Bipartite all-versus-nothing proofs of Bell's theorem with single-qubit measurements

Abstract

If we distribute n qubits between two parties, which quantum pure states and distributions of qubits would allow all-versus-nothing (or Greenberger-Horne-Zeilinger-like) proofs of Bell's theorem using only single-qubit measurements? We show a necessary and sufficient condition for the existence of these proofs for any number of qubits, and provide all distinct proofs up to n=7 qubits. Remarkably, there is only one distribution of a state of n=4 qubits, and six distributions, each for a different state of n=6 qubits, which allow these proofs.

arXiv commentREVTeX4, 4 pages, 2 figures

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Cited by in corpus (11)

• Entanglement detection
• Experimental Entanglement and Nonlocality of a Two-Photon Six-Qubit Cluster State
• Six-qubit two-photon hyperentangled cluster states: characterization and application to quantum computation
• Entanglement in eight-qubit graph states
• Changing the circuit-depth complexity of measurement-based quantum computation with hypergraph states
• Generalized Ardehali-Bell inequalities for graph states
• New Kochen-Specker Sets in Four Dimensions
• Demonstration of a programmable source of two-photon multiqubit entangled states
• New Class of 4-Dim Kochen-Specker Sets
• Experimental Test of Bell inequalities with Six-Qubit Graph States
• All-versus-nothing proofs with n qubits distributed between m parties