Superactivation of quantum nonlocality.

@article{Palazuelos2012SuperactivationOQ,
  title={Superactivation of quantum nonlocality.},
  author={Carlos Palazuelos},
  journal={Physical review letters},
  year={2012},
  volume={109 19},
  pages={
          190401
        }
}
In this Letter we show that quantum nonlocality can be superactivated. That is, one can obtain violations of Bell inequalities by tensorizing a local state with itself. In the second part of this work we study how large these violations can be. In particular, we show the existence of quantum states with very low Bell violation but such that five copies of them give very large violations. In fact, this gap can be made arbitrarily large by increasing the dimension of the states. 
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References

SHOWING 1-10 OF 51 REFERENCES
Collective tests for quantum nonlocality.
  • Pérès
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1996
Pairs of spin-1/2 particles are prepared in a Werner state (namely, a mixture of singlet and random components). If the random component is large enough, the statistical results of spin measurements…
Quantum networks reveal quantum nonlocality.
TLDR
This work shows, using its framework, how any one-way entanglement distillable state leads to nonlocal correlations and proves that quantum nonlocality is a non-additive resource, which can be activated.
Noise robustness of the nonlocality of entangled quantum states.
TLDR
This work constructs a local model for the case in which rho is maximally entangled and p is at or below a certain bound, and extends the model to arbitrary rho, providing bounds on the resistance to noise of the nonlocal correlations of entangled states.
Maximal violation of Bell's inequality for arbitrarily large spin
Operator space theory: a natural framework for bell inequalities.
TLDR
This Letter illustrates the power of the field of operator space theory by showing that bipartite quantum states with local, Hilbert space dimension n can violate a Bell inequality by a factor of order sqrt[n]/(log{2}n) when observables with n possible outcomes are used.
Superactivation of bound entanglement.
TLDR
It is shown that, in a multiparty setting, two nondistillable (bound-entangled) states tensored together can make a distillable state, providing the first proof that some states are truly bound-entangling in the sense of being both nondistillsable and nonseparable asymptotically.
Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality
We present a local-hidden-variable model for positive-operator-valued measurements (an LHVPOV model) ) on a class of entangled generalized Werner states, thus demonstrating that such measurements do…
All bipartite entangled States display some hidden nonlocality.
TLDR
It is demonstrated that a violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality can be demonstrated in a certain kind of Bell experiment for all entangled states, and it is proved that for each entangled state sigma, there exists another state rho not violating the CHSH inequality.
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model.
  • Werner
  • Physics
    Physical review. A, General physics
  • 1989
TLDR
Any classically correlated state can be modeled by a hidden-variable theory and hence satisfies all generalized Bell's inequalities and the converse of this statement is false.
Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel
TLDR
It is proved that there exist pairs of quantum channels, neither of which individually have any zero-error capacity whatsoever, but such that access to even a single copy of both channels allows classical information to be sent perfectly reliably.
...
...