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Suppose Alice and Bob try to transform an entangled state shared between them into another one by local operations and classical communications. Then in general a certain amount of entanglement contained in the initial state will decrease…

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

When an entangled state is transformed into another one with probability one by local operations and classical communication, the quantity of entanglement decreases. This letter shows that entanglement lost in the manipulation can be…

量子物理 · 物理学 2009-10-31 Fumiaki Morikoshi

Understanding multipartite entanglement is vital, as it underpins a wide range of phenomena across physics. The study of transformations of states via Local Operations assisted by Classical Communication (LOCC) allows one to quantitatively…

量子物理 · 物理学 2021-09-01 Antoine Neven , David Gunn , Martin Hebenstreit , Barbara Kraus

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

量子物理 · 物理学 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

Local operations assisted by classical communication (LOCC) constitute the free operations in entanglement theory. Hence, the determination of LOCC transformations is crucial for the understanding of entanglement. We characterize here…

量子物理 · 物理学 2018-08-01 David Sauerwein , Nolan R. Wallach , Gilad Gour , Barbara Kraus

We studied pure state transformations using local operations assisted by finitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C. Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here, we first of…

量子物理 · 物理学 2017-02-01 J. I. de Vicente , C. Spee , D. Sauerwein , B. Kraus

We construct the protocols to achieve probabilistic and deterministic entanglement transformations for bipartite pure states by means of local operations and classical communication. A new condition on pure contraction transformations is…

量子物理 · 物理学 2007-05-23 G. M. D'Ariano , M. F. Sacchi

Reversible state transformations under entanglement non-increasing operations give rise to entanglement measures. It is well known that asymptotic local operations and classical communication (LOCC) are required to get a simple operational…

量子物理 · 物理学 2013-05-29 Ashish V. Thapliyal , John A. Smolin

We consider generic pure $n$-qubit states and a general class of pure states of arbitrary dimensions and arbitrarily many subsystems. We characterize those states which can be reached from some other state via Local Operations assisted by…

量子物理 · 物理学 2017-02-01 C. Spee , J. I. de Vicente , D. Sauerwein , B. Kraus

Understanding multipartite entanglement is a key goal in quantum information. Entanglement in pure states can be characterised by considering transformations under Local Operations assisted by Classical Communication (LOCC). However, it has…

量子物理 · 物理学 2024-03-06 David Gunn , Martin Hebenstreit , Cornelia Spee , Julio I. de Vicente , Barbara Kraus

In this work, we construct small sets of bipartite orthogonal pure states that cannot be perfectly distinguished by local operations and classical communication (LOCC). We mention that not all the states within the constructed sets are…

量子物理 · 物理学 2026-03-31 Saronath Halder , Suchetana Goswami

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

Recently, entanglement concentration was explicitly shown to be irreversible. However, it is still not clear what kind of states can be reversibly converted in the asymptotic setting by LOCC when neither the initial nor the target state is…

量子物理 · 物理学 2017-07-28 Kosuke Ito , Wataru Kumagai , Masahito Hayashi

The study of state transformations under local operations and classical communication (LOCC) plays a crucial role in entanglement theory. While this has been long ago characterized for pure bipartite states, the situation is drastically…

Multipartite quantum entanglement serves as a resource for spatially separated parties performing distributed quantum information processing. Any multipartite entangled state can be generated from appropriately distributed bipartite…

量子物理 · 物理学 2018-11-20 Hayata Yamasaki , Alexander Pirker , Mio Murao , Wolfgang Dür , Barbara Kraus

For manipulations of multipartite quantum systems, it was well known that all local operations assisted by classical communication (LOCC) constitute a proper subset of the class of separable operations. Recently, Gheorghiu and Griffiths…

量子物理 · 物理学 2009-10-23 Eric Chitambar , Runyao Duan

We study the problem of deterministic transformations of an \textit{initial} pure entangled quantum state, $|\psi\rangle$, into a \textit{target} pure entangled quantum state, $|\phi\rangle$, by using \textit{local operations and classical…

量子物理 · 物理学 2017-01-12 G. M. Bosyk , G. Sergioli , H. Freytes , F. Holik , G. Bellomo

In order to cope with the fact that there exists no single maximally entangled state (up to local unitaries) in the multipartite setting, we introduced in [J. I. de Vicente, C. Spee and B. Kraus, Phys. Rev. Lett. 111, 110502 (2013)] the…

量子物理 · 物理学 2016-12-14 C. Spee , J. I. de Vicente , B. Kraus

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

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single copy of the state. Accordingly, we say…

量子物理 · 物理学 2009-11-06 W. Dür , G. Vidal , J. I. Cirac
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