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A Hamiltonian for quantum copying

Quantum Physics 2014-11-18 v2 Materials Science

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 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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Cite

@article{arxiv.quant-ph/9609018,
  title  = {A Hamiltonian for quantum copying},
  author = {Dima Mozyrsky and Vladimir Privman and Mark Hillery},
  journal= {arXiv preprint arXiv:quant-ph/9609018},
  year   = {2014}
}

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