Sunburst Spring Vegetable Quiche with Puff Pastry

sheet puff pastry, thawed in the refrigerator overnight

asparagus spears, hard ends removed and cut into 3-inch by 1/4-inch matchsticks

medium carrots, peeled and cut into 3-inch by 1/4-inch matchsticks

leeks, white and light green parts only, cut into 3-inch by 1/4-inch matchsticks

large eggs

plain Greek yogurt

Dijon mustard

whole grain mustard

kosher salt

black pepper