Quantum repeater protocol using an arrangement of QED–optomechanical hybrid systems

Abstract

In this paper we consider the quantum repeater protocol for distributing the entanglement to two distant three-level atoms. In this protocol, we insert six atoms between two target atoms such that the eight considered atoms are labeled by 1, 2, • • • 8, while only each two adjacent atoms (i, i + 1) with i = 1, 3, 5, 7 are entangled. Initially, the separable atomic pair states (1,4) and (5,8) become entangled by performing interaction between atoms (2,3) and (6,7) in two optomechanical cavities, respectively. Then, via performing appropriate interaction between atoms (4,5) in an optical cavity quantum electrodynamics (QED) approach, the target atoms (1,8) are finally become entangled. Throughout this investigation, the effects of mechanical frequency and optomechanical coupling strength to the field modes on the produced entanglement and the related success probability are evaluated. It is shown that, the time period of produced entanglement can be developed by increasing the mechanical frequency. Also, maximum of success probability of atoms (1,8) is increased by decreasing the optomechanical coupling strength to the field modes in most cases.

Distributed entangled state production by using quantum repeater protocol

“…+ Note that the ket |0, 0 is related to optical and mechanical mode denoted by (a 1 , a † 1 ) and (b 1 , b † 1 ), respectively, also, the state | 1, 3 is related to atoms 4, 5. * To find differences between the results achieved in this paper and our previous work [28], the amounts of ω M and G in this paper have been selected similar to the parameters introduced in Ref. [28], so the presented figures 2(a), 2(b) and 3 are similar to figures 2, 3 in Ref.…”

“…* To find differences between the results achieved in this paper and our previous work [28], the amounts of ω M and G in this paper have been selected similar to the parameters introduced in Ref. [28], so the presented figures 2(a), 2(b) and 3 are similar to figures 2, 3 in Ref. [28].…”

“…In [27] we have investigated quantum repeater using coherent state by utilizing the beam splitter. Also, we have considered quantum repeater protocol for the QED-optomechanics hybrid system in [28]. In [29], we designed the repeater protocol which is partly in the presence of optomechanical cavity (OMC) to distribute the entangled state of atomic ions.…”

Transfer of Quantum States and Stationary Quantum Correlations in a Hybrid Optomechanical Network

“…For example, in Ref. [45], a quantum repeater protocol based on an arrangement of QED-optomechanical hybrid is proposed to distribute the entanglement between two distant three-level atoms. Another work [46] considers a hybrid optomechanical cooling with a three-level atomic ensemble fixed in a strongly excited optical cavity.…”

Distributing entangled state using quantum repeater protocol: Trapped atomic ions in optomechanical cavities

“…Quantum repeater has been investigated in different systems such as quantum dots [18,19], trapped ions [20], Rydberg gates [21] and photonic system [22]. We have already considered quantum repeater protocols based on atomic systems in the presence of optomechanical cavity (OMC) [23] as well as optical cavity in the absence [24] and presence of dissipation [25,26]. Also, the distribution of entangled coherent states between two locations using quantum repeater protocol has been investigated [10].…”