Temporal Quantum Imaging

With the rapid development of quantum information technology,quantum imaging emerges.Due to its advantages in imaging resolution,sensitivity,and robustness against disturbance,quantum imaging has attracted more and more attention.Recently,the temporal version of quantum imaging has been realized.In this paper,temporal quantum imaging is investigated.The main results of this dissertation are summarized as follows.1.The framework of temporal quantum imaging is summarized,including the classical optics and quantum optics aspects.In the part of classical optics,the space-time duality is given.The two differential equations which describe dispersive propagation of optical waveforms and diffraction of optical beams are equivalent mathematically.Propagation equations,lens,impulse response function in free space propagation,imaging relation and Fourier transform are analyzed in details.In the part of quantum optics,the Fock state,single-photon state,coherent state and thermal state are given.Then the correlation functions of light field are introduced.2.Imaging of temporal amplitude.Inspired by the idea of computational ghost imaging,we propose to detect a temporal signal based on computational temporal ghost imaging.Our scheme can greatly reduce requirements on bandwidth of detectors.In experiments,we retrieve a temporal signal with bandwidth of 20 MHz using a detector of 1k Hz bandwidth,which is much lower than the requirement on bandwidth of detector.The performance of our technique is also investigated under different detection bandwidths.3.The temporal Fourier imaging.Based on Fourier ghost imaging and space-time duality,we propose the computational temporal Fourier ghost imaging(CTFGI)scheme,in which the spectrum of input pulses or wavelength-time mapping can be achieved.Thus the CTFGI can be applied into spectrum measurement.Compared with traditional wavelength-time mapping method,the required length of dispersion fiber in CTFGI is greatly reduced.The spectrum resolution and the range of spectrum measurement are also investigated.4.The temporal holographic imaging.Here,we put forward robust holography via Hong-Ou-Mandel interference,which is suitable for both single-photon states and coherent states.The temporal holography information containing amplitude and phase distribution are reconstructed experimentally.By comparison between holography using first-order interference and second-order interference,the robustness against phase noise of our method is verified.Besides,retrieve process of the amplitude and phase information does not rely on complex algorithm.