dorsal/arxiv
View SchemaGeneral formalism of Hamiltonians for realizing a prescribed evolution of a qubit
| Authors | D. M. Tong, Jing-Ling Chen, L. C. Kwek, C. H. Lai, C. H. Oh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406185 |
| URL | https://arxiv.org/abs/quant-ph/0406185 |
| DOI | 10.1103/PhysRevA.68.062307 |
| Journal | Phys. Rev. A 68, 062307 (2003) |
Abstract
We investigate the inverse problem concerning the evolution of a qubit system, specifically we consider how one can establish the Hamiltonians that account for the evolution of a qubit along a prescribed path in the projected Hilbert space. For a given path, there are infinite Hamiltonians which can realize the same evolution. A general form of the Hamiltonians is constructed in which one may select the desired one for implementing a prescribed evolution. This scheme can be generalized to higher dimensional systems.
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"abstract": "We investigate the inverse problem concerning the evolution of a qubit\nsystem, specifically we consider how one can establish the Hamiltonians that\naccount for the evolution of a qubit along a prescribed path in the projected\nHilbert space. For a given path, there are infinite Hamiltonians which can\nrealize the same evolution. A general form of the Hamiltonians is constructed\nin which one may select the desired one for implementing a prescribed\nevolution. This scheme can be generalized to higher dimensional systems.",
"arxiv_id": "quant-ph/0406185",
"authors": [
"D. M. Tong",
"Jing-Ling Chen",
"L. C. Kwek",
"C. H. Lai",
"C. H. Oh"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.062307",
"journal_ref": "Phys. Rev. A 68, 062307 (2003)",
"title": "General formalism of Hamiltonians for realizing a prescribed evolution of a qubit",
"url": "https://arxiv.org/abs/quant-ph/0406185"
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