Greenberger-Horne-Zeilinger paradoxes from qudit graph states
arXiv:1206.2718 · doi:10.1103/PhysRevLett.110.100403
Abstract
One fascinating way of revealing the quantum nonlocality is the all-versus-nothing test due to Greenberger, Horne, and Zeilinger (GHZ) known as GHZ paradox. So far genuine multipartite and multilevel GHZ paradoxes are known to exist only in systems containing an odd number of particles. Here we shall construct GHZ paradoxes for an arbitrary number (greater than 3) of particles with the help of qudit graph states on a special kind of graphs, called as GHZ graphs. Based on the GHZ paradox arising from a GHZ graph, we derive a Bell inequality with two -outcome observables for each observer, whose maximal violation attained by the corresponding graph state, and a Kochen-Specker inequality testing the quantum contextuality in a state-independent fashion.
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Cited by in corpus (10)
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- Exponentially Enhanced Scheme for the Heralded Qudit GHZ State in Linear Optics
- Heralding Higher-Dimensional Bell and Greenberger-Horne-Zeilinger States Using Multiport Splitters
- Device-independent Verification of Quantum Coherence without Quantum Control
- Construction of State-independent Proofs for Quantum Contextuality
- Experimental implementation of Hardy-like quantum pigeonhole paradoxes
- Blindly Verifying Unknown Entanglement without State Tomography
- Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables
- Qudit Clauser-Horne-Shimony-Holt Inequality and Nonlocality from Wigner Negativity
- Nonexistence of Quantum Nonlocality