Comment on "Is a system's wave function in one-to-one correspondence with its elements of reality?" [arXiv:1111.6597]

TL;DR

This paper critiques recent claims that different quantum states necessarily correspond to different elements of reality, emphasizing that additional assumptions are needed for such conclusions to hold.

Contribution

It demonstrates that the previous results rely on assumptions beyond standard quantum mechanics and are not universally valid.

Findings

Additional assumptions are required for the previous results to hold

The results do not have general validity without these assumptions

Quantum states do not necessarily correspond to elements of reality under minimal assumptions

Abstract

Recently, it has been argued [arXiv:1111.6597, arXiv:1005.5173] that different quantum states do necessarily correspond to different elements of reality, under the assumption that quantum mechanics is correct and that measurement settings can be freely chosen. Here, we prove that additional assumptions are necessary to derive this results, which then has not general validity.