Preheat your oven to 300°F (150°C) and line a baking sheet with parchment paper.
Separate the egg whites from the yolks and place them in two separate bowls.
Add the cream cheese to the bowl with the egg yolks. Mix well until smooth and creamy.
In the bowl with the egg whites, add the cream of tartar. Using an electric mixer, beat the egg whites on high speed until stiff peaks form. This step is important for achieving a light and airy texture.
Gently fold the egg yolk and cream cheese mixture into the beaten egg whites. Be careful not to overmix; you want to maintain as much of the airiness as possible.
Spoon the mixture onto the prepared baking sheet, forming small round or oval shapes. You should be able to make about 6 cloud breads, depending on the size you prefer.
Bake in the preheated oven for approximately 25-30 minutes, or until the cloud breads are golden brown on the outside and firm to the touch. The exact baking time may vary, so keep an eye on them.
Once done, remove the cloud breads from the oven and let them cool on a wire rack. They will deflate slightly as they cool.
Serve the cloud breads as a bread substitute for sandwiches or enjoy them on their own as a light snack. They can be stored in an airtight container for a few days.