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Optical Tomography for Single- and Two-Mode Squeezed Chaotic Fields
Authors:Xiang-Guo Meng  Ye-Jun Xu
Affiliation:1. School of Physical Science and Information Engineering, Liaocheng University, Liaocheng, 252059, China
2. Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng, 252059, China
3. Department of Mechanical and Electronic Engineering, Chizhou University, Chizhou, Anhui, 247000, China
Abstract:Different from the previous methods of obtaining optical tomography of quantum states, in this paper we use the Radon transform between the single- (two-)mode Wigner operator and the pure-state density operator |q f,g f,g q| (|η,τ 1,τ 2〉〈η,τ 1,τ 2|) to analytically obtain optical tomograms for single- (two-)mode squeezed chaotic fields, where the states |q f,g (|η,τ 1,τ 2〉) refer to the newly introduced intermediate coordinate-momentum (entangled) states. More interestingly, we find that the tomograms of squeezed chaotic fields and those of coherent states are related by a integration. Thus, we establish a new convenient approach of obtaining tomograms for quantum states.
Keywords:
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