No it cannot be used as an electrolyte because electrolytes are the substances which produce ions in solutions or in molten form and mercury is a pure liquid metal 
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Mercury conducts becuase it is a metal, and the electrons of mercury atoms are easily freed. So the charge carriers are electrons, not positive and negative ions. 

Metal atoms bond together by sharing their free electrons, metal atoms form a crystaline lattice of positive metal atoms surrounded by a 'sea' of electrons..............