dorsal/arxiv
View SchemaImplementing unitary operators in quantum computation
| Authors | Jaehyun Kim, Jae-Seung Lee, Soonchil Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908052 |
| URL | https://arxiv.org/abs/quant-ph/9908052 |
| DOI | 10.1103/PhysRevA.61.032312 |
| Journal | Phys. Rev. A 61 (2000) 032312 |
Abstract
We present a general method which expresses a unitary operator by the product of operators allowed by the Hamiltonian of spin-1/2 systems. In this method, the generator of an operator is found first, and then the generator is expanded by the base operators of the product operator formalism. Finally, the base operators disallowed by the Hamiltonian, including more than two-body interaction operators, are replaced by allowed ones by the axes transformation and coupling order reduction technique. This method directly provides pulse sequences for the nuclear magnetic resonance quantum computer, and can be generally applied to other systems.
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"abstract": "We present a general method which expresses a unitary operator by the product\nof operators allowed by the Hamiltonian of spin-1/2 systems. In this method,\nthe generator of an operator is found first, and then the generator is expanded\nby the base operators of the product operator formalism. Finally, the base\noperators disallowed by the Hamiltonian, including more than two-body\ninteraction operators, are replaced by allowed ones by the axes transformation\nand coupling order reduction technique. This method directly provides pulse\nsequences for the nuclear magnetic resonance quantum computer, and can be\ngenerally applied to other systems.",
"arxiv_id": "quant-ph/9908052",
"authors": [
"Jaehyun Kim",
"Jae-Seung Lee",
"Soonchil Lee"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.61.032312",
"journal_ref": "Phys. Rev. A 61 (2000) 032312",
"title": "Implementing unitary operators in quantum computation",
"url": "https://arxiv.org/abs/quant-ph/9908052"
},
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