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Chinese Physics B

Unconditional preparation of multipartite continuous-variable entangled states among remote parties

胡雪元, Ying Gu, Gong Qi-Huang, Guo Guang-Can

Published May 1, 2010• 3 citations
Publisher

Abstract

We demonstrate that the n -partite continuous-variable entanglement can be unconditionally prepared among n parties that share no common past, from n two-mode squeezed states. Both GHZ-like and cluster-like states can be generated for any nonzero squeezing in the entangled sources. An application of the resulting multipartite entangled state to a teleportation network is illustrated.

DOI
10.1088/1674-1056/19/5/050305

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We demonstrate that the n -partite continuous-variable entanglement can be unconditionally prepared among n parties that share no common past, from n two-mode squeezed states. Both GHZ-like and cluster-like states can be generated for any nonzero squeezing in the entangled sources. An application of the resulting multipartite entangled state to a teleportation network is illustrated.
We show that one single-mode squeezed state distributed among N parties using linear optics suffices to produce a truly N-partite entangled state for any nonzero squeezing and arbitrarily many parties. From this N-partite entangled state, via quadrature measurements of N-2 modes, bipartite entanglement between any two of the N parties can be "distilled," which enables quantum teleportation with an experimentally determinable fidelity better than could be achieved in any classical scheme.
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First, we show how the quantum circuits for generating and measuring multi-party entanglement of qubits can be translated to continuous quantum variables. We derive sufficient inseparability criteria for NNN-party continuous-variable states and discuss their applicability. Then, we consider a family of multipartite entangled states (multi-party multi-mode states with one mode per party) described by continuous quantum variables and analyze their properties. These states can be efficiently generated using squeezed light and linear optics.
We present an example for broadcasting of the entanglement of a two-mode squeezed state of the electromagnetic field shared by two distant parties into two nonlocal bipartite entangled states. Using the technique of covariance matrices we demonstrate the entanglement between the nonlocal output modes and the separability of the local output modes. We find the range of values for the squeezing parameter and the amplifier phase for which broadcasting of continuous-variable entanglement can be implemented for physical states.
We suggest a continuous variable quantum conferencing network scheme with an entangled source in the middle. Here, the source generates a multipartite entangled state and distributes the modes of the state to an arbitrary number of legitimate network users. The entangled modes that were received and measured by the users share mutual information, which is utilized to generate secure conferencing key between users. The scheme is proven secure against collective attacks on both the untrusted source in the middle and all the quantum links. Simulation results show that the presented scheme can achieve high rate secure conferencing for 100 users within a 400 m-radius community or factory area.