Unambiguous comparison of the states of multiple quantum systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F04%3A04101745" target="_blank" >RIV/68407700:21340/04:04101745 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Unambiguous comparison of the states of multiple quantum systems
Original language description
We consider N quantum systems initially prepared in pure states and address the problem of unambiguously comparing them. We investigate the possibility of unambiguously obtaining this kind of information. It is found that some unambiguous comparison tasks are possible only when certain linear independence conditions are satisfied. We also obtain measurement strategies for certain comparison tasks which are optimal under a broad range of circumstances, in particular when the states are completely unknown. Such strategies, which we call universal comparison strategies, are found to have intriguing connections with the problem of quantifying the distinguishability of a set of quantum states and also with unresolved conjectures in linear algebra. We finally investigate a potential generalisation of unambiguous state comparison, which we term unambiguous overlap filtering.
Czech name
Nedvojznacne srovnani stavu vicenasobnych kvantovych systemu
Czech description
Srovnavame N kvantovych systemu ktere jsou pripraveny v cistych stavech.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA202%2F04%2F2101" target="_blank" >GA202/04/2101: Quntum computation with error correcting codes</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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