Abstract
Based on total variance of a pair of Einstein–Podolsky–Rosen (EPR) typeoperators, the generalized EPR entangled states in continuous variablesystems are defined. We show that such entangled states must correspondto two-mode squeezing states whether these states are Gaussian or notand whether they are pure or not. With help of the relation between thetotal variance and the entanglement, the degree of such entanglement isalso defined. Through analysing some specific cases, we see that thismethod is very convenient and easy in practical applications. Inaddition, an entangled state with no squeezing is studied, which revealsthat there certainly exists something unknown about entanglement incontinuous variable systems.
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