Optimal Universal N-M Cloning: Difference between revisions

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*Discard the extra machine states that have been used in the previous step. Mathematically this means that you should <math>trace out</math> the states of the machine. The final output states will be the M approximately similar copies.
*Discard the extra machine states that have been used in the previous step. Mathematically this means that you should <math>trace out</math> the states of the machine. The final output states will be the M approximately similar copies.


==Notations Used==
==Notation==
**<math>|\psi\rangle^{\otimes N}:</math> N initial states
**<math>|\psi\rangle^{\otimes N}:</math> N initial states
**<math>|\psi^{\perp}\rangle:</math> The state orthogonal to <math>|\psi\rangle</math>
**<math>|\psi^{\perp}\rangle:</math> The state orthogonal to <math>|\psi\rangle</math>
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**<math>U_{N,M}:</math> Unitary operation describing the QCM
**<math>U_{N,M}:</math> Unitary operation describing the QCM
**<math>F_{N \rightarrow M}:</math> Fidelity of the USQCM showing how close the M output copies are to the N original states
**<math>F_{N \rightarrow M}:</math> Fidelity of the USQCM showing how close the M output copies are to the N original states
==Properties==
==Properties==
*'''The protocol-'''
*'''The protocol-'''
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