Should private schools receive federal and state tax money?

There are thousands of private schools in America. All of these schools charge a lot of tuition because they do not get matching funds from federal or state governments. Why can't they receive financial aid from the nation? Many of them provide a good environment for students to study, do research, and develop knowledge; just as well as public schools do, and they also train and teach many excellent elite students to feed back into …

…or cooperate with them, many useful research and discoveries will make people's lives better in the near future. To sum up, if private schools receive federal and state tax money, it would make their study environments and resources better, applying to schools easier, and publicizing helpful researches faster. All schools can advance through benign competition with each other when they have enough educational appropriation from nation, and this is beneficial to both students and states.