New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique
New Approach for Calculating Tomograms of Quantum States by Virtue of the IWOP Technique
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DOI：
10.1088/0253-6102/47/3/010
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发表时间：
2007-03
影响因子：
3.1
通讯作者：
Hong-Yi Fan;Ji-Suo Wang
中科院分区：
文献类型：
--
作者：
Hong-Yi Fan;Ji-Suo Wang
我们证明了在层析方法中存在两个相互共轭的量子态|p、σ、τ和|x，μ，ν（称为中间坐标-动量表象）和Wigner算符的两个Radon变换就是纯态密度矩阵|pσ，τσ，τp|和|xλ，νλ，νx|分别因此，量子态的层析图像可以看作是这两种表示中态的波函数的模平方。在整个文件中，我们充分利用技术的集成内的有序产品的运营商。这样，我们建立了一个新的方便的形式化的量子层析图像。
We show that for tomographic approach there exist two mutual conjugate quantum states |p,σ,τ and |x,μ,ν (named the intermediate coordinate-momentum representation), and the two Radon transforms of the Wigner operator are just the pure-state density matrices |pσ,τσ,τp| and |xλ,νλ,νx| respectively. As a result, the tomogram of quantum states can be considered as the module-square of the states' wave function in these two representations. Throughout the paper we fully employ the technique of integration within an ordered product of operators. In this way we establish a new convenient formalism of quantum tomogram.