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ACTA PHOTONICA SINICA

Generation of W-type Entangled Coherent States of Three-cavity Field by Raman Interaction

Ma Song-She

Published Jan 1, 2007• 0 citations

Abstract

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).

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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).

We present an alternative scheme for preparing the superpositions of coherent states along a straight line of a cavity field using degenerate atom-cavity field Raman interaction. In the scheme, a collection of Λ-type three-level atoms is orderly sent through the cavity to interact with the cavity field adjusted by a microwave source connected to it, followed by state-selective measurements. In this way, we can prepare the superpositions of several coherent states along a straight line with arbitrary weighting factors for the cavity field. In the scheme, the coherence of the atom-cavity system may be maintained and the second microwave field is unnecessary, which is prior to the previous scheme.

In quantum communication and quantum computing, the Bell state acts as an important role.For two qubit of discrete variable, Bell state is composted by two orthogonal to each other's physical state of a physical system.For the physical system consisting of continuous variables, a scheme is presented for generating the quasi-Bell-states of entangled squeezed states by using the Raman interaction of an Λ-type three-level atom with squeezed vacuum states (SVS) cavity fields.In this scheme, an atom initially prepared in its ground state is injected in proper order into several cavities initially prepared each in the SVS.After the atom interacting with these cavities, the entanglement of atom-cavity-field is generated.Afterwards, by measuring the atom we obtain the quasi-Bell-states of the entangled squeezed states.Also, the entanglement properties of bipartite entangled quasi-Bell-states as well as multipartite entangled SVSs are discussed.

A scheme is proposed to teleportation of an unknown multi-atom entangled state, considering the entangled states of two or more particles play an important role in both demonstrating quantum nonlocality and quantum information processing. The scheme is based on the degenerate Raman interaction of a Λ-type three-level atom with a single-mode field. First let n atoms cross a coherent cavity field in succession to prepare a quantum channel. Then the sender lets the other n atoms which carry the unknown state cross the cavity in succession and makes a joint measurement by detecting the cavity field and the atoms separately. When ｜α｜1, the cavity field can be detected with the measurement method of detecting orthogonal states. Finally the receiver reconstructs the initial state according to the outcome of the joint measurement transmitted through a classical channel. The advantage of the scheme is that it uses an entangled state of a coherent state with n atoms as a quantum channel, which makes the scheme simple and easy. The scheme is expected to be useful in demonstrating quantum nonlocality and information processing.