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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…

Quantum Physics · Physics 2009-10-31 Fumiaki Morikoshi

In the following manuscript we propose a quaternionic map which transforms a single quantum state into a bipartite entanglement. Until now such a transformation has not been defined yet. To define such a map, we embed one particle state…

Quantum Physics · Physics 2021-11-11 Lidia Obojska

We analyze a class of entangled states for bipartite $d \otimes d$ systems, with $d$ non-prime. The entanglement of such states is revealed by the construction of canonically associated entanglement witnesses. The structure of the states is…

Quantum Physics · Physics 2009-11-13 M. Piani , C. Mora

In this paper, a new measure of entanglement for general pure bipartite states of two qutrits is formulated.

Quantum Physics · Physics 2007-05-23 Jose L. Cereceda

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

Quantum Physics · Physics 2009-11-13 H. -C. Lin , A. J. Fisher

We present a one-step deterministic entanglement purification protocol with linear optics and postselection. Compared with the Simon-Pan protocol (Phys. Rev. Lett. 89, 257901 (2002)), this one-step protocol has some advantages. First, it…

Quantum Physics · Physics 2011-08-09 Yu-Bo Sheng , Fu-Guo Deng

We present a new method of analytically deriving the entanglement of formation of the bipartite mixed state. The method realizes the optimal decomposition families of states. Our method can lead to many new results concerning entanglement…

Quantum Physics · Physics 2007-10-16 Lin Chen , Yi-Xin Chen

The ``entanglement of formation'' of a mixed state of a bipartite quantum system can be defined in terms of the number of pure singlets needed to create the state with no further transfer of quantum information. We find an exact formula for…

Quantum Physics · Physics 2009-01-23 Scott Hill , William K. Wootters

Suppose two distant observers Alice and Bob share a pure bipartite quantum state. By applying local operations and communicating with each other using a classical channel, Alice and Bob can manipulate it into some other states. Previous…

Quantum Physics · Physics 2008-02-03 Hoi-Kwong Lo , Sandu Popescu

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

Purity testing protocols (PTPs), i.e., protocols that decide with high probability whether or not a distributed bipartite quantum state is maximally entangled, have been proven to be a useful tool in many quantum communication applications.…

Quantum Physics · Physics 2026-05-13 Róbert Trényi , Simeon Ball , David G. Glynn , Marcos Curty

We show that entanglement guarantees difficulty in the discrimination of orthogonal multipartite states locally. The number of pure states that can be discriminated by local operations and classical communication is bounded by the total…

Quantum Physics · Physics 2009-11-11 M. Hayashi , D. Markham , M. Murao , M. Owari , S. Virmani

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…

Quantum Physics · Physics 2016-12-14 C. Spee , J. I. de Vicente , B. Kraus

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…

Quantum Physics · Physics 2007-05-23 Berry Groisman

The most general quantum object that can be shared between two distant parties is a bipartite channel, as it is the basic element to construct all quantum circuits. In general, bipartite channels can produce entangled states, and can be…

Quantum Physics · Physics 2021-06-29 Gilad Gour , Carlo Maria Scandolo

A necessary and sufficient condition for the maximal entanglement of bipartite nonorthogonal pure states is found. The condition is applied to the maximal entanglement of coherent states. Some new classes of maximally entangled coherent…

Quantum Physics · Physics 2009-11-07 Hongchen Fu , Xiaoguang Wang , Allan I Solomon

We propose a strictly local quantum tomography protocol for a bipartite system. We show that the joint density matrix of an arbitrary two-mode Gaussian state, entangled or not, is obtained via local operations and classical communication…

Quantum Physics · Physics 2009-11-13 Gustavo Rigolin , Marcos C. de Oliveira

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus

The optimal entanglement manipulation for a single copy of mixed states of two qubits is to transform it to a Bell diagonal state. In this paper we derive an explicit form of the local operation that can realize such a transformation. The…

Quantum Physics · Physics 2009-11-07 Li-Xiang Cen , Nan-Jian Wu , Fu-Hua Yang , Jun-Hong An

The majorization relation has been shown to be useful in classifying which transformations of jointly held quantum states are possible using local operations and classical communication. In some cases, a direct transformation between two…

Quantum Physics · Physics 2013-05-29 Sumit Daftuar , Matthew Klimesh