There are many approaches and I don't know which would be most attractive as a commercial process, but the most obvious seems to me to be the use of ion-exchange "resins", because the salt is ionic and the sugar is not. Pass a solution of the mix over first one acid resin that would pick up the sodium, then over another alkaline resin to pick up the chloride. Repeat until the sugar is pure enough.  If you happen to want to recover the salt (and resin) again, then release the sodium and chloride with acid and alkali and reconstitute the salt as required. The same process would clean up the resin. 

Ion exchange resins are a very large range of substances that can be used for some surprising separations and purifications.

Cheers,

Jon

Sugars are fairly soluble in alcohol (think liqueurs), but salt is generally insoluble. Shake the mix with absolute alcohol (you want no water since then the salt will dissolve). Filter and the salt will remain in the filter: the evaporate off the alcohol to recover the sugar.

Hmmm...

Belatedly it occurs to me  to wonder how well sugar dissolves in supercritical carbon dioxide. I suspect that it does, and that salt does not. If so, it would be a far cleaner process for anyone who can afford the apparatus.

Then again, did anyone mention dialysis?  In particular electrodialysis? Dissolve the lot in water in a semipermeable bag, then apply an electric field that could remove the sodium and chlorine ions. This should not affect the sugar. Problem solved.

Cheers,

Jon

You can use a strong electromagnetic field to separate sodium chloride, whose ions exhibit a right-handed electrical moment, from sugar, which is ambidextrose.