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We construct new entanglement distillation protocols by interpolating between the recurrence and hashing protocols. This leads to asymptotic two-way distillation protocols, resulting in an improvement of the distillation rate for all mixed…

Quantum Physics · Physics 2009-11-10 Karl Gerd H. Vollbrecht , Frank Verstraete

We study the entanglement distillation in continuous variable systems when a photon replacement protocol is employed. A cascaded protocol is studied and we find that the resultant entanglement increases by increasing the number of…

Quantum Physics · Physics 2020-07-15 Yasamin Mardani , Milad Ghadimi , Ali Shafiei , Mehdi Abdi

We consider entanglement distillation from a single-copy of a multipartite state, and instead of rates we analyze the "quality" of the distilled entanglement. This "quality" is quantified by the fidelity with the GHZ-state. We show that…

Quantum Physics · Physics 2009-11-11 Ll. Masanes

We initiate a rigorous study of computational entanglement theory, inspired by the emerging usefulness of ideas from quantum information theory in computational complexity. We define new operational computational measures of entanglement --…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Zvika Brakerski , Thomas Vidick

An important open problem in quantum information theory is the question of the existence of NPT bound entanglement. In the past years, little progress has been made, mainly because of the lack of mathematical tools to address the problem.…

Quantum Physics · Physics 2007-05-23 Lieven Clarisse

The performance of quantum resource manipulation protocols, including key examples such as distillation of quantum entanglement, is measured in terms of the rate at which desired target states can be produced from a given noisy state.…

Quantum Physics · Physics 2026-05-15 Ludovico Lami , Bartosz Regula , Ryuji Takagi

Quantum entanglement plays a central role in many areas of physics, from quantum information science to many-body systems. In order to grasp the essence of this phenomenon, it is fundamental to understand how different manifestations of…

Quantum Physics · Physics 2014-11-11 Tamas Vértesi , Nicolas Brunner

Many entanglement distillation schemes use either universal random hashing or breeding as their final step to obtain almost perfect shared EPR pairs. In spite of a high yield, the hardness of decoding a random linear code makes the use of…

Quantum Physics · Physics 2010-07-21 H. F. Chau , K. H. Ho

We study a variant of quantum hypothesis testing wherein an additional 'inconclusive' measurement outcome is added, allowing one to abstain from attempting to discriminate the hypotheses. The error probabilities are then conditioned on a…

Quantum Physics · Physics 2024-07-09 Bartosz Regula , Ludovico Lami , Mark M. Wilde

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

This paper tries to probe the relation between the local distinguishability of orthogonal quantum states and the distillation of entanglement. An new interpretation for the distillation of entanglement and the distinguishability of…

Quantum Physics · Physics 2007-05-23 Ping-Xing Chen , Cheng-Zu Li

We propose a measurement-based method to produce a maximally-entangled state from a partially-entangled pure state. Our goal can be thought of as entanglement distillation from a single copy of a partially-entangled state. The present…

Quantum Physics · Physics 2012-10-17 Yukihiro Ota , Sahel Ashhab , Franco Nori

The quantum relative entropy is known to play a key role in determining the asymptotic convertibility of quantum states in general resource-theoretic settings, often constituting the unique monotone that is relevant in the asymptotic…

Quantum Physics · Physics 2023-04-04 Bartosz Regula , Ludovico Lami , Mark M. Wilde

Quantum entanglement shared by remote network nodes serves as a valuable resource for promising applications in distributed computing, cryptography, and sensing. However, distributing entanglement with high-quality via fiber optic routes…

Quantum Physics · Physics 2018-10-02 Liangzhong Ruan , Brian T. Kirby , Michael Brodsky , Moe Z. Win

Entanglement sources that produce many entangled states act as a main component in applications exploiting quantum physics such as quantum communication and cryptography. Realistic sources are inherently noisy, cannot run for an infinitely…

Quantum Physics · Physics 2025-06-09 Rotem Arnon , Jean-Daniel Bancal

We consider distillation of entanglement from two qubit states which are mixtures of three mutually orthogonal states: two pure entangled states and one pure product state. We distill entanglement from such states by projecting n copies of…

When a quantum system is distributed to spatially separated parties, it is natural to consider how the system evolves when the parties perform local quantum operations with classical communication (LOCC). However, the structure of LOCC…

Quantum Physics · Physics 2020-05-07 Eric Chitambar , Julio I. de Vicente , Mark W. Girard , Gilad Gour

Quantum information theory is plagued by the problem of regularisations, which require the evaluation of formidable asymptotic quantities. This makes it computationally intractable to gain a precise quantitative understanding of the…

Quantum Physics · Physics 2025-03-11 Ludovico Lami , Francesco Anna Mele , Bartosz Regula

We characterize the set of shared quantum states which contain a cryptographically private key. This allows us to recast the theory of privacy as a paradigm closely related to that used in entanglement manipulation. It is shown that one can…

Quantum Physics · Physics 2009-11-10 Karol Horodecki , Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

Entanglement distribution is crucial for quantum communication and cryptography but is hindered by channel loss and decoherence. Noiseless linear amplification (NLA) is a probabilistic protocol that supports noiseless amplification without…

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