Local quantum measurement and no-signaling imply quantum correlations.

@article{Barnum2010LocalQM,
  title={Local quantum measurement and no-signaling imply quantum correlations.},
  author={Howard Barnum and Salman Beigi and Sergio Boixo and Matthew B. Elliott and Stephanie Wehner},
  journal={Physical review letters},
  year={2010},
  volume={104 14},
  pages={
          140401
        }
}
We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that a Hilbert space is assigned to each party, and then all local positive-operator-valued measurements are (in principle) available; however, the joint system is not necessarily described by a Hilbert space. In particular, we do not assume the tensor product… 

Figures from this paper

Joint System Quantum Descriptions Arising from Local Quantumness
Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as
Local Quantum Measurement Demands Type-Sensitive Information Principles for Global Correlations
Physical theories with local structure similar to quantum theory can allow beyond-quantum global states that are in agreement with unentangled Gleason’s theorem. In a standard Bell experiment any
Algebraic probability-theoretic characterization of quantum correlations
Quantum entanglement and nonlocality are inequivalent notions: There exist entangled states that nevertheless admit local-realistic interpretations. This paper studies a special class of
From no-signalling to quantum states
Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. Entanglement breaks bounds on correlations put by Bell’s theorem, thus
Typical local measurements in generalized probabilistic theories: emergence of quantum bipartite correlations.
TLDR
It is found that if only a subset of typical local measurements can be made then all the bipartite correlations produced in a GPT can be simulated to a high degree of accuracy by quantum mechanics.
Computability limits nonlocal correlations
If the no-signalling principle was the only limit to the strength of non-local correlations, we would expect that any form of no-signalling correlation can indeed be realized. That is, there exists a
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
Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
The existence of contextuality in quantum mechanics is a fundamental departure from the classical description of the world. Currently, the quest to identify scenarios which cannot be more contextual
Bell measurement ruling out supraquantum correlations
The so called bipartite non-signaling boxes are systems whose statistics is constrained solely by the principle of no instantaneous signaling between distant locations. Such systems can exhibit much
...
...

References

SHOWING 1-10 OF 66 REFERENCES
Limit on nonlocality in any world in which communication complexity is not trivial.
TLDR
A partial answer to the question why are the correlations achievable by quantum mechanics not maximal among those that preserve causality is given by showing that slightly stronger correlations would result in a world in which communication complexity becomes trivial.
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.
Quantum states and generalized observables: a simple proof of Gleason's theorem.
  • P. Busch
  • Physics
    Physical review letters
  • 2003
TLDR
A simple proof of the result, analogous to Gleason's theorem, that any quantum state is given by a density operator, and a von Neumann-type argument against noncontextual hidden variables is obtained.
Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements
We prove a Gleason-type theorem for the quantum probability rule using frame functions defined on positive-operator-valued measures (POVMs), as opposed to the restricted class of orthogonal
The Physics of No-Bit-Commitment: Generalized Quantum Non-Locality Versus Oblivious Transfer
TLDR
This work shows that the recent work of Wolf and Wullschleger on oblivious transfer apparently opens the possibility that non-local correlations which are stronger than those in quantum mechanics could be used for bit-commitment, and resolves this apparent paradox by stressing the difference between non- local correlations and oblivious transfer.
Violation of Bell's inequality in Josephson phase qubits
TLDR
This experiment uses a pair of Josephson phase qubits acting as spin-1/2 particles, and shows that the qubits can be entangled and measured so as to violate the Clauser–Horne–Shimony–Holt (CHSH) version of the Bell inequality.
A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
TLDR
It is shown that in some cases it is possible to conclude that a given set of correlations is quantum after performing only a finite number of tests, and used in particular to bound the quantum violation of various Bell inequalities.
Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem
It is argued that among possible nonlocal hidden-variable theories a particular class (called here “crypto-nonlocal” or CN) is relatively plausible on physical grounds. CN theories have the property
An experimental test of non-local realism
TLDR
This work shows by both theory and experiment that a broad and rather reasonable class of such non-local realistic theories is incompatible with experimentally observable quantum correlations, and suggests that giving up the concept of locality is not sufficient to be consistent with quantum experiments, unless certain intuitive features of realism are abandoned.
Quantum nonlocality as an axiom
In the conventional approach to quantum mechanics, indeterminism is an axiom and nonlocality is a theorem. We consider inverting the logical order, making nonlocality an axiom and indeterminism a
...
...