量子光学中的连续变量分数阶Hadamard变换
Fractional Hadamard transform with continuous variables in the context of quantum optics
摘要:
我们引入了连续变量的量子分数Hadamard变换。结果表明,相应的量子分数Hadamard算符可以分解为一个单模分数算符和两个单模压缩算符。利用二体纠缠态表象将这一方法推广到纠缠态的情形。新的变换提供了更大的灵活性,以代表信号的分数Hadamard域提供额外的自由度的角度和两个压缩参数。
英文摘要:
We introduce the quantum fractional Hadamard transform with continuous variables. It is found that the corresponding quantum fractional Hadamard operator can be decomposed into a single-mode fractional operator and two single-mode squeezing operators. This is extended to the entangled case by using the bipartite entangled state representation. The new transformation presents more flexibility to represent signals in the fractional Hadamard domain with extra freedom provided by an angle and two-squeezing parameters.
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