We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new n-pair entangled state representation. The explicit form of the 2n-mode squeezing operator which squeezes the n-pair entangled state can be directly derived via the transition from to where M is an n × n complex matrix, and the technique of integration within an ordered product of operators. We also analyze the squeezing properties of the 2n-mode squeezed state for M being Hermitian, and obtain the variances of the 2n-mode quadrature operators in the 2n-mode squeezed vacuum state with a concise resu the condition for reaching the minimum of the uncertainty relationship is also investigated.
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