Chop the bok choy into slivers. Cut carrot into ribbons using a peeler, mandolin, or veggie spiral tool.
If you're not using leftover noodles, cook your noodles of choice according to the package directions. Drain the noodles and set aside.
Heat your wok over medium-high heat.
Add the cooking oil. Sautee the bok choy and carrots for a minute or so, stirring very frequently.
Add the ginger and garlic and stir well for 1 minute.
Add the remaining sauce ingredients, stirring quickly.
Add your noodles, turn off the heat, and toss until evenly warmed through and coated with sauce. Add a little bit of pasta water or broth if it is too dry.