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Entanglement in incoherent mixtures of pure states of two qubits is considered via the concurrence measure. A set of pure states is optimal if the concurrence for any mixture of them is the weighted sum of the concurrences of the generating…

Quantum Physics · Physics 2011-08-11 K. V. Shuddhodan , M. S. Ramkarthik , Arul Lakshminarayan

A system of three or four particle can be entangled in a number of different ways. It may be the case that only subsets of the particles are entangled, and these subsets are not entangled with each other. It may also be the case that the…

Quantum Physics · Physics 2026-04-02 Mark Hillery

The basic entanglement-swapping scheme can be seen as a process which allows to redistribute the Bell states' properties between different pairs of a four qubits system. Achieving the task requires performing a von Neumann measurement,…

Quantum Physics · Physics 2013-11-27 Ariana Muñoz , Gesa Grüning , Luis Roa

We propose a method to refine entanglement via swapping from a pair of squeezed vacuum states by performing the Bell measurement of number sum and phase difference. The resultant states are maximally entangled by adjusting the two squeezing…

Quantum Physics · Physics 2009-11-07 Akira Kitagawa , Katsuji Yamamoto

The basic \emph{entanglement swapping protocol} allows to project two qubits, which have never interacted, onto a maximally entangled state. For deterministic swapping, the key ingredient is the maximal entanglement that was initially…

We classify multipartite entanglement in a unified manner, focusing on a duality between the set of separable states and that of entangled states. Hyperdeterminants, derived from the duality, are natural generalizations of entanglement…

Quantum Physics · Physics 2007-05-23 Akimasa Miyake , Miki Wadati

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…

Quantum Physics · Physics 2020-08-26 A. Streltsov , C. Meignant , J. Eisert

For a tripartite pure state superposed by two individual states, the bipartitely shared entanglement can always be achieved by local measurements of the third party. Consider the different aims of the third party, i.e. maximizing or…

Quantum Physics · Physics 2009-11-13 Chang-shui Yu , X. X. Yi , He-shan Song

In this paper, we consider the problem of how to quantify entanglement for any multipartite quantum states. For bipartite pure states partial entropy is a good entanglement measure. By using partial entropy, we firstly introduce the…

Quantum Physics · Physics 2007-06-13 Zongwen Yu , Su Hu , Chunlei Zhang

Entanglement swapping is a key primitive for distributing entanglement across nodes in quantum networks. In standard protocols, the outcome of the intermediate measurement determines the resulting state, making the process inherently…

Quantum Physics · Physics 2026-01-14 Mir Alimuddin , Jaemin Kim , Antonio Acín , Leonardo Zambrano

A complete analysis of entangled bipartite qutrit pure states is carried out based on a simple entanglement measure. An analysis of all possible extremally entangled pure bipartite qutrit states is shown to reduce, with the help of SLOCC…

Quantum Physics · Physics 2009-11-11 Feng Pan , Guoying Lu , J. P. Draayer

While there exist theories that have states "more strongly entangled" than quantum theory, in the sense that they show CHSH values above Tsirelson's bound, all known examples of such theories have a strictly smaller set of measurements.…

Quantum Physics · Physics 2024-09-04 Lionel J. Dmello , Laurens T. Ligthart , David Gross

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…

Quantum Physics · Physics 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

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…

Quantum Physics · Physics 2007-05-23 An Min Wang

There has been much discussion recently regarding entanglement transformations in terms of local filtering operations and whether the optimal entanglement for an arbitrary two-qubit state could be realised. We introduce an experimentally…

Quantum Physics · Physics 2009-11-07 R. T. Thew , W. J. Munro

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…

Quantum Physics · Physics 2023-07-17 Sunho Kim , Chunhe Xiong , Shunlong Luo , Asutosh Kumar , Junde Wu

We establish contact between the delocalization properties of pure quantum states, as quantified by their number of principal components, and the average generalized entanglement properties, as quantified by purity measures relative to…

Quantum Physics · Physics 2009-11-13 Lorenza Viola , Winton G. Brown

Entanglement is a resource under local operations assisted by classical communication (LOCC). Given a set of states $S$, if there is one state in $S$ that can be transformed by LOCC into all other states in $S$, then this state is maximally…

Quantum Physics · Physics 2024-07-31 Julio I. de Vicente

Bipartite entanglement purification is the conversion of copies of weakly entangled pairs shared between two separated parties into a smaller number of strongly entangled shared pairs using only local operations and classical communication.…

Quantum Physics · Physics 2025-11-14 Matthew Barber , Stefano Pirandola

We introduce generalized cat states for d-level systems and obtain concise formulas for their entanglement swapping with generalized Bell states. We then use this to provide both a generalization to the d-level case and a transparent proof…

Quantum Physics · Physics 2009-11-07 Vahid Karimipour , Saber Bagherinezhad , Alireza Bahraminasab