Ontological Models, Preparation Contextuality and Nonlocality

Foundations of Physics 44 (11):1230-1244 (2014)

The ontological model framework for an operational theory has generated much interest in recent years. The debate concerning reality of quantum states has been made more precise in this framework. With the introduction of generalized notion of contextuality in this framework, it has been shown that completely mixed state of a qubit is preparation contextual. Interestingly, this new idea of preparation contextuality has been used to demonstrate nonlocality of some \(\psi \) -epistemic models without any use of Bell’s inequality. In particular, nonlocality of a non maximally \(\psi \) -epistemic model has been demonstrated from preparation contextuality of a maximally mixed qubit and Schrödinger’s steerability of the maximally entangled state of two qubits (Leifer and Maroney, Phys Rev Lett 110:120401, 2013). In this paper, we, show that any mixed state is preparation contextual. We, then, show that nonlocality of any bipartite pure entangled state, with Schmidt rank two, follows from preparation contextuality and steerability provided we impose certain condition on the epistemicity of the underlying ontological model. More interestingly, if the pure entangled state is of Schmidt rank greater than two, its nonlocality follows without any further condition on the epistemicity. Thus our result establishes a stronger connection between nonlocality and preparation contextuality by revealing nonlocality of any bipartite pure entangled states without any use of Bell-type inequality
Keywords Ontological model  Preparation contextuality  Nonlocality  Bell’s theorem
Categories (categorize this paper)
DOI 10.1007/s10701-014-9839-4
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 40,649
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Quantum Analogues of Hardy’s Nonlocality Paradox.Tobias Fritz - 2011 - Foundations of Physics 41 (9):1493-1501.
Logical Bell Inequalities.Samson Abramsky & Lucien Hardy - 2012 - Physical Review A 85:062114-1 - 062114-11.
Nonlocality Without Nonlocality.Steven Weinstein - 2009 - Foundations of Physics 39 (8):921-936.
Non-Realism: Deep Thought or a Soft Option?Nicolas Gisin - 2012 - Foundations of Physics 42 (1):80-85.


Added to PP index

Total views
33 ( #244,801 of 2,242,378 )

Recent downloads (6 months)
4 ( #500,338 of 2,242,378 )

How can I increase my downloads?


My notes

Sign in to use this feature