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Journal of Jiangxi Normal University

Generation of Entangled W State via Entangled GHZ State in the Single Mode Cavity Field

Qingqiang Kuang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Entangled W state can be applied to quantum information processing in the quantum entanglement,and presented a scheme generation of entangled W state via entangled GHZ state in the single mode cavity field.Three two-level atoms(1,2,3) initially in the W entanglement state,then two atoms 2 and 3 are injected into single mode cavity field to make interaction,while atom 1 is far from the cavity field.The result shows that entangled W state can be generated by manipulating the interactions between cavity field and two atoms in appropriate coupling coefficients when atom 1 is be detected.

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Entangled W state can be applied to quantum information processing in the quantum entanglement,and presented a scheme generation of entangled W state via entangled GHZ state in the single mode cavity field.Three two-level atoms(1,2,3) initially in the W entanglement state,then two atoms 2 and 3 are injected into single mode cavity field to make interaction,while atom 1 is far from the cavity field.The result shows that entangled W state can be generated by manipulating the interactions between cavity field and two atoms in appropriate coupling coefficients when atom 1 is be detected.
The wave functions of the systems are derived by using a Λ type three-level atom or a V type three-level atom interacting resonantly with two-mode field in pure number state. Through changing the interaction time, we can find that this system will generate entangled GHZ state in appropriate coupling coefficients, and the coupling coefficients while that the time of generating entangled GHZ state will change with the variation of system state. This feasible scheme is proposed to generate entangled GHZ state.
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).
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.