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Optimal Universal N-M Cloning: Difference between revisions
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**assumes that all of the original states are identical and also all of the output copies will be identical at the end of the protocol (In other words, the final output state belongs to the symmetric subspace of M qubits). | **assumes that all of the original states are identical and also all of the output copies will be identical at the end of the protocol (In other words, the final output state belongs to the symmetric subspace of M qubits). | ||
**assumes that the protocol is an approximate deterministic cloning protocol, meaning that in every round it produces approximate copies of the original states. | **assumes that the protocol is an approximate deterministic cloning protocol, meaning that in every round it produces approximate copies of the original states. | ||
*'''Fidelity of the | *'''Fidelity of the <math>N \rightarrow M</math> UQCM:''' <math>F_{N \rightarrow M} = \frac{MN + M + N}{M(N + 2)}</math> | ||
*'''Special case of 1 qubit to 2 qubits:''' <math>F_{1 \rightarrow 2} = \frac{5}{6}</math> | *'''Special case of 1 qubit to 2 qubits:''' <math>F_{1 \rightarrow 2} = \frac{5}{6}</math> | ||