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Acta Sinica Quantum Optica

Construction of Like-Control-Not Gate with Raman Interaction

Changyong Chen, Shaohua Li

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

First, two-modes SU(2) coherent state of the cavity is prepared by a parametric frequency Conversion process. Second, a Λ-type three-level atom is injected in the cavity, leading to the interaction of the atoms and the cavity. Then the atom-cavity-field entanglement is created by atom-field Raman interaction between the atoms and the cavity field, and through the selective measurement of the atoms, the atom-field states collapse into odd or even SU(2) coherence states. Therefore, we can encode respectively the atomic levels and the odd and even coherence states into goal and control quantum bits and thus construct deterministically the like-control-not gate by use of the Raman interaction between the atoms and the fields.

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Generation of Superpositions of Coherent States Along a Straight Line via Raman Interaction

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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.

Communications in Theoretical Physics•Dec 1, 2005•1 citation
First, two-modes SU(2) coherent state of the cavity is prepared by a parametric frequency Conversion process. Second, a Λ-type three-level atom is injected in the cavity, leading to the interaction of the atoms and the cavity. Then the atom-cavity-field entanglement is created by atom-field Raman interaction between the atoms and the cavity field, and through the selective measurement of the atoms, the atom-field states collapse into odd or even SU(2) coherence states. Therefore, we can encode respectively the atomic levels and the odd and even coherence states into goal and control quantum bits and thus construct deterministically the like-control-not gate by use of the Raman interaction between the atoms and the fields.
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.