Editing Full Quantum state tomography with Linear Inversion (section)

==Properties==
* '''The figure of merit''': Density Matrix of the quantum state
*  Multiple copies of the quantum state are required in this method.
* The measurement basis <math>E_j</math> should be chosen such that <math>A_{jk}</math> is invertible to calculate the density matrix. Hence, <math>E_j</math> should be tomographically complete.
* This method is extremely resource-intensive.
* The main drawback of this technique is that sometimes the computed solution of the density matrix will not be a valid density matrix. This issue occurs when not enough measurements are made. Due to this drawback, the [[maximum likelihood estimation]] technique is preferred over this linear inversion technique.
* Another drawback of this method is that an infinite number of measurement outcomes would be required to give the exact solution.
* State preparation and measurement errors are taken into consideration in this method. The measurement errors are tackled by increasing the accuracy of the measuring apparatus.
* Error from counting statistics can also occur which are reduced by performing the measurements on a larger ensemble.
* Drift error can occur either in the state produced or the efficiency of the detection system and it can constrain data collection time.
* In addition to the mentioned errors, each experimental implementation can have its own unique errors.