dorsal/arxiv
View SchemaQuantum Information Processing with Low-Dimensional Systems
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512034 |
| URL | https://arxiv.org/abs/quant-ph/0512034 |
| Journal | NATO Science Series, III: Comp. Syst. Sciences 199, p 103 (2006) |
Abstract
A `register' in quantum information processing -- is composition of k quantum systems, `qudits'. The dimensions of Hilbert spaces for one qudit and whole quantum register are d and d^k respectively, but we should have possibility to prepare arbitrary entangled state of these k systems. Preparation and arbitrary transformations of states are possible with universal set of quantum gates and for any d may be suggested such gates acting only on single systems and neighbouring pairs. Here are revisited methods of construction of Hamiltonians for such universal set of gates and as a concrete new example is considered case with qutrits. Quantum tomography is also revisited briefly.
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"abstract": "A `register\u0027 in quantum information processing -- is composition of k quantum\nsystems, `qudits\u0027. The dimensions of Hilbert spaces for one qudit and whole\nquantum register are d and d^k respectively, but we should have possibility to\nprepare arbitrary entangled state of these k systems. Preparation and arbitrary\ntransformations of states are possible with universal set of quantum gates and\nfor any d may be suggested such gates acting only on single systems and\nneighbouring pairs. Here are revisited methods of construction of Hamiltonians\nfor such universal set of gates and as a concrete new example is considered\ncase with qutrits. Quantum tomography is also revisited briefly.",
"arxiv_id": "quant-ph/0512034",
"authors": [
"Alexander Yu. Vlasov"
],
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"quant-ph"
],
"journal_ref": "NATO Science Series, III: Comp. Syst. Sciences 199, p 103 (2006)",
"title": "Quantum Information Processing with Low-Dimensional Systems",
"url": "https://arxiv.org/abs/quant-ph/0512034"
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