dorsal/arxiv
View SchemaComparison of unitary transforms
| Authors | Erika Andersson, Igor Jex, Stephen M. Barnett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208153 |
| URL | https://arxiv.org/abs/quant-ph/0208153 |
| DOI | 10.1088/0305-4470/36/9/310 |
Abstract
We analyze the problem of comparing unitary transformations. The task is to decide, with minimal resources and maximal reliability, whether two given unitary transformations are identical or different. It is possible to make such comparisons without obtaining any information about the individual transformations. Different comparison strategies are presented and compared with respect to their efficiency. With an interferometric setup, it is possible to compare two unitary transforms using only one test particle. Another strategy makes use of a two-particle singlet state. This strategy is more efficient than using a non-entangled two-particle test state, thus demonstrating the benefit of entanglement. Generalisations to higher dimensional transforms and to more than two transformations are made.
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"abstract": "We analyze the problem of comparing unitary transformations. The task is to\ndecide, with minimal resources and maximal reliability, whether two given\nunitary transformations are identical or different. It is possible to make such\ncomparisons without obtaining any information about the individual\ntransformations. Different comparison strategies are presented and compared\nwith respect to their efficiency. With an interferometric setup, it is possible\nto compare two unitary transforms using only one test particle. Another\nstrategy makes use of a two-particle singlet state. This strategy is more\nefficient than using a non-entangled two-particle test state, thus\ndemonstrating the benefit of entanglement. Generalisations to higher\ndimensional transforms and to more than two transformations are made.",
"arxiv_id": "quant-ph/0208153",
"authors": [
"Erika Andersson",
"Igor Jex",
"Stephen M. Barnett"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/9/310",
"title": "Comparison of unitary transforms",
"url": "https://arxiv.org/abs/quant-ph/0208153"
},
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