Self-Testing of Physical Theories, or, Is Quantum Theory Optimal with Respect to Some Information-Processing Task?

@article{Weilenmann2020SelfTestingOP,
  title={Self-Testing of Physical Theories, or, Is Quantum Theory Optimal with Respect to Some Information-Processing Task?},
  author={Mirjam Weilenmann and Roger Colbeck},
  journal={Physical review letters},
  year={2020},
  volume={125 6},
  pages={
          060406
        }
}
Self-testing usually refers to the task of taking a given set of observed correlations that are assumed to arise via a process that is accurately described by quantum theory, and trying to infer the quantum state and measurements. In other words it is concerned with the question of whether we can tell what quantum black-box devices are doing by looking only at their input-output behavior and is known to be possible in several cases. Here we introduce a more general question: is it possible to… 

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References

SHOWING 1-10 OF 33 REFERENCES
Toward correlation self-testing of quantum theory in the adaptive Clauser-Horne-Shimony-Holt game
TLDR
It is proved that it is impossible to recover the quantum performance in various cases in the adaptive CHSH game, enabling an experiment that could rule out all theories in which the set of realisable correlations does not coincide with the quantum set.
Information processing in generalized probabilistic theories
TLDR
A framework in which a variety of probabilistic theories can be defined, including classical and quantum theories, and many others, is introduced, and a tensor product rule for combining separate systems can be derived.
Generalized probabilistic theories without the no-restriction hypothesis
The framework of generalized probabilistic theories (GPTs) is a popular approach for studying the physical foundations of quantum theory. The standard framework assumes the no-restriction hypothesis,
Information causality as a physical principle
TLDR
It is suggested that information causality—a generalization of the no-signalling condition—might be one of the foundational properties of nature and help to distinguish physical theories from non-physical ones.
Almost quantum correlations.
TLDR
It is reported that, at the level of correlations among different systems, quantum theory is not so special, and a set of correlations is defined, dubbed 'almost quantum', that strictly contains the set of quantum correlations but satisfies all-but-one of the proposed principles to capture quantum correlations.
All pure bipartite entangled states can be self-tested
TLDR
This work addresses the long-standing open question of whether every pure bipartite entangled state is self-testable and answers it affirmatively by providing explicit self-testing correlations for all such states.
Beyond Bell's theorem: correlation scenarios
TLDR
This work considers scenarios which feature several sources, but no choice of measurement for the observers, and describes examples of (quantum) non-locality in some of these scenarios, while posing many open problems along the way.
Limits on nonlocal correlations from the structure of the local state space
The outcomes of measurements on entangled quantum systems can be nonlocally correlated. However, while it is easy to write down toy theories allowing arbitrary nonlocal correlations, those allowed in
A glance beyond the quantum model
One of the most important problems in physics is to reconcile quantum mechanics with general relativity, and some authors have suggested that this may be realized at the expense of having to drop the
Local orthogonality as a multipartite principle for quantum correlations.
TLDR
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.
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