Editing State Dependent N-M Cloning
Jump to navigation
Jump to search
The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 12: | Line 12: | ||
==Outline== | ==Outline== | ||
This state-dependent QCM can only act effectively on two sets of states. These states are non-orthogonal (orthogonal case is trivial). For a state-dependent cloner, the only thing that we need is to perform a transformation which takes N identical input states and <math>M-N</math> blank states, to M copies such that it yields the best copies for the given special input states. It is important to note that this transformation is useful when we have a prior information about the input states. | This state-dependent QCM can only act effectively on two sets of states. These states are non-orthogonal (orthogonal case is trivial). For a state-dependent cloner, the only thing that we need is to perform a transformation which takes N identical input states and <math>M-N</math> blank states, to M copies such that it yields the best copies for the given special input states. It is important to note that this transformation is useful when we have a prior information about the input states. | ||
== | ==Notations Used== | ||
*<math>|a\rangle, |b\rangle:</math> Two nonorthogonal input states | *<math>|a\rangle, |b\rangle:</math> Two nonorthogonal input states | ||
*<math>S:</math> The inner (scalar) product of two input states <math>|a\rangle</math> and <math>|b\rangle</math> | *<math>S:</math> The inner (scalar) product of two input states <math>|a\rangle</math> and <math>|b\rangle</math> |