Looking for a starter point for a professional training as a Quantum Computer programmer. Is a master in Computer Science
XOR Applied Physics a good starting point?
From my experience, the best entry point to learning Quantum Computing is working through Nielsen and Chuang. This book is a phenomenal introduction to the core concepts in quantum computing, and assumes very little from the reader except "mathematical maturity." Even if you're planning to start a graduate program, I would recommend working through this book during the admissions process.
If you're looking for a graduate program, there are programs forming that are specifically focused on QC and related technologies. If QC programming is your goal, I would suggest finding a school that is investing heavily in building a QC department.
The schools that I've seen first hand that are deeply invested in quantum computing education are CalTech, MIT, Univ. Chicago, UT Austin, Univ. Maryland, Duke and Berkeley; outside the US, Univ. of New South Wales in Australia, and TU Delft in the Netherlands.
New options requiring less commitment than graduate school are also becoming available, like Chicago's Quantum Certificate Program and MIT's QC Fundamentals Course. The government (mostly DOE and NSF) is also now investing heavily in developing a quantum workforce (see, e.g. here, and here), largely to ensure we're competitive with China. There may be opportunities to get your training subsidized by Uncle Sam.