# Nonlocality of cluster states of qubits

@article{Scarani2005NonlocalityOC, title={Nonlocality of cluster states of qubits}, author={Valerio Scarani and Antonio Ac{\'i}n and Emmanuel Schenck and Markus Aspelmeyer}, journal={Physical Review A}, year={2005}, volume={71}, pages={042325} }

We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state of a small number of connected qubits (five, in the case of one-dimensional lattices). In addition, we derive a Bell inequality that is maximally violated by the four-qubit cluster state and is not violated by the four-qubit GHZ state.

## 132 Citations

Nonlocality of cluster states of qubits SCARANI , Valerio

- 2019

We investigate cluster states of qubits with respect to their nonlocal properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it…

Quantum nonlocality of generic family of four-qubit entangled pure states*

- Physics
- 2015

We directly introduce a Bell-type inequality for four-qubit systems. Using the inequality we investigate quantum nonlocality of a generic family of states |Gabcd〉 [Phys. Rev. A 65 052112 (2002)] and…

Constructing Bell Inequality of Four-Qubit Entangled States

- Physics
- 2012

In this paper, a Bell inequality is given to study the nonlocality of four-qubit states. It is shown that the inequality is maximally violated by the four-qubit state |ψ〉. Some other states, such as…

A QUANTUM SPLITTING SCHEME OF ARBITRARY TWO-QUBIT STATE USING FOUR-QUBIT CLUSTER STATE

- Physics
- 2008

In this paper, we explore the channel capacity of the 4-qubit 4-term cluster state (i.e. (|0000〉 + |0011〉 + |1100〉 - |1111〉)/2) for splitting arbitrary two-qubit quantum information. After our…

Quantum nonlocality of four-qubit entangled states

- Physics
- 2007

We derive a Bell inequality for testing violation of local realism. Quantum nonlocality of several four-qubit states is investigated. These include the Greenberger-Zeilinger-Horne (GHZ) state, W…

Multipartite entangled states with two bosonic modes and qubits

- Physics
- 2010

Abstract.
We theoretically investigate the role of different phases of coupling constants in the dynamics of atoms and two cavity modes, observing deterministic generation of prototype or hybrid…

Multipartite entanglement in four-qubit graph states

- Mathematics
- 2016

Abstract
We consider a compendium of the non-trivial four-qubit graphs, derive their corresponding
quantum states and classify them into equivalent classes. We use Meyer-Wallach measure and
its…

Experiments of quantum nonlocality with polarization-momentum entangled photon pairs

- Physics
- 2007

We present the results of some experimental tests of quantum nonlocality performed by two-photon states, entangled both in polarization and momentum, namely hyperentangled states and two-photon…

Testing the nonlocality of entangled states by a new Bell-like inequality

- Physics
- 2013

We test a new four-qubit entangled state by the former Bell-like inequalities and find that it violates these inequalities, but not maximally. According to this entangled state, we build a new…

## References

SHOWING 1-2 OF 2 REFERENCES

Quantum Computation and Quantum Information

- Physics
- 2000

Preface Acknowledgement Nomenclature and notation Part I. Fundamental Concepts: 1. Introduction and overview 2. Introduction to quantum mechanics 3. Introduction to computer science Part II. Quantum…

andZ; so the result holds for general operatorsAk, Bk, etc., as it should for a Bell-type inequality

- Phys. Rev. Lett.93,
- 2004