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Chinese Physics

Preparation of entangled squeezed states and quantification of their entanglement

Cai Xinhua, Kuang Le-Man

Published Aug 22, 2002• 21 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 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.

DOI
10.1088/1009-1963/11/9/304

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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.
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Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, N. Fortunately, it is still possible to investigate a many-particle entanglement when the state of the system possesses sufficient symmetry. In this paper, we present a practical method for efficiently computing various bipartite entanglement measures for states in the symmetric subspace and perform these calculations for $N\ensuremath{\sim}{10}^{3}.$ By considering all possible bipartite splits, we construct a picture of the multiscale entanglement in large symmetric systems. In particular, we characterize dynamically generated spin-squeezed states by comparing them to known reference states (e.g., Greenberger-Horne-Zeilinger and Dicke states), and families of states with near-maximal bipartite entropy. We quantify the trade-off between the degree of entanglement and its robustness to particle loss, emphasizing that substantial entanglement need not be fragile.