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We identify a special information-theoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A,B,C obey the inequality I(A:BC) >= I(A:B)+I(A:C), provided…

High Energy Physics - Theory · Physics 2013-07-25 Patrick Hayden , Matthew Headrick , Alexander Maloney

We present a way for the entanglement distillation of genuine mixed state. Different from the conventional mixed state in entanglement purification protocol, each components of the mixed state in our protocol is a less-entangled state,…

Quantum Physics · Physics 2014-04-15 Yu-Bo Sheng , Lan Zhou

We obtain the necessary and sufficient separability and distillability conditions of mixtures of a maximally entangled state and the completely separable state in relativistic setting. In an inertial frame we study the entanglement under…

Quantum Physics · Physics 2012-01-10 Shahpoor Moradi

We address the presence of non-distillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The…

Quantum Physics · Physics 2009-11-13 D. Cavalcanti , A. Ferraro , A. Garcia-Saez , A. Acin

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

High Energy Physics - Theory · Physics 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

We present a detailed theoretical analysis for the distillation of one copy of a mixed two-mode continuous-variable entangled state using beamsplitters and coherent photon-detection techniques, including conventional on-off detectors and…

Quantum Physics · Physics 2013-05-29 ShengLi Zhang , Peter van Loock

In this paper, we propose two general entanglement distillation protocols, which can concentrate the non-maximally entangled pure W class state. The general protocols are mainly based on the unitary transformation on the auxiliary particle…

Quantum Physics · Physics 2009-11-10 Zhuo-Liang Cao , Ming Yang

In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach…

High Energy Physics - Theory · Physics 2018-02-12 M. Botta Cantcheff , Alexandre L. Gadelha , Dáfni F. Z. Marchioro , Daniel Luiz Nedel

We propose a scheme for distillation of free bipartite entanglement from bipartite bound-entangled states. The crucial element of our scheme is an ancillary system that is coupled to the initial bound-entangled state via appropriate weak…

Quantum Physics · Physics 2013-12-19 S. Baghbanzadeh , A. T. Rezakhani

In the holographic correspondence, subregion duality posits that knowledge of the mixed state of a finite spacelike region of the boundary theory allows full reconstruction of a specific region of the bulk, known as the entanglement wedge.…

High Energy Physics - Theory · Physics 2018-08-21 Ricardo Espíndola , Alberto Guijosa , Juan F. Pedraza

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of…

High Energy Physics - Theory · Physics 2016-05-26 Bernard S. Kay

In this paper, our aim is to illustrate that the process of open string scattering corresponds to the evolution of the entanglement wedge, where the scattering distance is identified as the entanglement wedge cross section. Moreover,…

High Energy Physics - Theory · Physics 2025-01-28 Xin Jiang , Houwen Wu , Haitang Yang

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

There is some tension between two well-known ideas in holography. On the one hand, subregion duality asserts that the reduced density matrix associated with a limited region of the boundary theory is dual to a correspondingly limited region…

High Energy Physics - Theory · Physics 2022-09-07 Alberto Guijosa , Yaithd D. Olivas , Juan F. Pedraza

The aim of this work is to examine the exponential rates at which entanglement distillation occur in three-qubits systems. The approach we will follow to elucidate the entanglement concentration is based on the Schur-Weyl decomposition and…

Quantum Physics · Physics 2016-11-01 Jose Mejia

We consider fine-grained probes of the entanglement structure of two dimensional conformal field theories deformed by the irrelevant double-trace operator $T\bar{T}$ and its closely related but nonetheless distinct single-trace counterpart.…

High Energy Physics - Theory · Physics 2020-08-18 Meseret Asrat , Jonah Kudler-Flam

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

High Energy Physics - Theory · Physics 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

We present an inequality for detecting entanglement and distillability of arbitrary dimensional bipartite systems. This inequality provides a sufficient condition of entanglement for bipartite mixed states, and a necessary and sufficient…

Quantum Physics · Physics 2013-07-04 Ming-Jing Zhao , Ting-Gui Zhang , Xianqing Li-Jost , Shao-Ming Fei

We study entanglement distillability of bipartite mixed spin states under Wigner rotations induced by Lorentz transformations. We define weak and strong criteria for relativistic isoentangled and isodistillable states to characterize…

Quantum Physics · Physics 2009-11-11 L. Lamata , M. A. Martin-Delgado , E. Solano

We derive general upper bounds on the distillable entanglement of a mixed state under one-way and two-way LOCC. In both cases, the upper bound is based on a convex decomposition of the state into 'useful' and 'useless' quantum states. By…

Quantum Physics · Physics 2018-07-11 Felix Leditzky , Nilanjana Datta , Graeme Smith