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Sulfate oxidation is not possible as far as I know, as with oxidation state of 6+, sulfur is in its most oxidized form.
Potassium persulfate can be prepared by electrolysis of a mixture between potassium sulfate and hydrogen sulfate at a high current density.2 KHSO4 → K2S2O8 + H2 It can also be prepared by adding potassium bisulfate (KHSO4) to an electrolyzed solution of ammonium bisulfate (NH4HSO4).Another reaction of its formation is the following (although the practical use of it is doubtable).F2 + 2KHSO4 → K2S2O6(O2) + 2HF