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We introduce a simple, experimentally realisable, entanglement manipulation protocol for exploring mixed state entanglement. We show that for both non-maximally entangled pure, and mixed polarisation-entangled two qubit states, an increase…

量子物理 · 物理学 2009-11-06 R. T. Thew , W. J. Munro

In the context of quantifying entanglement we study those functions of a multipartite state which do not increase under the set of local transformations. A mathematical characterization of these monotone magnitudes is presented. They are…

量子物理 · 物理学 2015-06-26 Guifre Vidal

Heterogeneous bipartite quantum pure states, composed of two subsystems with a different number of levels, cannot have both reductions maximally mixed. In this work, we demonstrate existence of a wide range of highly entangled states of…

量子物理 · 物理学 2016-08-06 D. Goyeneche , J. Bielawski , K. Życzkowski

We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication). Necessary conditions for the existence of such a transformation are obtained using…

量子物理 · 物理学 2022-06-27 Somshubhro Bandyopadhyay , Saronath Halder , Ritabrata Sengupta

It is shown that (i) all entangled states can be mapped by single-copy measurements into probability distributions containing secret correlations, and (ii) if a probability distribution obtained from a quantum state contains secret…

量子物理 · 物理学 2009-11-10 Antonio Acin , Nicolas Gisin

We provide necessary and sufficient conditions for the partial transposition of bipartite harmonic quantum states to be nonnegative. The conditions are formulated as an infinite series of inequalities for the moments of the state under…

量子物理 · 物理学 2009-11-11 E. Shchukin , W. Vogel

We consider the optimal discrimination of bipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition for a measurement to…

量子物理 · 物理学 2022-03-16 Donghoon Ha , Jeong San Kim

We derive a lower bound for the optimal fidelity for deterministic cloning a set of n pure states. In connection with states estimation, we obtain a lower bound about average maximum correct states estimation probability.

量子物理 · 物理学 2009-10-31 Chuan-Wei Zhang , Chuan-Feng Li , Guang-Can Guo

We derive an explicit analytic estimate for the entanglement of a large class of bipartite quantum states which extends into bound entanglement regions. This is done by using an efficiently computable concurrence lower bound, which is…

We numerically study protocols consisting of repeated applications of two qubit gates used for generating random pure states. A necessary number of steps needed in order to generate states displaying bipartite entanglement typical of random…

量子物理 · 物理学 2007-07-18 Marko Znidaric

We present a general method to find the upper and lower bounds on the generalized entanglement of formation for multi-party systems. The upper and lower bounds can be expressed in terms of the bi-partite entanglements of formation and/or…

量子物理 · 物理学 2007-05-23 An Min Wang

An entangled state is bound entangled, if one cannot combine any number of copies of the state to a maximally entangled state, by using only local operations and classical communication. If one formalizes this notion of bound entanglement,…

量子物理 · 物理学 2026-02-05 Michael Gaida , Matthias Kleinmann

We prove, in a multipartite setting, that it's always feasible to exactly transform a genuinely $m$-partite entangled state with sufficient many copies to any other $m$-partite state via local quantum operation and classical communication.…

量子物理 · 物理学 2007-05-23 Zhengfeng Ji , Runyao Duan , Mingsheng Ying

We introduce an effective thermodynamics for multipartite entangled pure states and derive an upper bound on extractable energy with feedback control from a subsystem under a local Hamiltonian. The inequality that gives the upper bound…

量子物理 · 物理学 2024-08-26 Kanji Itoh , Yusuke Masaki , Hiroaki Matsueda

We give conditions under which general bipartite entangled nonorthogonal states become maximally entangled states. By the conditions we construct a large class of entangled nonorthogonal states with exact one ebit of entanglement in both…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang

We find that the mixed maximally entangled states exist and prove that the form of the mixed maximally entangled states is unique in terms of the entanglement of formation. Moreover, even if the entanglement is quantified by other…

量子物理 · 物理学 2012-02-28 Zong-Guo Li , Ming-Jing Zhao , Shao-Ming Fei , Heng Fan , W. M. Liu

We present an improved protocol for entanglement purification of bipartite mixed states using several states at a time rather than two at a time as in the traditional recurrence method. We also present a generalization of the hashing method…

量子物理 · 物理学 2007-05-23 Elitza N. Maneva , John A. Smolin

We study partial coherence and its connections with entanglement. First, we provide a sufficient and necessary condition for bipartite pure state transformation under partial incoherent operations: A bipartite pure state can be transformed…

量子物理 · 物理学 2023-07-17 Sunho Kim , Chunhe Xiong , Shunlong Luo , Asutosh Kumar , Junde Wu

We consider the transformation of multi-partite states in the single copy setting under positive-partial-transpose-preserving operations (PPT-operations) and obtain both qualitative and quantitative results. Firstly, for some pure state…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka , Martin B. Plenio

In the general framework of $d\times d$ mixed states, we derive an explicit bound for bipartite NPT entanglement based on the mixedness characterization of the physical system. The result derived is very general, being based only on the…

量子物理 · 物理学 2020-02-19 Bruno Leggio , Anna Napoli , Hiromichi Nakazato , Antonino Messina