dorsal/arxiv
View SchemaRealization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps
| Authors | F. Sciarrino, C. Sias, M. Ricci, F. De Martini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407176 |
| URL | https://arxiv.org/abs/quant-ph/0407176 |
| DOI | 10.1103/PhysRevA.70.052305 |
| Journal | Phys. Rev. A 70, 052305 (2004) |
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.
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"abstract": "Optimal quantum machines can be implemented by linear projective operations.\nIn the present work a general qubit symmetrization theory is presented by\ninvestigating the close links to the qubit purification process and to the\nprogrammable teleportation of any generic optimal anti-unitary map. In\naddition, the contextual realization of the N -\u003eM cloning map and of the\nteleportation of the N-\u003e(M-N) universal NOT gate is analyzed by a novel and\nvery general angular momentum theory. An extended set of experimental\nrealizations by state symmetrization linear optical procedures is reported.\nThese include the 1-\u003e2 cloning process, the UNOT gate and the quantum\ntomographic characterization of the optimal partial transpose map of\npolarization encoded qubits.",
"arxiv_id": "quant-ph/0407176",
"authors": [
"F. Sciarrino",
"C. Sias",
"M. Ricci",
"F. De Martini"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.052305",
"journal_ref": "Phys. Rev. A 70, 052305 (2004)",
"title": "Realization of Universal Optimal Quantum Machines by Projective Operators and Stochastic Maps",
"url": "https://arxiv.org/abs/quant-ph/0407176"
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