

High Energy Physics - Theory · Physics 2023-07-18 Chris Akers , Thomas Faulkner , Simon Lin , Pratik Rath

We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of $N$ strands sewn together into "long" strings, with wavefunctions symmetrized under…

High Energy Physics - Theory · Physics 2019-02-20 Vijay Balasubramanian , Ben Craps , Tim De Jonckheere , Gábor Sárosi

We provide a framework for a perturbative evaluation of the reduced density matrix. The method is based on a path integral in the analytically continued spacetime. It suggests an alternative to the holographic and `standard' replica trick…

High Energy Physics - Theory · Physics 2015-06-19 Vladimir Rosenhaus , Michael Smolkin

In this paper, we consider AdS$_3$ with Comp$\grave{\mathrm{e}}$re-Song-Strominger (CSS) boundary conditions, under which the dual field theory is warped conformal field theory (WCFT), featuring a Virasoro-Kac-Moody algebra. We provide a…

High Energy Physics - Theory · Physics 2021-09-29 Baizhi Gao , Jianfei Xu

We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in $BCFT_2$s with two distinct boundaries through a replica technique in the large central charge limit.…

High Energy Physics - Theory · Physics 2023-03-22 Mir Afrasiar , Jaydeep Kumar Basak , Ashish Chandra , Gautam Sengupta

In this work we generalize the entanglement of purification and its conjectured holographic dual to conditional and multipartite versions of the same, where the optimization defining the entanglement of purification is now optimized in…

High Energy Physics - Theory · Physics 2019-02-27 Ning Bao , Illan F. Halpern

Boundary conformal field theory (BCFT) and interface conformal field theory (ICFT) attract attention in the context of the information paradox problem. On this background, we develop the idea of the reflected entropy in BCFT/ICFT. We first…

High Energy Physics - Theory · Physics 2022-11-16 Yuya Kusuki

We study the entanglement of purification (EoP) of subsystem $A$ and B in conformal field theories (CFTs) stressing on its relation to unitary operations of disentanglement, if the auxiliary subsystem $\tilde{A}$ adjoins $A$ and…

High Energy Physics - Theory · Physics 2019-10-02 Wu-zhong Guo

Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with the decreasing one-parameter family of translated standard subspaces is convex for any given (not necessarily smooth) vector in…

Mathematical Physics · Physics 2024-01-11 Fabio Ciolli , Roberto Longo , Alessio Ranallo , Giuseppe Ruzzi

We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT. This, however, is just one of…

High Energy Physics - Theory · Physics 2015-04-16 Andreas Karch , Christoph F. Uhlemann

We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-$N$ gauge theories. For concreteness, we focus on a simple holographic…

High Energy Physics - Theory · Physics 2021-05-21 Brandon S. DiNunno , Niko Jokela , Juan F. Pedraza , Arttu Pönni

At the heart of recent progress in AdS/CFT is the question of subregion duality, or entanglement wedge reconstruction: which part(s) of the boundary CFT are dual to a given subregion of the bulk? This question can be answered by appealing…

High Energy Physics - Theory · Physics 2020-02-19 Chi-Fang Chen , Geoffrey Penington , Grant Salton

We use the intertwining properties of integral transformations to provide a compact proof of the holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations, in the context of the…

High Energy Physics - Theory · Physics 2017-04-07 Benjamin Mosk

We propose a holographic formalism for a timelike entanglement entropy in non-conformal theories. This pseudoentropy is a complex-valued measure of information, which, in holographic non-conformal theories, receives contributions from a set…

High Energy Physics - Theory · Physics 2024-04-03 Mir Afrasiar , Jaydeep Kumar Basak , Dimitrios Giataganas

By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions…

High Energy Physics - Theory · Physics 2018-05-22 Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau

In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion…

High Energy Physics - Theory · Physics 2019-07-24 Elaheh Bakhshaei , Ahmad Shirzad

We study the holographic entanglement entropy of spatial regions with corners in the AdS4/BCFT3 correspondence by considering three dimensional boundary conformal field theories whose boundary is a timelike plane. We compute analytically…

High Energy Physics - Theory · Physics 2017-12-19 Domenico Seminara , Jacopo Sisti , Erik Tonni

We introduce a description of a minimal surface in a space with boundary, as the world-hypersurface that the entangling surface traces. It does so by evolving from the boundary to the interior of the bulk under an appropriate geometric…

High Energy Physics - Theory · Physics 2020-04-22 Dimitrios Katsinis , Ioannis Mitsoulas , Georgios Pastras