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中国物理B：英文版

Preparation of entangled squeezed states and quantification of their entanglement

蔡新华, 匡乐满

Published Jun 12, 2005• 0 citations
Publisher

Abstract

We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-cummings model with large detuning.Bipartite entanglement of these entangled states is quantified by the concurrence.We also use the N-tangle to compupter multipartite entanglement of these multipartites entangled squeezed states.Finally we discuss two limiting cases which arise from r→∞and r→0,in which the multipartite entangled squeezed state reduces correspondingly into an N-qubit Greenberger-Horne-Zeilinger state and an N-qubit W state.

DOI
10.1088/1009-1963/11/9/004

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We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-cummings model with large detuning.Bipartite entanglement of these entangled states is quantified by the concurrence.We also use the N-tangle to compupter multipartite entanglement of these multipartites entangled squeezed states.Finally we discuss two limiting cases which arise from r→∞and r→0,in which the multipartite entangled squeezed state reduces correspondingly into an N-qubit Greenberger-Horne-Zeilinger state and an N-qubit W state.
We propose a scheme for generating bipartite and multipartite entangled squeezed states via the Jaynes-Cummings model with large detuning. Bipartite entanglement of these entangled states is quantified by the concurrence. We also use the N -tangle to compute multipartite entanglement of these multipartite entangled squeezed states. Finally we discuss two limiting cases which arise from r →∞ and r →0, in which the multipartite entangled squeezed state reduces correspondingly into an N -qubit Greenberger-Horne-Zeilinger state and an N -qubit W state.
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This paper considers a two-level atom interacting with two cavity modes with equal frequencies. Applying a unitary transformation, the system reduces to the analytically solvable Jaynes–Cummings model. For some particular field states, coherent and squeezed states, the transformation between the two bare bases, related by the unitary transformation, becomes particularly simple. It is shown how to generate (the highly non-classical) entangled coherent states of the two modes, both in the zero and large detuning cases. An advantage of the zero detuning case is that the preparation is deterministic and no atomic measurement is needed. For the large detuning situation, a measurement is required, leaving the field in either of two orthogonal entangled coherent states.
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In this report, we calculate the three tangle of assistance and give the corresponding best possible pure state decomposition of rank-two mixed states for the three-qubit Greenberger-Horne-Zeilinger (GHZ) state and WWW state. As the three tangle can be transformed into bipartite concurrence with assistance, we achieve a lower bound of the assisted concurrence with local operations and classical communication (LOCC) constraints via these pure state decompositions. It is smaller than the total assisted concurrence, which shows that local assistance alone is not sufficient for maximizing bipartite entanglement. The increase of three tangle is attributed to the genuine multipartite entanglement in the purified state. A genuine four-qubit entanglement measure is calculated for the purified four-qubit state and compared to the three tangle of assistance.