Measure 75 ml cold water into a jug, and place it in the fridge along with an unopened bottle of carbonated water, chill for 30 minutes. Sift 75 g unbleached cake flour into a bowl with 15 g cornstarch and chill that too. While you wait, prep the shrimp.
Peel 10 large shrimp, keeping the tail and the first segment above it, and remove the vein. Fold the tail, trim the tip on a slant, pop out the pointed rostrum, and press the water from inside the tail with the side of the knife.
Add the shrimp to a bowl with ½ tsp salt, 1 tbsp potato starch (katakuriko), and 2 tbsp water, and massage gently with your fingers for 30 seconds to a minute (no longer than 2 minutes). Rinse in cold water until it runs clear, then pat fully dry.
With the belly up, score 4 to 5 shallow diagonal cuts across it, half the depth of the meat. Turn it belly-down and press the back at 3 to 4 points until you feel a faint snap and it lies flat. Optional: Spread the shrimp out on paper towels without overlap, lay another sheet on top, and refrigerate 10 minutes.
Heat the cooking oil for deep frying to 180 to 190°C (356 to 374°F), testing with a drop of batter that sinks partway and floats back up from the center. Dust the shrimp thinly with cake flour and tap off the excess.
Mix a little of your chilled water with 1 egg yolk, then add the rest and 50 ml carbonated water. Fold in the dry mix a third at a time with chopsticks, gently, in a cross pattern. Do not overmix. Add 2 ice cubes if you like.
Coat a shrimp in batter and slip it straight into the oil, one by one, filling no more than a third of the surface (3 shrimp in a 24 cm pot). Fry about 2 minutes to a light, crisp color, then lift onto a rack. Chill the batter between batches.
Serve at once, hot from the oil, with salt to pinch on or with tempura dipping sauce (tentsuyu). Enjoy!
Notes
Small batches, hot oil: Add too many at once and the oil temperature drops, giving a heavy, oil-soaked crust that never colors. In a 24 cm pot, keep it to 3 shrimp at a time so the oil holds its heat.Dry the shrimp before flouring: Water left on the surface makes the batter slide off and the oil spit. Pat the shrimp dry, then dust thinly with flour.Score and straighten to stop curling: Make 4 to 5 belly cuts and press along the back until you feel a snap, so the shrimp lies straight.Eat it straight away: Tempura batter pulls in moisture within minutes and loses its lightness. It is at its best the moment it comes out of the oil.If you use frozen shrimp:For frozen shrimp, make a 3% brine with 200 ml water and 1 tsp salt and submerge them. Give shell-on 10 to 15 minutes, peeled 8 to 10, lifting each one out while the middle is still faintly icy. Raw or thawed shrimp skip this.Avoid bleached cake flour: Avoid bleached or chlorinated cake flour, self-rising flour, and gluten-free blends, as they change the texture. For UK/AU readers, plain flour works. See my flour guide for more info.