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Traditional method for measuring continuous-variable quantum entanglementrelies on balanced homodyne detections, which are sensitive to vacuum quantumnoise coupled in through losses resulted from many factors such as detector'squantum efficiency and mode mismatching between detected field and localoscillator. In this paper, we propose and analyze a new measurement method,which is realized by assisting the balanced homodyne detections with a highgain phase sensitive parametric amplifier. The employment of the high gainparametric amplifier helps to tackle the vacuum quantum noise originated fromdetection losses. Moreover, because the high gain parametric amplifier cancouple two fields of different types in a phase sensitive manner, the proposedscheme can be used to reveal quantum entanglement between two fields ofdifferent types by using only one balanced homodyne detection. Furthermore,detailed analysis shows that in the multi-mode case, the proposed scheme isalso advantageous over the traditional method. Such a new measurement methodshould find wide applications in quantum information and quantum metrologyinvolving measurement of continuous variables.

Measuring the continuous variable quantum entanglement with a parametric amplifier assisted homodyne detection