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arXiv:quant-ph/0610217 · Journal of Physics B Atomic Molecular and Optical Physics

Entanglement reciprocation between atomic qubits and an entangled coherent state

Ling Zhou, Guo-Hui Yang

Published Nov 29, 2006• 21 citations
arXivHTMLPDF

Abstract

Introducing classical fields, we can completely transfer entanglement from discrete qubits to an entangled coherent state. The entanglement can also be retrieved from the continuous-variable state of the cavities to the atomic qubits. Via a postselection measurement, the atomic entangled state and entangled coherent state can be mutually transformed fully.

DOI
10.1088/0953-4075/39/24/011

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Introducing classical fields, we can completely transfer entanglement from discrete qubits to an entangled coherent state. The entanglement can also be retrieved from the continuous-variable state of the cavities to the atomic qubits. Via a postselection measurement, the atomic entangled state and entangled coherent state can be mutually transformed fully.
In this work, we study the transference of entanglement between atomic qubits and the fields of two separate optical cavities. We show that it is possible to transfer all the entanglement of two maximal entangled qubits to the fields of the cavities without post-selection. Initially, the qubit system is in a maximal entangled state and the cavities are in a pure separable state with each cavity in a coherent state. For high excitation levels in the coherent fields, at some characteristic time T, the state of the qubit system becomes separable and at this time all the entanglement is deposited on the mono-modal fields of the cavities. We also consider retrieval of entanglement and an alternative protocol using post-selection.
We investigate how entanglement can be transferred between qubits and continuous-variable (CV) systems. We find that one ebit borne in maximally entangled qubits can be fully transferred to two CV systems which are initially prepared in a pure separable Gaussian field with high excitation. We show that it is possible to retrieve the entanglement back to qubits from the entangled CV systems. The deposition of multiple ebits from qubits to the initially separable CV systems is also pointed out. We show that the entanglement transfer and retrieval are done at a quasisteady state.
We investigate entanglement reciprocation between atomic qubits and cavity fields initially in a thermal state. We show that the entanglement between the atomic qubits can be fully transferred to the mixed fields through displacement operation and resonant atom-cavity interaction. This is a rare example, in which quantum systems in mixed states can be used as the memory for entanglement. The entanglement can be retrieved by another atomic pair. Apart from fundamental interest, the results are useful for implementation of quantum networking with atom-field interface in the microwave regime.