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State Dependent N-M Cloning: Difference between revisions
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==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. | ||
== | ==Notation== | ||
*<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> | ||