Classical Limits and Contextuality in a Scenario of Multiple Observers

Abstract

Contextuality is regarded as a non-classical feature, challenging our everyday intuition; quantum contextuality is currently seen as a resource for many applications in quantum computation, being responsible for quantum advantage over classical analogs. In our work, we adapt the $N$-cycle scenarios with odd $N$ to multiple independent observers which measure the system sequentially. We analyze the possibility of violating the inequalities as a function of the number of observers and under different measurement protocols. We then reinterpret the results as an open quantum system where the environment is divided into fragments. In this context, the results show the emergence of non-contextuality in such a setting, bringing together the quantum behavior to our classical experience. We then compare such emergence of non-contextuality with that of objectivity under the `Environment as a Witness paradigm'.

Extensively rewritten, while main results are maintained. Discussion of open systems and relation to emergence of objectivity is concentrated on section IV. 7+8 pages, 4+1 figures. Submitted to PRA