Single-Mode Excited GHZ-type Entangled Coherent State

Abstract

A class of the single-mode excited GHZ-type entangled coherent states (EGHZECSs) are presented. we exhibit the remarkable properties of the single-mode EGHZECSs, depended on the excitation photon number, such as entanglement and nonlocality via investigating their concurrence of entanglement and examining their violation of CHSH inequality. Finally, we propose how to generate the EGHZECSs by using cavity QED and quantum measurement and by using BBO crystal and single-photon detection technique, respectively.

Review of entangled coherent states

“…As with propagating fields interacting with a Kerr medium, exotic entangled coherent states such as Greenberger-Horne-Zeilinger, W [122] and cluster-type entangled coherent states, can also be created in cavities [51,54,[123][124][125]. Modified entangled coherent states, such as the "single-mode excited entangled coherent states", could also be created in a cavity quantum electrodynamics setting [69].…”

“…Generalizations to multimode systems allows the intricacies of multipsartite entanglement to become manifest in entangled coherent states, for example in Greenberger-Horne-Zeilinger and W types of states [50,51] and entangled coherent state versions of cluster states [52][53][54].…”

Photon-Subtracted Two-Mode Squeezed Thermal State and Its Photon-Number Distribution

“…Distribution functions in phase space have been a major topics in studying quantum optics and quantum statistics [1][2][3][4][5][6][7][8]. It is well known the photons of a radiation field are distributed among various states of the field.…”

Nonclassicality of Single-Variable Hermite Polynomial State and Its Fidelity with Squeezed Vacuum State

“…On the other hand, a class of nonclassical states, generated by applying appropriate operators on certain states, have also attracted much attention, such as excited coherent state (photon-added coherent state) [11,12], excited single-mode squeezed vacuum state [13,14], excited pair coherent state [15,16], excited entangled coherent state [17,18], and so on. These states are of particular interest since they exhibit quite significant and unusual physical properties.…”