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In a small pot or in the microwave, warm the sugar, glucose and lemon juice, stirring intermittently until the sugar is dissolved.
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Stir in the citric acid and set aside to cool.
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Place the frozen cherries into a blender capable of crushing ice like a Thermomix, along with the sugar syrup. Blitz, slowly drizzling in enough water to get a smooth frozen purée. The speed will vary depending on the appliance and texture of the purée, so use your intuition, adjusting as you go, scraping down as necessary.
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Place into a pre-frozen container and leave in the freezer to firm up as desired.