Made some carrot wine
I love it
But, carrot juice/wine can cause issues if you consume too much
So the closest list of carrot juice content I could easily find was here
http://ndb.nal.usda.gov/ndb/foods/show/3345Value per 100 g
Water g 88.87
Energy kcal 40
Protein g 0.95
Total lipid (fat) g 0.15
Carbohydrate, by difference g 9.28
Fiber, total dietary g 0.8
Sugars, total g 3.91
Minerals
Calcium, Ca mg 24
Iron, Fe mg 0.46
Magnesium, Mg mg 14
Phosphorus, P mg 42
Potassium, K mg 292
Sodium, Na mg 66
Zinc, Zn mg 0.18
Vitamins
Vitamin C, total ascorbic acid mg 8.5
Thiamin mg 0.092
Riboflavin mg 0.055
Niacin mg 0.386
Vitamin B-6 mg 0.217
Folate, DFE µg 4
Vitamin B-12 µg 0.00
Vitamin A, RAE µg 956
Vitamin A, IU IU 19124
Vitamin E (alpha-tocopherol) mg 1.16
Vitamin D (D2 + D3) µg 0.0
Vitamin D IU 0
Vitamin K (phylloquinone) µg 15.5
Lipids
Fatty acids, total saturated g 0.027
Fatty acids, total monounsaturated g 0.007
Fatty acids, total polyunsaturated g 0.071
Cholesterol mg 0
Some of what I am saying here has been said before here
In the merged thread you suggested using fermentation to change the sugars to ethanol and potentially removing some of the sugars that way.
It was pointed out that the yeast will use other nutrients as well as the sugar.
Although you might leave the yeast in and get the benefits of the nutrients by ingesting them. Additionally, in many cases the yeast is limited in the amount of conversion because it dies off somewhere below 20 percent ethanol.
Maybe you can do the math to see if all the sugar will be used up by fermentation before the yeast die. Or, find out how much water you have to add to prevent yeast death.
I also am not sure all the different sugars could be metabolized by one type of yeast.
I assume your goal was to drive off the ethanol leaving a sugar free juice.
Since the fermentation process had some draw backs you now are asking for a substance or process to remove the sugar other than fermentation.
An attempt to attack and remove the sugar may also do the same to some of the nutrients and possibly any other carbohydrates in the juice. And, said process may also leave behind substances you do not want to ingest.
I know there is a patient application out there that claims to use a sugar absorbing material with a centrifuge process. Remember that many patients make claims based on theory.
I know there are processes to get pure sugar from sugar cane and sugar beets, but I bet they are destructive to the other things in the juice. There may even be crystallization methods, but again there are probably unwanted side products.
You might GOOGLE or WIKI sugar production from sugar beets to see what is done in industry.
Back to carrot juice -- too much is not good for you.