Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters

doi:10.1088/1674-1056/23/2/024208

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 24208-024208.doi: 10.1088/1674-1056/23/2/024208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters

K. Berrada^{a b c}

a Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;
b The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;
c Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Av. Ibn Battouta, B. P. 1014, Agdal Rabat, Morocco

收稿日期:2013-04-20 修回日期:2013-06-17 出版日期:2013-12-12 发布日期:2013-12-12

Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters

K. Berrada^{a b c}

a Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;
b The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;
c Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Av. Ibn Battouta, B. P. 1014, Agdal Rabat, Morocco

Received:2013-04-20 Revised:2013-06-17 Online:2013-12-12 Published:2013-12-12
Contact: K. Berrada E-mail:kberrada@ictp.it
About author:42.50.Dv; 03.67.-a; 03.65.Ud; 03.65.Ca

摘要/Abstract

摘要： In this paper, we construct photon-added f-deformed coherent states (PAf-DCSs) for nonlinear bosonic fields by discussing Klauder’s minimal set of conditions required to obtain coherent states. Using this set of nonlinear states, we propose a very useful scheme for generating the maximal amount of entanglement via unitary beam splitters for different strength regimes of the input field α, deformation q and excitation number m. Therefore, the possibility to create highly entangled states and to control the entanglement is proposed. Moreover, the condition for a maximal and separable output beam state is obtained. Finally, we examine the statistical properties of the PAf-DCSs through the Mandel parameter and exploit a connection between this quantity and the behavior variation of the output state entanglement. Our result may open new perspectives in different tasks of quantum information processing.

关键词: photon-added nonlinear coherent states, beam splitter, linear entropy, entanglement, statistical properties

Abstract: In this paper, we construct photon-added f-deformed coherent states (PAf-DCSs) for nonlinear bosonic fields by discussing Klauder’s minimal set of conditions required to obtain coherent states. Using this set of nonlinear states, we propose a very useful scheme for generating the maximal amount of entanglement via unitary beam splitters for different strength regimes of the input field α, deformation q and excitation number m. Therefore, the possibility to create highly entangled states and to control the entanglement is proposed. Moreover, the condition for a maximal and separable output beam state is obtained. Finally, we examine the statistical properties of the PAf-DCSs through the Mandel parameter and exploit a connection between this quantity and the behavior variation of the output state entanglement. Our result may open new perspectives in different tasks of quantum information processing.

Key words: photon-added nonlinear coherent states, beam splitter, linear entropy, entanglement, statistical properties

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

03.67.-a (Quantum information) 03.65.Ud (Entanglement and quantum nonlocality) 03.65.Ca (Formalism)

K. Berrada. Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters[J]. 中国物理B, 2014, 23(2): 24208-024208.

K. Berrada. Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters[J]. Chin. Phys. B, 2014, 23(2): 24208-024208.

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Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters

Maximal entanglement from photon-added nonlinear coherent states via unitary beam splitters

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