dorsal/arxiv
View SchemaOn optimum Hamiltonians for state transformations
| Authors | Dorje C. Brody, Daniel W. Hook |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601109 |
| URL | https://arxiv.org/abs/quant-ph/0601109 |
| DOI | 10.1088/0305-4470/39/11/L02 |
| Journal | Journal of Physics A39, L167-L170 (2006) |
Abstract
For a prescribed pair of quantum states |psi_I> and |psi_F> we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates the unitary transformation |psi_I> --> |psi_F> in the shortest duration. The derivation is geometric in character and does not rely on variational calculus.
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"abstract": "For a prescribed pair of quantum states |psi_I\u003e and |psi_F\u003e we establish an\nelementary derivation of the optimum Hamiltonian, under constraints on its\neigenvalues, that generates the unitary transformation |psi_I\u003e --\u003e |psi_F\u003e in\nthe shortest duration. The derivation is geometric in character and does not\nrely on variational calculus.",
"arxiv_id": "quant-ph/0601109",
"authors": [
"Dorje C. Brody",
"Daniel W. Hook"
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"doi": "10.1088/0305-4470/39/11/L02",
"journal_ref": "Journal of Physics A39, L167-L170 (2006)",
"title": "On optimum Hamiltonians for state transformations",
"url": "https://arxiv.org/abs/quant-ph/0601109"
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