A Hamiltonian for quantum copying

Physics – Quantum Physics

Scientific paper

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16 pages in plain TeX

Scientific paper

10.1016/S0375-9601(96)00939-5

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 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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