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State Dependent N-M Cloning: Difference between revisions
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==Assumptions== | ==Assumptions== | ||
* We assume that no [[ancillary states]] (test qubits) are not needed for this state-dependent protocol. | * We assume that no [[ancillary states]] (test qubits) are not needed for this state-dependent protocol. | ||
* We assume that this state-dependent QCM is | * We assume that this state-dependent QCM is symmetric. | ||
* We assume that the transformation is [[unitary]], acting on the Hilbert space of <math>M</math> qubits and thus, the following relation holds between the inner product of input and output states:</br> | * We assume that the transformation is [[unitary]], acting on the Hilbert space of <math>M</math> qubits and thus, the following relation holds between the inner product of input and output states:</br> | ||
<math>\langle\alpha_{NM}|\beta_{NM}\rangle = (\langle a|b \rangle)^N = S^N</math> | <math>\langle\alpha_{NM}|\beta_{NM}\rangle = (\langle a|b \rangle)^N = S^N</math> | ||