Discrete Wigner Function Reconstruction and Compressed Sensing
  A new reconstruction method for Wigner function is reported for quantum tomography based on compressed sensing. By analogy with computed tomography, Wigner functions for some quantum states can be reconstructed with less measurements utilizing this compressed sensing based method. 
Jia-Ning Zhang, Lei Fang, Mo-Lin Ge
quant-ph cond-mat.other cs.IT math.IT