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Alice and Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary and sufficient…

量子物理 · 物理学 2015-06-11 H. F. Chau , Chi-Hang Fred Fung , Chi-Kwong Li , Edward Poon , Nung-Sing Sze

We consider distillation of ebits between a specified pair of subsystems from pure tripartite states by local operations and classical communication. It is known that, allowing an asymptotically vanishing error, the maximal rate is the…

量子物理 · 物理学 2025-07-21 Péter Vrana

We show that in some cases, catalyst-assisted entanglement transformation cannot be implemented by multiple-copy transformation for pure states. This fact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and M. S. Ying,…

量子物理 · 物理学 2009-11-10 Yuan Feng , Runyao Duan , Mingsheng Ying

We introduce the general catalysts for pure entanglement transformations under local operations and classical communications in such a way that we disregard the profit and loss of entanglement of the catalysts per se. As such, the…

量子物理 · 物理学 2015-06-26 Wei Song , Yan Huang , Nai-Le Liu , Zeng-Bing Chen

We provide an upper bound on the maximal entropy rate at which the entropy of the expected density operator of a given ensemble of two states changes under nonlocal unitary evolution. A large class of entropy measures in considered, which…

数学物理 · 物理学 2022-01-03 Anna Vershynina

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. The main emphasis of these investigations is on the deterministic, or probabilistic…

量子物理 · 物理学 2018-08-09 David Sauerwein , Katharina Schwaiger , Barbara Kraus

The degree of entanglement is determined for an arbitrary state of a broad class of PT-symmetric bipartite composite systems. Subsequently we quantify the rate with which entangled states are generated and show that this rate can be…

高能物理 - 理论 · 物理学 2013-05-23 Christian Zielinski , Qing-hai Wang

We analyze approximate transformations of pure entangled quantum states by local operations and classical communication, finding explicit conversion strategies which optimize the fidelity of transformation. These results allow us to…

量子物理 · 物理学 2009-10-31 Guifre Vidal , Daniel Jonathan , M. A. Nielsen

Quantum entanglement of pure states is usually quantified via the entanglement entropy, the von Neumann entropy of the reduced state. Entanglement entropy is closely related to entanglement distillation, a process for converting quantum…

量子物理 · 物理学 2021-10-06 Tulja Varun Kondra , Chandan Datta , Alexander Streltsov

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

We show that all multi-partite pure states can, under local operations, be transformed into bi-partite pairwise entangled states in a "lossless fashion": An arbitrary distinguished party will keep pairwise entanglement with all other…

量子物理 · 物理学 2015-05-13 Dong Yang , Jens Eisert

We study rates asymptotic of transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known that additive asymptotically continuous entanglement measures…

量子物理 · 物理学 2021-07-20 Péter Vrana

We show that entanglement-assisted transformations of bipartite entangled states can be more efficient than catalysis [D. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 3566 (1999)}, i.e., given two incomparable bipartite states not only…

量子物理 · 物理学 2009-11-07 Somshubhro Bandyopadhyay , Vwani Roychowdhury

Entanglement swapping, the process to entangle two particles without coupling them in any way, is one of the most striking manifestations of the quantum-mechanical nonlocal characteristic. Besides fundamental interest, this process has…

We investigate multipartite entanglement in relation to the theoretical process of quantum state exchange. In particular, we consider such entanglement for a certain pure state involving two groups of N trapped atoms. The state, which can…

量子物理 · 物理学 2009-11-07 D. T. Pope , G. J. Milburn

A key problem in quantum information science is to determine optimal protocols for the interconversion of entangled states shared between remote parties. While for two parties a large number of results in this direction is available, the…

量子物理 · 物理学 2025-05-26 Alexander Streltsov

I show that two distant parties can transform pure entangled states to arbitrary pure states by stochastic local operations and classical communication (SLOCC) at the single copy level, if they share bound entangled states. This is the…

量子物理 · 物理学 2007-05-23 Satoshi Ishizaka

Without additional resources, it is often impossible to transform one entangled quantum state into another with local quantum operations and classical communication. Jonathan and Plenio [Phys. Rev. Lett. 83, 3566(1999)] presented an…

量子物理 · 物理学 2007-05-23 Xiaoming Sun , Runyao Duan , Mingsheng Ying

Among the most fundamental questions in the manipulation of quantum resources such as entanglement is the possibility of reversibly transforming all resource states. The key consequence of this would be the identification of a unique…

量子物理 · 物理学 2024-04-18 Bartosz Regula , Ludovico Lami

For two given bipartite-entangled pure states, an expression is obtained for the least upper bound of conversion probabilities using catalysis. The attainability of the upper bound can also be decided if that bound is less than one.

量子物理 · 物理学 2007-09-19 S. Turgut