Simulating equatorial measurements on GHZ states with finite expected communication cost

2011/12/14 by Gilles Brassard, Marc Kaplan, Brassard, Gilles +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1112.3382

11 pages, 1 figure

arxiv created 2011/12/14 · arxiv updated 2011/12/16

Abstract

The communication cost of simulating probability distributions obtained by measuring quantum states is a natural way to quantify quantum non-locality. While much is known in the case of bipartite entanglement, little has been done in the multipartite setting. In this paper, we focus on the GHZ state. Specifically, equatorial measurements lead to correlations similar to the ones obtained with Bell states. We give a protocol to simulate these measurements on the n-partite GHZ state using O(n²) bits of communication on average.

Related

• Efficient classical-communication-assisted local simulation of n-qubit GHZ correlations
• Stronger Nonlocality in GHZ States: A Step Beyond the Conventional GHZ Paradox
• Nonlocal Variable-Strength Measurements of N Qubits Using GHZ-like Entanglement
• Communication Cost in Simulating Unknown Entangled States
• Quantum secret sharing using pseudo-GHZ states