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We study quantum entanglement distribution on networks with full-rank bi-partite mixed states linking qubits on nodes. In particular, we use entanglement swapping and purification to partially entangle widely separated nodes. The simplest…

Quantum Physics · Physics 2012-01-24 G. J. Lapeyre , S. Perseguers , M. Lewenstein , A. Acín

We present a proposal for entanglement purification of the continuous-variable quantum state of two propagating optical fields. The scheme is based on letting each field interact with a local node, an atomic ensemble, whose internal…

Quantum Physics · Physics 2015-05-14 Stojan Rebic , Stefano Mancini , Giovanna Morigi , David Vitali

High-quality long-distance entanglement is essential for both quantum communication and scalable quantum networks. Entanglement purification is to distill high-quality entanglement from low-quality entanglement in a noisy environment and it…

Entanglement purification protocols, designed to improve the fidelity of Bell states over quantum networks for inter-node communications, have attracted significant attention over the last few decades. These protocols have great potential…

Quantum Physics · Physics 2024-05-07 Yue Shi , Chenxu Liu , Samuel Stein , Meng Wang , Muqing Zheng , Ang Li

A method is proposed to characterize and quantify multipartite entanglement in terms of the probability density function of bipartite entanglement over all possible balanced bipartitions of an ensemble of qubits. The method is tested on a…

Quantum Physics · Physics 2007-05-25 P. Facchi , G. Florio , S. Pascazio

Recently Xiao et al. proposed a scheme for entanglement purification based on doubly entangled photon states (Phys. Rev. A 77(2008) 042315). We modify their scheme for improving the efficiency of entanglement purification. This modified…

Quantum Physics · Physics 2008-10-14 Chuan Wang , Yu-Bo Sheng , Xi-Han Li , Fu-Guo Deng , Wei Zhang , Gui Lu Long

Noise and photon loss encountered on quantum channels pose a major challenge for reliable entanglement generation in quantum networks. In near-term networks, heralding is required to inform endpoints of successfully generated entanglement.…

Quantum Physics · Physics 2024-01-17 Mohammad Mobayenjarihani , Gayane Vardoyan , Don Towsley

We present upper and lower bounds to the relative entropy of entanglement of multi-party systems in terms of the bi-partite entanglements of formation and distillation and entropies of various subsystems. We point out implications of our…

Quantum Physics · Physics 2009-11-06 M. B. Plenio , V. Vedral

Multipartite entangled states are a fundamental resource for a wide range of quantum information processing tasks. In particular, in quantum networks it is essential for the parties involved to be able to verify if entanglement is present…

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

We develop graph theoretic methods for analysing maximally entangled pure states distributed between a number of different parties. We introduce a technique called {\it bicolored merging}, based on the monotonicity feature of entanglement…

Quantum Physics · Physics 2007-05-23 Sudhir Kumar Singh , Sudebkumar Prasant Pal , Somesh Kumar , R. Srikanth

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 consider entanglement-assisted remote quantum state manipulation of bi-partite mixed states. Several aspects are addressed: we present a class of mixed states of rank two that can be transformed into another class of mixed states under…

Quantum Physics · Physics 2009-10-31 J. Eisert , M. Wilkens

Entanglement buffers are systems that maintain high-quality entanglement, ensuring it is readily available for consumption when needed. In this work, we study the performance of a two-node buffer, where each node has one long-lived quantum…

Quantum Physics · Physics 2025-02-28 Álvaro G. Iñesta , Bethany Davies , Sounak Kar , Stephanie Wehner

Graph states are a key resource for a number of applications in quantum information theory. Due to the inherent noise in noisy intermediate-scale quantum (NISQ) era devices, it is important to understand the effects noise has on the…

Quantum Physics · Physics 2026-05-27 Aqil Sajjad , Eneet Kaur , Kenneth Goodenough , Don Towsley , Saikat Guha

We argue that the entanglement of purification for two dimensional holographic CFT can be obtained from conformal blocks with internal twist operators. First, we explain our formula from the view point of tensor network model of holography.…

High Energy Physics - Theory · Physics 2019-12-06 Hayato Hirai , Kotaro Tamaoka , Tsuyoshi Yokoya

Purification is a powerful technique in quantum physics whereby a mixed quantum state is extended to a pure state on a larger system. This process is not unique, and in systems composed of many degrees of freedom, one natural purification…

High Energy Physics - Theory · Physics 2018-02-14 Phuc Nguyen , Trithep Devakul , Matthew G. Halbasch , Michael P. Zaletel , Brian Swingle

We introduce a potential of multipartite entanglement for a system of n qubits, as the average over all balanced bipartitions of a bipartite entanglement measure, the purity. We study in detail its expression and look for its minimizers,…

Mathematical Physics · Physics 2010-01-30 Paolo Facchi

Entanglement purification with two entangled resource pairs is widely employed in the literature on quantum repeater networks to counteract fidelity degradation introduced by noisy quantum memories and entanglement swapping across multiple…

Quantum Physics · Physics 2026-05-12 Anoosha Fayyaz , Prashant Krishnamurthy , Kaushik Seshadreesan , Amy Babay , David Tipper

Starting from the entanglement wedge of a multipartite mixed state we describe a purification procedure which involves the gluing of several copies. The resulting geometry has non-trivial topology and a single oriented boundary for each…

High Energy Physics - Theory · Physics 2021-03-31 Jonathan Harper