dorsal/arxiv
View SchemaForcing a unitary transformation by an external field: comparing two approaches based on optimal control theory
| Authors | Jose P. Palao, Ronnie Kosloff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208147 |
| URL | https://arxiv.org/abs/quant-ph/0208147 |
Abstract
A quantum gate is realized by specific unitary transformations operating on states representing qubits. Considering a quantum system employed as an element in a quantum computing scheme, the task is therefore to enforce the pre-specified unitary transformation. This task is carried out by an external time dependent field. Optimal control theory has been suggested as a method to compute the external field which alters the evolution of the system such that it performs the desire unitary transformation. This study compares two recent implementations of optimal control theory to find the field that induces a quantum gate. The first approach is based on the equation of motion of the unitary transformation. The second approach generalizes the state to state formulation of optimal control theory. This work highlight the formal relation between the two approaches.
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"abstract": "A quantum gate is realized by specific unitary transformations operating on\nstates representing qubits. Considering a quantum system employed as an element\nin a quantum computing scheme, the task is therefore to enforce the\npre-specified unitary transformation. This task is carried out by an external\ntime dependent field. Optimal control theory has been suggested as a method to\ncompute the external field which alters the evolution of the system such that\nit performs the desire unitary transformation. This study compares two recent\nimplementations of optimal control theory to find the field that induces a\nquantum gate. The first approach is based on the equation of motion of the\nunitary transformation. The second approach generalizes the state to state\nformulation of optimal control theory. This work highlight the formal relation\nbetween the two approaches.",
"arxiv_id": "quant-ph/0208147",
"authors": [
"Jose P. Palao",
"Ronnie Kosloff"
],
"categories": [
"quant-ph"
],
"title": "Forcing a unitary transformation by an external field: comparing two approaches based on optimal control theory",
"url": "https://arxiv.org/abs/quant-ph/0208147"
},
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