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Efficient Schemes for Generating GHZ-Type, W-Type and Cluster ECS of n-Cavity Coherent Fields

Saad Rfifi, Morad El-Baz

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

We establish a new model for realization of three qubit C-NOT gate operations between two Rydberg atoms and coherent Cavity field. To exploit this C-NOT realization, we enhance m any schemes for generation of GHZ-type and W-type entangled coherent state (ECS), to prepare n-cavities GHZ- type (ECS) and n-cavities W- type (ECS). Furthermore, we find the possibility of p reparing cluster entangled coherent states using the realized three qubit C-NOT gate. Our model compared with the references schemes generation is more efficient because of simplicity of detect ing coherent fields. Also, the rigidity of the model comes fro m the smaller interaction time needed to realize the three quantum entangled systems due to the proposed interaction.

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We establish a new model for realization of three qubit C-NOT gate operations between two Rydberg atoms and coherent Cavity field. To exploit this C-NOT realization, we enhance m any schemes for generation of GHZ-type and W-type entangled coherent state (ECS), to prepare n-cavities GHZ- type (ECS) and n-cavities W- type (ECS). Furthermore, we find the possibility of p reparing cluster entangled coherent states using the realized three qubit C-NOT gate. Our model compared with the references schemes generation is more efficient because of simplicity of detect ing coherent fields. Also, the rigidity of the model comes fro m the smaller interaction time needed to realize the three quantum entangled systems due to the proposed interaction.
A scheme was proposed to generate the W-type entangled coherent states of three-cavity fields, after comparing the differences between the discrete-variable quantum information and the continuous-variable quantum information and taking into account that coherent states were presently of practical use and readily available. The scheme was based on the degenerate Raman interaction of a Λ-type three-level atom with a single-mode field. Three identical cavities were in coherent states and three identical atoms shared a W-type entangled state initially. Let the three atoms interact with the three cavity fields respectively, selected a proper interaction time and detected the three atoms after exiting from their respective cavity. Then the three-cavity fields were projected onto a W-type entangled coherent states. During the atom-field interaction the atoms have no probability of being populated in the upper level, then the atomic spontaneous emissions could be neglected. Therefore, the coherence of the system might be better maintained. Based on current cavity quantum electrodynamics technique, the scheme could be realized experimentally. The W-type entangled coherent states generated was expected to be useful in the continuous-variable quantum information processing. The scheme was generalized to prepare the W-type entangled coherent states of n-cavity fields (n〉3).
A scheme of generating the Bell-type and cluster-type entangled coherent states(ECSs) via a single two-level atom and cavity modes initially prepared in coherent states is proposed.Discussions on the two ECSs are presented.When the atom interacts separately with two Ramsey zones and two cavity modes,the generation of Bell-type ECSs in separate cavities is realized after an atomic measurement.By adding the Ramsey zones and cavity modes,the cluster-type ECSs can be generated.The interaction time between the atom and cavity modes are allπ/2λ,where A is the effective atom-cavity coupling constant. At last the experimental feasibility of such proposal is discussed.
This paper proposes a scheme for the generation of entangled coherent states for two cavity modes. In the scheme a V-type three-level atom is sent through a two-mode cavity filled with a coherent field. After the atom–cavity interaction and detection of the atomic state the cavity modes may evolve to a superposition of two-mode coherent states. As the scheme is based on resonant atom–cavity interaction, the required interaction time is short, which is important in view of the decoherence. Moreover, additional classical pulses are unnecessary before and after the atom–cavity interaction.
We present a generation scheme for the cluster‐type entangled coherent state (CTECS) among four spatially separated cavities. CTECS is a continuous variable extension, proposed by Munhoz et al. [1], of the qubits‐based cluster state, which is known to be the basis of one‐way quantum computing model. In this work we show how such generation could be achieved in a simple way. We consider two types of interaction between atoms and the quantized cavity field; the first one using a three‐level atom, described by the degenerate Raman coupled model and the second one using the dispersive two‐level Jaynes‐Cummings model. Besides the flying atom, which interacts with the four cavities, the scheme also uses one or two Ramsey Zones (depending on the type of atom), where a classical field transforms the atom's internal energy levels in an appropriate way. After crossing the cavities, the atom has to be measured, and CTECS are generated irrespective of the atomic detection result. In addition to the generation scheme, we also study the effect of energy dissipation on the CTECS. Explicit equations for the time dependent density operator and the purity are given.
We propose two schemes for the generation of cluster states in the context of cavity quantum electrodynamics (QED). In the first scheme, we prepare multi-cavity cluster states with information encoded in the coherent states. The second scheme is to generate multi-atom cluster states, where qubits are represented by the states of cascade Rydberg atoms. Both the schemes are based on the atom-cavity interaction and the atomic spontaneous radiation can be efficiently reduced since the cavity frequency is largely detuned from the atomic transition frequency.