Abstract
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.
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