Attending the program will be “worth it” if the research you conduct there is interesting and meaningful. Try not to look at it as a means of padding your resume but rather an opportunity to further explore a field which you (hopefully) have a passion for.
Just my two cents.
@justonedad - elaborate youre being too allusive 
can you write hard cold facts on how this course will help me? i am so thankful for your advice 
From Stanford’s admissions FAQ:
Ha Ha. If you don’t know why this course will help you, then nothing i can add will have any more gravity than what’s been said.
@JustOneDad - mean can you give me hard cold figures
estimate of number of people who apply , number of people who get, number of people who get scholarship etc
I really am not understanding this thread very well @Sriscavenger. Your out-of-pocket cost is $2,000 plus whatever your travel costs are, correct? Can your family afford this? Easily? Or with hardship? Is this a course from Stanford that gives you college credit or an enrichment program? I am thinking it is the former.
My ds did a three-week enrichment program at Stanford the summer before his junior year of high school. Not for college credit. He did a program elsewhere for college credit the following summer. Out of the group that lived in his house while on campus, I believe about 7 or 8 of 45 got into Stanford. This is a higher percentage than the overall admission rate. I know of others who matriculated to top schools, Ivys among them. However, as @JustOneDad points out, there is no way to know how much (IF ANY) the summer program attendance factored into acceptances at Stanford or other places. As he also stated, many other factors are in play. There are no guarantees, period. My son had a wonderful experience during that and his other summer programs (he did various programs for four summers). I also agree with @JustOneDad that recs are discouraged. A high school teacher whom you have had for a year or more is going to know you far better than someone from a summer program. Someone with whom you have done research at home over a longer period of time could be a supplemental rec if s/he can add to your profile.
In addition to the academic exposure, I believe the following are the benefits of summer programs:
-You are around other bright, ambitious people who are interested in the same subject that you are.
-You get a taste of college life by living in a dorm and being somewhat on your own.
-You gain a limited understanding of what it is like to live away from home.
-You gain experience meeting new people from all over the country.
From a college application POV:
-You show that you do something enriching during the summer. BTW, many things can do this as well.
-You show the college that you and your parents are willing for you to be “away” from home assuming the program is far from where you live.
I have no “hard, cold figures” on the benefit of the last point. It’s just a hunch I have. My ds went to several places around the country over the course of his four years of summer programs. Many, many college students never venture farther than 50 miles from home. I believe that his attending programs at various locations far from where we live, at least in a subtle way, shows to admissions people that even though CA is 1,800 miles away from us, ds might be more likely than those who had never had such similar times away from home to go farther afield for college.
If your family can swing it, I think you should go. But you should absolutely not think of it as some sort of means to an end in terms of admission to Stanford. It’s not.
My sense here is that the program should be part of a bigger “story” about your interests. Does the topic quantum physics reflect your true interests? I can’t see how that could be a bad thing, assuming so.