Discrete Wigner Function Reconstruction and Compressed Sensing

2011/09/03 by Zhang, Jia-Ning, Fang, Lei, Ge, Mo-Lin
#FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1109.0596

Abstract

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.

Related

• Characterizing quantum detectors by Wigner functions
• Discrete Wigner function and quantum-state tomography
• Quantum state reconstruction with binary detectors
• Quantum computation and analysis of Wigner and Husimi functions: Toward a quantum image treatment
• Maximum-likelihood algorithm for quantum tomography