Editing State Dependent N-M Cloning (section)

==Assumptions==
* We assume that no [[ancillary states]] (test qubits) are not needed for this state-dependent protocol.
* We assume that this state-dependent QCM is symmetric.
* We assume that the transformation is [[unitary]], acting on the Hilbert space of <math>M</math> qubits and thus, the following relation holds between the inner product of input and output states:</br>
<math>\langle\alpha_{NM}|\beta_{NM}\rangle = (\langle a|b \rangle)^N = S^N</math>
* We assume that protocol is optimal on the input states meaning that it will give the maximum possible [[fidelity]] value on average for a given set of states.