English

Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps

Quantum Physics 2009-11-10 v1

Abstract

Optimal quantum machines can be implemented by linear projective operations. In the present work a general qubit symmetrization theory is presented by investigating the close links to the qubit purification process and to the programmable teleportation of any generic optimal anti-unitary map. In addition, the contextual realization of the N ->M cloning map and of the teleportation of the N->(M-N) universal NOT gate is analyzed by a novel and very general angular momentum theory. An extended set of experimental realizations by state symmetrization linear optical procedures is reported. These include the 1->2 cloning process, the UNOT gate and the quantum tomographic characterization of the optimal partial transpose map of polarization encoded qubits.

Keywords

Cite

@article{arxiv.quant-ph/0407176,
  title  = {Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps},
  author = {F. Sciarrino and C. Sias and M. Ricci and F. De Martini},
  journal= {arXiv preprint arXiv:quant-ph/0407176},
  year   = {2009}
}

Comments

11 pages, 7 figures

R2 v1 2026-07-22T19:45:13.957Z