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arXiv:quant-ph/0302068 · Physical Review A

Experiment towards continuous-variable entanglement swapping: Highly correlated four-partite quantum state

O. Glöckl, Stefan Lorenz, Christoph Marquardt, J. Heersink, Michael Brownnutt, Christine Silberhorn, Qing Pan, Peter van Loock, Natalia Korolkova, Gerd Leuchs

Published Jul 22, 2003• 67 citations
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Abstract

We present a protocol for performing entanglement swapping with intense pulsed beams. In a first step, the generation of amplitude correlations between two systems that have never interacted directly is demonstrated. This is verified in direct detection with electronic modulation of the detected photocurrents. The measured correlations are better than expected from a classical reconstruction scheme. In an entanglement swapping process, a four-partite entangled state is generated. We prove experimentally that the amplitudes of the four optical modes are quantum correlated 3 dB below shot noise, which is consistent with the presence of genuine four-party entanglement.

DOI
10.1103/physreva.68.012319

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We present a protocol for performing entanglement swapping with intense pulsed beams. In a first step, the generation of amplitude correlations between two systems that have never interacted directly is demonstrated. This is verified in direct detection with electronic modulation of the detected photocurrents. The measured correlations are better than expected from a classical reconstruction scheme. In an entanglement swapping process, a four-partite entangled state is generated. We prove experimentally that the amplitudes of the four optical modes are quantum correlated 3 dB below shot noise, which is consistent with the presence of genuine four-party entanglement.
The unconditional entanglement swapping for continuous variables is experimentally demonstrated. Two initial entangled states are produced from two nondegenerate optical parametric amplifiers operating at de-amplification. Through implementing the direct measurement of the Bell-state between two optical beams from each amplifier the remaining two optical beams, which have never directly interacted with each other, are entangled. The quantum correlation degrees of 1.23 and 1.12 dB below the shot noise limit for the amplitude and phase quadratures resulting from the entanglement swapping are measured straightly.
A pair of entangled states of light with classical coherence and independent quantum fluctuations has been produced from two home-designed and home-made non-degenerate optical parametric amplifiers. Utilizing these entangled states we have experimentally demonstrated unconditional entanglement swapping for continuous variables, i.e. quantum teleportation of an entangled state. Based on the direct detection of Bell states and entanglement collapse, two optical beams which have never directly interacted with each other are entangled together. The degrees of quantum correlation resulting from the entanglement swapping have been determined by direct measurement to be 1.23dB and 1.12dB below the shot noise limit for the amplitude and phase quadratures, respectively. The theoretical calculation and experimental measurements are in reasonable agreement.
We propose a new and experimentally realizable continuous variable quantum communication protocol named tripartite entanglement swap-ping. Three optical modes, which are not in a tripartite entangled state initially, can be entangled by means of the direct detections of Bell-states, the amplitude and phase modulators, and the beamsplitters. The initial bipartite and tripartite entangled states are produced with the bright single mode quadrature squeezed state of light and linear optics. We analystically proved that tripartite entanglement swapping can be accomplished with two schemes in which a tripartite entangled state or two bipartite entangled states serve as quantum channel respectively. The direct detection of Bell-state is applied in the proposed schemes, thus the needs for local beams used in homodyne detectors and the trouble for mode matching are significantly avoided.
A scheme achieving quantum entanglement swapping between two pairs of bright EPR optical beams is theoretically proposed. Two pairs of coherent EPR beams are produced from two independent nondegenerate optical parametric amplifiers. The entanglement swapping is demonstrated by means of a half of each EPR beam. The measuring process entangles other two halves of EPR beams that have never directly interacted with each other. In the proposed system, the direct detection of Bell-states is applied instead of usual homodyne detetion. Due to that the local oscillator is not needed, the technic trouble for mode-matching is overcome and the efficiency of the detection can be increased in experiments.
We experimentally prepare a type of continuous variable genuine four-partite entangled states, the quantum correlation property of which is different from that of the four-mode Greenberger-Horne-Zeilinger and cluster states, and which has not any qubit counterpart to be proposed at present. In the criterion inequalities for the full inseparability of the genuine four-partite entangled states, the amplitude and phase quadrature correlation variances totally consisting of three-party combination from the four entangled modes are involved. The measured correlation variances among the quadratures of the prepared entangled states satisfy the sufficient requirements for the full inseparability.