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The theory of the asymptotic manipulation of pure bipartite quantum systems can be considered completely understood: The rates at which bipartite entangled states can be asymptotically transformed into each other are fully determined by a…

量子物理 · 物理学 2020-08-26 A. Streltsov , C. Meignant , J. Eisert

We analytically obtain the maximum probability of converting a finite number of copies of an arbitrary two-qubit pure state to a single copy of a maximally entangled two-qubit pure state via entanglement assisted local operations and…

量子物理 · 物理学 2020-07-22 Siddhartha Santra , Vladimir S. Malinovsky

In quantum information theory, it is widely believed that entanglement concentration for bipartite pure states is asymptotically reversible. In order to examine this, we give a precise formulation of the problem, and show a trade-off…

量子物理 · 物理学 2013-10-01 Wataru Kumagai , Masahito Hayashi

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

An optimal local conversion strategy between any two pure states of a bipartite system is presented. It is optimal in that the probability of success is the largest achievable if the parties which share the system, and which can communicate…

量子物理 · 物理学 2009-10-31 Guifre Vidal

We demonstrate that multiple copies of a bipartite entangled pure state may serve as a catalyst for certain entanglement transformations while a single copy cannot. Such a state is termed a "multiple-copy catalyst" for the transformations.…

量子物理 · 物理学 2007-05-23 Runyao Duan , Yuan Feng , Xin Li , Mingsheng Ying

Transformations involving only local operations assisted with classical communication are investigated for multipartite entangled pure states having tensor rank 2. All necessary and sufficient conditions for the possibility of…

量子物理 · 物理学 2010-01-22 S. Turgut , Y. Gul , N. K. Pak

The problem of the reliable transfer of entanglement from one pure bipartite quantum state to another using local operations is analyzed. It is shown that in the case of qubits the amount that can be transferred is restricted to the…

量子物理 · 物理学 2007-05-23 Berry Groisman

We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for two parties must remain…

量子物理 · 物理学 2007-05-23 N. Linden , S. Popescu , B. Schumacher , M. Westmoreland

We present an optimal scheme to realize the transformations between single copies of two bipartite entangled states without classical communication between the sharing parties. The scheme achieves the upper bound for the success…

量子物理 · 物理学 2008-12-17 Bing He , János A. Bergou

We show that in the presence of arbitrary catalysts, any pure bipartite entangled state can be converted into any other to unlimited accuracy without the use of any communication, quantum or classical.

量子物理 · 物理学 2007-05-23 Wim van Dam , Patrick Hayden

The distribution of typical bipartite pure states is studied within the framework of state transformation via local operation and classical communication (LOCC). We report the statistics of comparable and incomparable states in different…

量子物理 · 物理学 2022-11-14 Rivu Gupta , Arghya Maity , Shiladitya Mal , Aditi Sen De

We examine the powers of entanglement-assisted transformation and multiple-copy entanglement transformation. First, we find a sufficient condition of when a given catalyst is useful in producing another specific target state. As an…

量子物理 · 物理学 2007-05-23 Runyao Duan , Yuan Feng , Mingsheng Ying

Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. Its modern description relies on a resource-theoretical approach, which treats entangled systems as a means to enable or accelerate…

量子物理 · 物理学 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

We consider entanglement swapping schemes with general (rather than maximally) entangled bipartite states of arbitary dimension shared pairwise between three or more parties in a chain. The intermediate parties perform generalised Bell…

量子物理 · 物理学 2009-11-06 Lucien Hardy , David D. Song

Incomparability of pure bipartite entangled states under deterministic LOCC is a very strange phenomena. We find two possible ways of getting our desired pure entangled state which is incomparable with the given input state, by collective…

量子物理 · 物理学 2007-05-23 Indrani Chattopadhyay , Debasis Sarkar

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…

量子物理 · 物理学 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

We demonstrate that local transformations on a composite quantum system can be enhanced in the presence of certain entangled states. These extra states act much like catalysts in a chemical reaction: they allow otherwise impossible local…

量子物理 · 物理学 2009-01-23 Daniel Jonathan , Martin B. Plenio

We present a general theoretical framework for both deterministic and probabilistic entanglement transformations of bipartite pure states achieved via local operations and classical communication. This framework unifies and greatly…

量子物理 · 物理学 2009-11-07 G. M. D'Ariano , M. F. Sacchi

We consider the problem of deciding if a given three-party entangled pure state can be converted, with a non-zero success probability, into a given two-party pure state through local quantum operations and classical communication. We show…

量子物理 · 物理学 2011-08-16 Eric Chitambar , Runyao Duan , Yaoyun Shi
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