Fock空间中基于波色双模指数二次型算符的连续变量纠缠态的量子涨落特性

利用线性量子变换理论（LQTT），导出在Fock空间中连续变量两体纠缠态的量子涨落计算的一般公式，并讨论此纠缠态的压缩特性。通过线性拟合的方法，得到当涨落度和纠缠熵分别出现极值时，态参数之间关系。结果显示当达到较大纠缠时，该态的压缩程度也较大，除此以外还得到了涨落度随参数和纠缠熵的变化关系。同时举例说明此公式在计算双模压缩真空态和单边双模压缩真空态的量子涨落中的应用。

Quantum fluctuation properties of continuous-variable entangled state based on general two-mode Boson exponential quadratic operator in Fock space

By virtue of the linear quantum transformation theory(LQTT), a general formula is obtained, which calculate the quantum fluctuations for bipartite entangled state of continuous variables in Fock space. Moreover, the squeezed properties of the entangled state are discussed. The relations between the state parameters are depicted by means of the linear fitting, when the degree of the fluctuation and entanglement entropy reach the extremum. When the entangled state is maximally entangled, the results show that the squeezed degree is also maximaL In addition, the changing relationship between the quantum fluctuations and the quantum entanglement is acquired. The derived formula are used to calculate the fluctuation of the common two-mode squeezed vacuum state and the two-mode one-sided squeezed vacuum state as examples.