Abstract
We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n “copy” qubits ( n ≥ 1) initially all prepared in the down state. In terms of spin components, for spin- 1 2 particle spin states, the resulting Hamiltonian involves n- and ( n + 1)-spin interactions. The case n = 1 also corresponds to a quantum-computing controlled-NOT gate.
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