Three quality caramelized (or candied) walnut recipes are Caramelized Walnuts from Food Network, Candied Walnuts from Food.com and Missy's Candied Walnuts from AllRecipes. These recipes vary slightly but are all acceptable for beginner to advanced chefs.
To make the Caramelized Walnuts recipe from Food Network, cook 1/2 cup of walnuts, 2 tablespoons of brown sugar, 1/4 teaspoon of salt, 1 teaspoon of walnut oil and a pinch of cayenne in a medium skillet over medium-high heat. Cook mixture for approximately five minutes, stirring occasionally. The walnuts are done when the sugar caramelizes and covers the nuts. Cover a baking sheet with wax paper, and transfer the walnuts to it in order to cool.
To make the Candied Walnuts recipe on Food.com, heat a skillet over medium-high heat. Once heated, place 1 cup of walnuts and 2 tablespoons of butter in to skillet, and cook until the butter is melted and fully covers the nuts. Then, sprinkle the walnuts with 1 to 2 tablespoons of sugar and an optional 1/4 teaspoon of cinnamon. Stir until the sugar caramelizes, and transfer on to parchment paper. Separate walnuts, and allow to cool.
To make Missy's Candied Walnuts, place 1/2 cup of walnuts and 1/4 cup of sugar in a skillet over medium heat. Cook, stirring constantly, until the sugar caramelizes and coats the walnuts. Pour the walnuts on to a sheet of aluminum foil, and separate to cool.