Least-squares inversion for density-matrix reconstruction

Details Least-squares inversion for density-matrix reconstruction Least-squares inversion for density-matrix reconstruction

1997-03-16

arxiv.org/abs/quant-ph/9703026v1

Physics

Quantum Physics

16 pages, REVTeX, 6 PS figures included

Scientific paper

10.1103/PhysRevA.56.1788

We propose a method for reconstruction of the density matrix from measurable time-dependent (probability) distributions of physical quantities. The applicability of the method based on least-squares inversion is - compared with other methods - very universal. It can be used to reconstruct quantum states of various systems, such as harmonic and and anharmonic oscillators including molecular vibrations in vibronic transitions and damped motion. It also enables one to take into account various specific features of experiments, such as limited sets of data and data smearing owing to limited resolution. To illustrate the method, we consider a Morse oscillator and give a comparison with other state-reconstruction methods suggested recently.

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