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We show the equivalence of two approaches to the design of entanglement distillation protocols. The first approach is based on local unitary operations that yield permutations of tensor products of Bell states. The second approach is based…

量子物理 · 物理学 2007-05-23 Erik Hostens , Jeroen Dehaene , Bart De Moor

We discuss a specific entanglement distillation scheme under the constraint of finite samples of entangled qubit pairs. It is shown that an iterative process can be explicitly formulated. The average fidelity of this process can be enhanced…

量子物理 · 物理学 2007-05-23 Stefan Probst-Schendzielorz , Thorsten Bschorr , Matthias Freyberger

Minimizing both experimental effort and consumption of valuable quantum resources in state estimation is vital in practical quantum information processing. Here, we explore characterizing states as an additional benefit of the entanglement…

It is shown that, if the loss of entanglement along a quantum channel is sufficiently small, then approximate quantum error correction is possible, thereby generalizing what happens for coherent information. Explicit bounds are obtained for…

量子物理 · 物理学 2008-01-15 Francesco Buscemi

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…

量子物理 · 物理学 2013-12-19 S. Baghbanzadeh , A. T. Rezakhani

The goal of an entanglement distillation protocol is to convert large quantities of noisy entangled states into a smaller number of high-fidelity Bell pairs. The celebrated one-way hashing method is one such protocol, and it is known for…

量子物理 · 物理学 2025-06-09 Thomas A. Hahn , Ryan White , Hannes Bernien , Rotem Arnon

Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing…

量子物理 · 物理学 2025-12-17 Christopher Popp , Tobias C. Sutter , Beatrix C. Hiesmayr

The relation between Bell inequalities with two two-outcome measurements per site and distillability is analyzed in systems of an arbitrary number of quantum bits. We observe that the violation of any of these inequalities by a quantum…

量子物理 · 物理学 2009-11-07 Antonio Acin , Valerio Scarani , Michael M. Wolf

High-fidelity entanglement shared between distant quantum systems is an essential resource for quantum communication and computation. Entanglement distillation addresses this need by converting multiple noisy Bell pairs into fewer…

量子物理 · 物理学 2025-03-14 Shoham Jacoby , Rotem Arnon-Friedman , Serge Rosenblum

We develop a theory of entanglement distillation that exploits a convolutional coding structure. We provide a method for converting an arbitrary classical binary or quaternary convolutional code into a convolutional entanglement…

量子物理 · 物理学 2010-08-12 Mark M. Wilde , Hari Krovi , Todd A. Brun

The goal of entanglement distillation is to turn a large number of weakly entangled states into a smaller number of highly entangled ones. Practical entanglement distillation schemes offer a tradeoff between the fidelity to the target…

The notion of distillable entanglement is one of the fundamental concepts of quantum information theory. Unfortunately, there is an apparent mismatch between the intuitive and rigorous definitions of distillable entanglement. To be precise,…

量子物理 · 物理学 2009-10-31 Eric M. Rains

Given the goal of maximizing CHSH violation, we compare the optimal strategies of entanglement and nonlocality distillation. In the limit of the number of copies of the shared state, entanglement distillation is guaranteed to work by…

量子物理 · 物理学 2026-03-03 Peter Høyer , Jibran Rashid , Razeen ud Din

It is shown that if a mixed state can be distilled to the singlet form, it must violate partial transposition criterion [A. Peres, Phys. Rev. Lett. 76, 1413 (1996)]. It implies that there are two qualitatively different types of…

量子物理 · 物理学 2009-10-31 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

The degradation of entanglement in quantum memories due to decoherence is a critical challenge for scalable quantum networks. We present an entanglement distillation protocol based on the [[4,2,2]] quantum error-detecting code, deriving…

量子物理 · 物理学 2025-09-09 Huidan Zheng , Gunsik Min , Ilkwon Sohn , Jun Heo

We approach two interconnected problems of quantum information processing in networks: Conference key agreement and entanglement distillation, both in the so-called source model where the given resource is a multipartite quantum state and…

量子物理 · 物理学 2025-02-28 Farzin Salek , Andreas Winter

Near-term and early fault-tolerant quantum computing architectures are expected to exhibit highly non-uniform error rates. In particular, local operations within a chip can be substantially more reliable than operations connecting different…

量子物理 · 物理学 2026-05-27 Elisa Bäumer Marty

Nonlocality, manifested by the violation of Bell inequalities, indicates entanglement within a joint quantum system. A natural question is how much entanglement is required for a given nonlocal behavior. Here, we explore this question by…

量子物理 · 物理学 2025-06-23 Yuwei Zhu , Xingjian Zhang , Xiongfeng Ma

We evaluate the one-shot entanglement of assistance for an arbitrary bipartite state. This yields another interesting result, namely a characterization of the one-shot distillable entanglement of a bipartite pure state. This result is shown…

量子物理 · 物理学 2013-03-18 Francesco Buscemi , Nilanjana Datta

Production of quantum states exhibiting a high degree of entanglement out of noisy conditions is one of the main goals of quantum information science. Here, we provide a conditional yet efficient entanglement distillation method which…