Probing quantum coherence at a distance and Aharonov-Bohm nonlocality

Funding

We would like to thank C. aslav Brukner and Borivoje Dakic for useful discussions and comments that greatly improved this paper. F.D.S. acknowledges the financial support through a DOC Fellowship of the Austrian Academy of Sciences (OAW). S.H. acknowledges support from an ESQ Discovery Grant of the Austrian Academy of Sciences (OAW). P.A.G. and L.A. acknowledge support from the research platform Testing Quantum and Gravity Interface with Single Photons (TURIS), the Austrian Science Fund (FWF) through the projects BeyondC (F7113-N48), and the doctoral program Complex Quantum Systems (CoQuS) under Project No. W1210-N25 and the financial support from the EU Collaborative Project TEQ (Grant Agreement No. 766900). They also acknowledge a grant from the Foundational Questions Institute (FQXi) Fund and by the ID#61466 grant from the John Templeton Foundation, as part of the "The Quantum Information Structure of Space-time (QISS)" Project. The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of the John Templeton Foundation.