A Vedanta teacher who follows more tradtional lineage approach says this about Quantum Mechanics and Vedanta: (From Quora)
“Quantum physics is right on the brink of establishing the non-dual nature of reality. The fundamentally dualistic approach of material science, however, will never be able to transcend its own limitations (i.e., its focus on measureable evidence as a means of verification) in order to “prove” the fundamental non-dual nature of the universe, for what is non-dual is by definition limitless and what is limitless is attributeless and what is attributeless has no delineable boundaries and what has no delineable boundaries is not subject to objectification or measurement.
Fortunately, quantum physics doesn’t have to verify the non-dual nature of reality, for the non-dual nature of reality is an indubitable fact. By what means could the appearance—and, thus, existence–of any object be known other than awareness? The fundamental parameters by which any object is measured and, hence, established as an existent entity are time and space, which are themselves objects that are wholly dependent upon awareness for their existence. And awareness cannot have arisen from an inert material substance, be it causal, subtle, or gross, for sentience cannot arise from insentience, a phenomenon that by analogy would equate with raising the dead. Thus, awareness or consciousness must necessarily exist “prior to” or altogether “beyond” the parameters of time and space. Such being the case, there can be no material substance other than awareness itself, for any such substance could only be identified as such by means of its measurement in terms of time and space. Therefore, awareness or consciousness must be the irreducible substrate of all existence, the fundamental non-dual reality that is being or existence or “is-ness” itself.
If you are interested in a more detailed account of the analysis just outlined, there is an article available on my website titled, “Non-Dual Means No Doer” (which you can locate in the October 2013 section under the Publications heading in the menu bar) that establishes the non-dual nature of reality through an in depth analysis of experience and makes reference to some of the basic revelations of quantum mechanics. (nevernotpresent.com)
Even if there were to exist something outside of awareness, however, what difference would it make? Anything existing in such a realm would have absolutely no bearing on our experience and, thus, wouldn’t really be worth our consideration in terms of Vedanta. Fascinating as quantum physics is, what we must bear in mind with regard to Vedanta is that the point of self-inquiry is not to establish the non-dual nature of reality, but rather to gain liberation from dependence on objects for happiness. We are after moksha, liberation, freedom from limitation and suffering, not simply an intellectual understanding of the nature of reality.
The bottom line is that quantum physics cannot and need not prove the non-dual nature of existence. Non-duality stands as a revealed fact only through the progressive negation (by means of knowledge or understanding) of all the objective forms projected upon the “screen” of pure awareness, which is thereby discovered as the substratum of all apparent objects and the fundamental ever-existent, never-changing, non-dual reality that is one’s very self.” (To continue)