Quantum state tomography of molecules by ultrafast diffraction
Ming Zhang, Shuqiao Zhang, Yanwei Xiong, Hankai Zhang, Anatoly, A.Ischenko, Oriol Vendrell, Xiaolong Dong, Xiangxu Mu, Martin Centurion,, Haitan Xu, R.J.Dwayne Miller, Zheng Li

TL;DR
This paper introduces a novel quantum state tomography method for molecules using ultrafast diffraction, enabling detailed visualization of molecular quantum states and dynamics at atomic resolution.
Contribution
It presents a new framework for preparing and measuring molecular quantum states via ultrafast electron diffraction, expanding quantum state tomography to molecules with arbitrary degrees of freedom.
Findings
Reconstruction of molecular density matrices from diffraction data
Visualization of quantum dynamics in molecules
Framework applicable to molecules of arbitrary complexity
Abstract
Ultrafast electron diffraction and time-resolved serial crystallography are the basis of the ongoing revolution in capturing at the atomic level of detail the structural dynamics of molecules. However, most experiments employ the classical "ball-and-stick" depictions, and the information of molecular quantum states, such as the density matrix, is missing. Here, we introduce a framework for the preparation and ultrafast coherent diffraction from rotational wave packets of molecules, and we establish a new variant of quantum state tomography for ultrafast electron diffraction to characterize the molecular quantum states. The ability to reconstruct the density matrix of molecules of arbitrary degrees of freedom will provide us with an unprecedentedly clear view of the quantum states of molecules, and enable the visualization of effects dictated by the quantum dynamics of molecules.
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