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17 papers · 2 filters
Couplers for Non-Locality Swapping
Paul Skrzypczyk, Nicolas Brunner
Studying generalized non-local theories brings insight to the foundations of quantum mechanics. Here we focus on non-locality swapping, the analogue of quantum entanglement swappin…
Testing a Bell inequality in multi-pair scenarios
Jean-Daniel Bancal, Cyril Branciard, Nicolas Brunner +3
To date, most efforts to demonstrate quantum nonlocality have concentrated on systems of two (or very few) particles. It is however difficult in many experiments to address individ…
Quantum algorithm for solving linear systems of equations
Aram W. Harrow, Avinatan Hassidim, Seth Lloyd
Solving linear systems of equations is a common problem that arises both on its own and as a subroutine in more complex problems: given a matrix A and a vector b, find a vector x s…
Emergence of Quantum Correlations from Non-Locality Swapping
Paul Skrzypczyk, Nicolas Brunner, Sandu Popescu
By studying generalized non-signalling theories, the hope is to find out what makes quantum mechanics so special. In the present paper, we revisit the paradigmatic model of non-sig…
Efficient Quantum Tensor Product Expanders and k-designs
Aram W. Harrow, Richard A. Low
Quantum expanders are a quantum analogue of expanders, and k-tensor product expanders are a generalisation to graphs that randomise k correlated walkers. Here we give an efficient…
Separability bounds on multiqubit moments due to positivity under partial transpose
A R Usha Devi, A K Rajagopal
Positivity of the density operator reflects itself in terms of sequences of inequalities on observable moments. Uncertainty relations for non-commuting observables form a subset of…