Quantum Hadamard Operators and Their Decomposition Derived by Virtue of IWOP Technique

我们在连续统状态向量空间介绍量 Hadamard 操作符并且发现它能被分解成一个单个模式的压榨操作符和位置动量相互的变换操作员。在由两部组成的纠缠的州的表示的二模式的 Hadamard 操作员也被介绍，它包含二模式的压榨操作员和 |η ↔ ξ 相互的转变操作员，在 |η 和 ξ 是相互的的地方，结合纠缠的状态。所有讨论被 IWOP 技术的优点继续。

We introduce the quantum Hadamard operator in continuum state vector space and find that it can be decomposed into a single-mode squeezing operator and a position-momentum mutual transform operator. The two-mode Hadamard operator in bipartite entangled state representation is also introduced, which involves the two-mode squeezing operator and [η〉 ←→｜ξ〉 mutual transformation operator, where [η〉 and ｜ξ〉 are mutual conjugate entangled states. All the discussions are proceeded by virtue of the IWOP technique.