PhD in Quantum information science/ quantum physics without intensive formal education
If the professors you have spoken to (who presumably know you better than we do) believe you need more formal education in the field to be successful, you should pursue more formal education in the field (such as a masters.) 


  I consider myself to be extremely motivated and determined to pursue a PhD in Quantum physics with a goal to get into academia. 


If you really want to do quantum physics and you're told that you need some formal background to be taken seriously as a PhD applicant, then get that background.  

Given that you are, in fact, passionate about doing quantum physics, you should presumably even enjoy that masters, especially if it is a research-based program and not just taught coursework. 


  I somehow don't want to apply within the US because I am more attracted to the European research philosophy or the research carried out in Asian countries like Singapore or even Australia. 


In many places in Europe, a master's degree in the field is a requirement for starting a PhD. In the US, however, many PhD programs do not expect prospective students to have a master's. So if you're really set on not getting another master's, you should strongly reconsider this attitude.

You wrote in a comment:


  Let's say I do go for masters. Spend a huge sum of money from my parents pocket or perhaps take a loan. So then I would have three degrees. What's the point. Is there any respect for people who have spent so much time, devoted their years to science. What respect do people have for intellectuals unless you are an Einstein or Feynman; what I mean is unless you are from some top notch university who's going to notice you.


I don't know what "respect" has to do with anything. There is no number of degrees that is sufficient to guarantee that people will "respect" you. 

If you, personally, would find it extremely distressing to devote years - decades, even - to science and still not be respected as an Einstein or Feynman, then you should probably look for another career. 
A significant portion of people who seek to become professional scientists do not succeed in this goal. Of the ones who do succeed, the vast majority never reach the level of influence of Einstein or Feynman. If the overwhelming probability that you will not become a "famous" scientist makes this path seem less appealing, you should probably find another. 

("A man must love the thing very much if he not only practices it without any hope of fame or money, but even practices it without any hope of doing it well." --G.K. Chesterton)