Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources

Abstract

Reproducing with elementary resources the correlations that arise when a quantum system is measured (quantum state simulation), allows one to get insight on the operational and computational power of quantum correlations. We propose a family of models that can simulate von Neumann measurements in the x-y plane of the Bloch sphere on n-partite GHZ states using only bipartite nonlocal boxes. For the tripartite and fourpartite states, the models use only bipartite nonlocal boxes; they can be translated into classical communication schemes with finite average communication cost.

15 pages, 4 figures, published version

References in corpus (5)

• The Communication Cost of Simulating Bell Correlations
• Quantifying multipartite nonlocality
• Simulation of partial entanglement with nonsignaling resources
• Modeling Pauli measurements on graph states with nearest-neighbor classical communication
• The GHZ state in secret sharing and entanglement simulation

Cited by in corpus (6)

• Classical simulation of entanglement swapping with bounded communication
• Quantifying the nonlocality of GHZ quantum correlations by a bounded communication simulation protocol
• Quantifying multipartite nonlocality via the size of the resource
• Remote Sampling with Applications to General Entanglement Simulation
• Exact simulation of the GHZ distribution
• Simulating equatorial measurements on GHZ states with finite expected communication cost