Editing Full Quantum Process Tomography with Linear inversion (section)

==Outline==
Quantum process tomography is used to characterise an unknown quantum dynamical process. The general way to describe state change or a process experienced by a quantum system is by using quantum operations. This quantum process operation is a linear map which completely describes the dynamics of the quantum system.

This linear map can be described by an operator sum representation, where the map is broken down into different operators acting on the system. These different operators completely describe the state changes of the system including any possible unitary operations. It is convenient to consider an equivalent description of the process using a fixed set of these operators, so as to relate them to measurable parameters. 

This method consists of the following steps:
* For a system with the state space having <math>N</math> dimensions, A set of <math>N^2</math> linearly independent basis elements are selected and the corresponding quantum states are prepared.
* The quantum process is performed on each of these states and the output state is measured using quantum state tomography.
* These output states are expressed as a linear combination of the basis states. A mathematical relation is formed which is used to determine the different operators which describe the quantum process.