Optimal asymmetric cloning machine on a great circle using no-signalling condition
Abstract
Assuming the condition of no superluminal signalling, we got an upper bound on the quality of all asymmetric 1 2 cloning machines, acting on qubits whose Bloch vectors lie on a great circle. Then we constructed an 1 2 cloning machine, which asymmetrically clone all qubits corresponding to this great circle, and this machine matches with that upper bound, and hence this is optimal one.
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