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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

A W state is pair-wisely entangled, belonging to the different class from Greenberger, Horne, and Zeilinger (GHZ) state. We show that the W state enables three variant protocols, that is, quantum key distribution between several parts,…

Quantum Physics · Physics 2007-05-23 Jaewoo Joo , Jinhyoung Lee , Jingak Jang , Young-Jai Park

We describe how to achieve optimal entanglement generation and one-way entanglement distillation rates by coherent implementation of a class of secret key generation and secret key distillation protocols, respectively. This short paper is a…

Quantum Physics · Physics 2007-05-23 Igor Devetak , Andreas Winter

The heralded exact one-way distillable secret key is equal to the largest expected rate at which perfect secret key bits can be probabilistically distilled from a bipartite state by means of local operations and one-way classical…

Quantum Physics · Physics 2026-03-11 Vishal Singh , Mark M. Wilde

We study the secrecy properties of Gaussian states under Gaussian operations. Although such operations are useless for quantum distillation, we prove that it is possible to distill a secret key secure against any attack from sufficiently…

Quantum Physics · Physics 2012-04-30 M. Navascues , J. Bae , J. I. Cirac , M. Lewenstein , A. Sanpera , A. Acin

Higher-dimensional quantum systems are attracting interest for improving quantum protocol performance by increasing memory space. Characterizing quantum resources of such systems is fundamental but experimentally costly. We tackle the first…

Quantum Physics · Physics 2026-02-24 Christian Candeago , Paolo Da Rold , Michele Grossi , Pawel Horodecki , Antonio Mandarino

Methods for distilling maximally entangled tripartite (GHZ) states from arbitrary entangled tripartite pure states are described. These techniques work for virtually any input state. Each technique has two stages which we call primary and…

Quantum Physics · Physics 2009-11-06 Oliver Cohen , Todd A. Brun

We show that pure states of multipartite quantum systems are multiseparable (i.e. give separable density matrices on tracing any party) if and only if they have a generalized Schmidt decomposition. Implications of this result for the…

Quantum Physics · Physics 2009-10-31 Ashish V. Thapliyal

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

Quantum Physics · Physics 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

Quantum distillation is the task of concentrating quantum correlations present in 'N' imperfect copies using free operations by involving all 'P' parties sharing the quantum correlations. We present a threshold quantum distillation task…

Quantum Physics · Physics 2026-02-16 Shashank Gupta , William John Munro , Carlos Cid

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…

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…

We show that {\it one} single-mode squeezed state distributed among $N$ parties using linear optics suffices to produce a truly $N$-partite entangled state for any nonzero squeezing and arbitrarily many parties. From this $N$-partite…

Quantum Physics · Physics 2009-10-31 P. van Loock , Samuel L. Braunstein

The one-way distillable entanglement is a central operational measure of bipartite entanglement, quantifying the optimal rate at which maximally entangled pairs can be extracted by one-way LOCC. Despite its importance, it is notoriously…

Quantum Physics · Physics 2026-03-25 Rabsan Galib Ahmed , Graeme Smith , Peixue Wu

It is known that from entangled states that have positive partial transpose it is not possible to distill maximally entangled states by local operations and classical communication (LOCC). A long-standing open question is whether maximally…

Quantum Physics · Physics 2013-08-27 Lukasz Pankowski , Fernando G. S. L. Brandao , Michal Horodecki , Graeme Smith

We show that, in a multi-party setting, two non-distillable (bound-entangled) states tensored together can make a distillable state. This is an example of true superadditivity of distillable entanglement. We also show that unlockable…

Quantum Physics · Physics 2007-05-23 Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

Genuineness and distillability of entanglement play a key role in quantum information tasks, and they are easily disturbed by the noise. We construct a family of multipartite states without genuine entanglement and distillability sudden…

Quantum Physics · Physics 2021-02-05 Mengyao Hu , Lin Chen

Quantum physics phenomena, entanglement and coherence, are crucial for quantum information protocols, but understanding these in systems with more than two parts is challenging due to increasing complexity. The W state, a multipartite…

We study the distinguishability of a particular type of maximally entangled states -- the "lattice states" using a new approach of semidefinite program. With this, we successfully construct all sets of four ququad-ququad orthogonal…

Quantum Physics · Physics 2019-04-03 Zong-Xing Xiong , Mao-Sheng Li , Zhu-Jun Zheng , Chuan-Jie Zhu , Shao-Ming Fei

The positivity of the partial transpose is in general only a necessary condition for separability. There exist quantum states that are not separable, but nevertheless are positive under partial transpose. States of this type are known as…

Quantum Physics · Physics 2019-08-14 Shan Ma , Matthew J. Woolley , Xiaojun Jia , Jing Zhang
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