# Quantum nonlocality in two three-level systems

@article{Acn2002QuantumNI, title={Quantum nonlocality in two three-level systems}, author={Antonio Ac{\'i}n and Thomas Durt and Nicolas Gisin and Jos{\'e} Ignacio Latorre}, journal={Physical Review A}, year={2002}, volume={65}, pages={052325} }

Recently a new Bell inequality has been introduced (CGLMP,KKCZO) that is strongly resistant to noise for maximally entangled states of two d-dimensional quantum systems. We prove that a larger violation, or equivalently a stronger resistance to noise, is found for a non-maximally entangled state. It is shown that the resistance to noise is not a good measure of non-locality and we introduce some other possible measures. The non-maximally entangled state turns out to be more robust also for…

## 14 Citations

Multipartite quantum nonlocality under local decoherence

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- 2012

We study the nonlocal properties of two-qubit maximally-entangled and N-qubit Greenberger-Horne-Zeilinger states under local decoherence. We show that the (non)resilience of entanglement under local…

More nonlocality with less entanglement

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- 2011

Recent numerical investigations [K. Pal and T. Vertesi, Phys. Rev. A 82, 022116 (2010)] suggest that the I3322 inequality, arguably the simplest extremal Bell inequality after the CHSH inequality,…

Analysing nonlocality robustness in multiqubit systems under noisy conditions and weak measurements

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- 2018

The results show that for a set of three- and four-qubit GHZ class states, maximal nonlocality does not coincide with maximum entanglement for a given noise parameter and a certain range of weak measurement parameter.

Nonclassicality of pure two-qutrit entangled states

- Physics
- 2012

We report an exhaustive numerical analysis of violations of local realism by two qutrits in all possible pure entangled states. In Bell-type experiments we allow any pair of local unitary U(3)…

Towards an equivalence between maximal entanglement and maximal quantum nonlocality

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- 2018

While all bipartite pure entangled states are known to generate correlations violating a Bell inequality, and are therefore nonlocal, the quantitative relation between pure state entanglement and…

Noise robustness of the nonlocality of entangled quantum states.

- PhysicsPhysical review letters
- 2007

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.

Measure of nonlocality which is maximal for maximally entangled qutrits

- Physics
- 2015

There is no doubt about the fact that entanglement and nonlocality are distinct resources. It is acknowledged that a clear illustration of this point is the difference between maximally entangled…

Bell scenarios in which nonlocality and entanglement are inversely related

- Mathematics
- 2014

We show that for two-qubit chained Bell inequalities with an arbitrary number of measurement settings, nonlocality and entanglement are not only different properties but are inversely related.…

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- 2010

Qubits exhibit extreme nonlocality when their state is maximally entangled and this is observed by mutually unbiased local measurements. This criterion does not hold for the Bell inequalities of…

On global effects caused by locally noneffective unitary operations

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The distance between ρ and the global state after local application of such unitaries as a possible indicator of entanglement is investigated and closed formulae for the maximal such distance achievable are derived for three cases of interest: (pseudo)pure quantum states, Werner states, and two-qubit states.