UK Immigration Law
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The UK has no restrictions on dual nationality, whether Sweden does, you will have to check with the Swedish Consular. The UK home office will certainly not inform the Swedish immigration office of your dual nationality. It would not be possible for UKBA to report every individual who has dual nationality to other countries. There are also confidentiality issues involved here and I am certain that the British Home office will not be reporting the fact that you have a British passport to the Swedish Consular.
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The UKBA have no obligation to inform the Swedish consular of your dual status. It would not be feasible for UK to inform other countries that an individual has dual nationality. Again, due to confidentiality, UKBA would not provide this information to another source in any case.
Hope this puts your mind at rest.