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A Combinatorial Approach to Nonlocality and Contextuality
- A. Acín, T. Fritz, Anthony Leverrier, A. B. Sainz
- MathematicsCommunications in Mathematical Physics
- 17 December 2012
AbstractSo far, most of the literature on (quantum) contextuality and the Kochen–Specker theorem seems either to concern particular examples of contextuality, or be considered as quantum logic. Here,…
Local orthogonality as a multipartite principle for quantum correlations.
Local orthogonality, an intrinsically multipartite principle stating that events involving different outcomes of the same local measurement must be exclusive or orthogonal, is introduced and it is proved that it is equivalent to no-signalling in the bipartite scenario but more restrictive for more than two parties.
Detecting nonlocality in many-body quantum states
- Jordi Tura i Brugués, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, A. Acín
- 13 June 2014
A simplified, experimentally accessible form of Bell inequalities is derived and can be tested by measuring total spin components, opening the way to the experimental detection of many-body nonlocality, for instance with atomic ensembles.
Nonlocality in many-body quantum systems detected with two-body correlators
- A. B. Sainz, N. Brunner, D. Cavalcanti, Paul Skrzypczyk, T. Vértesi
- PhysicsPhysical review letters
- 6 May 2015
While post-quantum steering does not exist in the bipartite case, it is proved its existence in the case of three observers and provides new insight into the nonlocal correlations of multipartite quantum systems.
Translationally invariant multipartite Bell inequalities involving only two-body correlators
- Jordi Tura i Brugués, A. B. Sainz, T. V'ertesi, A. Ac'in, M. Lewenstein, R. Augusiak
- Mathematics, Physics
- 1 December 2013
Bell inequalities are natural tools that allow one to certify the presence of nonlocality in quantum systems. The known constructions of multipartite Bell inequalities contain, however, correlation…
Exploring the Local Orthogonality Principle
Nonlocality is arguably one of the most fundamental and counterintuitive aspects of quantum theory. Nonlocal correlations could, however, be even more nonlocal than quantum theory allows, while still…
A formalism for steering with local quantum measurements
- A. B. Sainz, L. Aolita, M. Piani, M. Hoban, Paul Skrzypczyk
- PhysicsNew Journal of Physics
- 2 August 2017
We develop a unified approach to classical, quantum and post-quantum steering. The framework is based on uncharacterised (black-box) parties performing quantum measurements on their share of a…
Macroscopic noncontextuality as a principle for almost-quantum correlations
Quantum mechanics allows only certain sets of experimental results (or "probabilistic models") for Bell-type quantum non-locality experiments. A derivation of this set from simple physical or…
Multipartite Composition of Contextuality Scenarios
It is proved that Q1 models satisfy invariance-under-composition-method for all the constructive compositions protocols which do capture the orthogonality relations given by the Local Orthog onality principle.