Using a fine mesh strainer, rinse the quinoa. Place in a small saucepan with ¾ cup water and ¼ teaspoon salt. Bring to a boil, then reduce the heat to low.
Cover and cook, undisturbed, until the quinoa has absorbed the water, approximately 15 minutes. Remove from heat, fluff with a fork and set aside, uncovered.
Heat the olive oil in a large sauté pan over medium-high heat. Cook the carrot, broccoli and red onion, stirring occasionally, until they soften, 1 to 2 minutes. Add the bell pepper, ginger, garlic, jalapeño, remaining salt and pepper; cook, stirring frequently, about 2 minutes, being careful not to burn the garlic and ginger.
Remove the vegetables and return the sauté pan to heat.
Add the quinoa along with the beaten egg. Cook, stirring constantly, until the egg is evenly distributed, about 2 minutes.
Add the vegetables, green onions, cilantro and soy or tamari sauce, cooking 1 minute more.
Divide among 4 bowls, serve warm.