Preheat your oven to 350°F and grease a loaf pan (approximately 8x4 inches) with butter or cooking spray, making sure to coat the bottom and sides evenly to prevent sticking. While the oven heats, finely grate the carrots using a box grater or food processor—grating them fine creates better moisture distribution throughout the cake and ensures even texture. Roughly chop the walnuts into approximately 1/4 inch pieces, and measure out all remaining ingredients so everything is ready to go.
In a medium bowl, whisk together the flour, cinnamon, nutmeg, ground ginger, salt, and baking powder. This ensures the leavening and spices are evenly distributed throughout the flour before mixing with the wet ingredients, which prevents lumps and gives you consistent flavor in every bite.
In a separate large bowl, whisk the room-temperature eggs and sugar together for about 45 seconds until the mixture becomes pale and slightly frothy—this incorporates air and helps create a lighter crumb. Add the olive oil and vanilla extract, stirring until fully combined. The room-temperature eggs are important here because they incorporate air more efficiently than cold eggs, which gives the cake a better texture.
Pour the dry ingredient mixture from Step 2 into the wet ingredients from Step 3, and stir gently with a spatula until just combined—don't overmix, as this can develop gluten and make the cake tough. Fold in the grated carrots and chopped walnuts from Step 1, stirring just until they're evenly distributed throughout the batter. I like to fold gently and let the carrots' natural moisture do the work rather than aggressive stirring, which keeps the texture tender.
Pour the batter into the prepared loaf pan from Step 1, smoothing the top with a spatula for even baking. Place in the preheated 350°F oven and bake for 50–55 minutes, until a toothpick inserted into the center comes out with just a few moist crumbs (not wet batter, but not completely dry either). The loaf is done when the top is golden brown and a gentle tap on the sides sounds hollow.
Remove the loaf from the oven and let it cool in the pan for about 1 hour at room temperature. This resting period allows the interior to set properly and makes it much easier to turn out of the pan without breaking. After cooling in the pan, you can turn it out onto a wire rack to cool completely, or slice and serve directly from the pan.