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Bound entanglement is a special form of quantum entanglement that cannot be used for distillation, i.e., the local transformation of copies of arbitrarily entangled states into a smaller number of approximately maximally entangled states.…

量子物理 · 物理学 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter

Ask how the quantum compression of ensembles of pure states is affected by the availability of entanglement, and in settings where the encoder has access to side information. We find the optimal asymptotic quantum rate and the optimal…

量子物理 · 物理学 2020-05-22 Zahra Baghali Khanian , Andreas Winter

Considering pure quantum states, entanglement concentration is the procedure where from $N$ copies of a partially entangled state, a single state with higher entanglement can be obtained. Getting a maximally entangled state is possible for…

量子物理 · 物理学 2023-04-12 L. Palma Torres , M. A. Solís-Prosser , O. Jiménez , E. S. Gómez , A. Delgado

A central question since the beginning of quantum information science is how two distant parties can convert one entangled state into another. It has been conjectured that such conversions could be executed reversibly in an asymptotic…

量子物理 · 物理学 2025-07-08 Ray Ganardi , Tulja Varun Kondra , Nelly H. Y. Ng , Alexander Streltsov

Transformations from pure to mixed states are usually associated with information loss and irreversibility. Here, a protocol is demonstrated allowing one to make these transformations reversible. The pure states are diluted with a random…

量子物理 · 物理学 2009-11-07 Michal Horodecki , Pawel Horodecki , Jonathan Oppenheim

We prove that sufficiently many copies of a bipartite entangled pure state can always be transformed into some copies of another one with certainty by local quantum operations and classical communication. The efficiency of such a…

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

Entanglement is a striking feature of quantum mechanics, and it has a key property called unextendibility. In this paper, we present a framework for quantifying and investigating the unextendibility of general bipartite quantum states.…

量子物理 · 物理学 2024-03-28 Kun Wang , Xin Wang , Mark M. Wilde

Quantum entanglement of pure states of a bipartite system is defined as the amount of local or marginal ({\em i.e.}referring to the subsystems) entropy. For mixed states this identification vanishes, since the global loss of information…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

For a pure state $\psi$ on a composite system $\mathcal{H}_A\otimes\mathcal{H}_B$, both the entanglement cost $E_C(\psi)$ and the distillable entanglement $E_D(\psi)$ coincide with the von Neumann entropy $H(\mathrm{Tr}_{B}\psi)$.…

量子物理 · 物理学 2012-05-22 Wataru Kumagai , Masahito Hayashi

We introduce a reversible theory of exact entanglement manipulation by establishing a necessary and sufficient condition for state transfer under trace-preserving transformations that completely preserve the positivity of partial transpose…

量子物理 · 物理学 2023-12-08 Xin Wang , Yu-Ao Chen , Lei Zhang , Chenghong Zhu

Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entanglement and thermodynamics, which leads to an identification…

量子物理 · 物理学 2015-10-21 Giulio Chiribella , Carlo Maria Scandolo

We relate the problem of irreversibility of entanglement with the recently defined measures of quantum correlation - quantum discord and one-way quantum deficit. We show that the entanglement of formation is always strictly larger than the…

量子物理 · 物理学 2011-07-11 Marcio F. Cornelio , Marcos C. de Oliveira , Felipe F. Fanchini

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

Entanglement is a unique nature of quantum theory and has tremendous potential for application. Nevertheless, the complexity of quantum entanglement grows exponentially with an increase in the number of entangled particles. Here we…

量子物理 · 物理学 2018-01-17 S. M. Zangi , Jun-Li Li , Cong-Feng Qiao

Quantum entanglement is a key physical resource in quantum information processing that allows for performing basic quantum tasks such as teleportation and quantum key distribution, which are impossible in the classical world. Ever since the…

量子物理 · 物理学 2020-07-29 Xin Wang , Mark M. Wilde

General formulas of entanglement concentration are derived by using an information-spectrum approach for the i.i.d. sequences and the general sequences of partially entangled pure states. That is, we derive general relations between the…

量子物理 · 物理学 2016-11-17 Masahito Hayashi

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 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

Remote information concentration, the reverse process of quantum telecloning, is presented. In this scheme, quantum information originally from a single qubit, but now distributed into three spatially separated qubits, is remotely…

量子物理 · 物理学 2009-11-06 Mio Murao , Vlatko Vedral

Characterizing entanglement in all but the simplest case of a two qubit pure state is a hard problem, even understanding the relevant experimental quantities that are related to entanglement is difficult. It may not be necessary, however,…

量子物理 · 物理学 2015-06-26 J. Grondalski , D. M. Etlinger , D. F. V. James
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