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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. | ||
== | ==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-''' | ||