Using complete measurement statistics for optimal device-independent randomness evaluation

DOI10.1088/1367-2630/16/1/013035zbMath1451.81037arXiv1309.3930OpenAlexW3098445883MaRDI QIDQ3387981

Jonathan Silman, O. Nieto-Silleras, Stefano Pironio

Publication date: 8 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3930

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40) Contextuality in quantum theory (81P13) Entanglement measures, concurrencies, separability criteria (81P42)

Related Items (10)

Device-independent self-testing of unsharp measurements ⋮ Sharing genuine entanglement of generalized tripartite states by multiple sequential observers ⋮ More randomness from the same data ⋮ Optimal randomness certification in the quantum steering and prepare-and-measure scenarios ⋮ Optimal randomness generation from optical Bell experiments ⋮ Comparing different approaches for generating random numbers device-independently using a photon pair source ⋮ All the self-testings of the singlet for two binary measurements ⋮ Bipartite Bell inequalities with three ternary-outcome measurements—from theory to experiments ⋮ Randomness in post-selected events ⋮ Device-independent randomness certification using multiple copies of entangled states

Uses Software

• SeDuMi
• YALMIP

Cites Work

• Signal-locality in hidden-variables theories
• ``Positive noncommutative polynomials are sums of squares.
• Bell Inequalities for Arbitrarily High-Dimensional Systems
• Certifiable quantum dice
• Private randomness expansion with untrusted devices
• Convergent Relaxations of Polynomial Optimization Problems with Noncommuting Variables
• Extreme quantum entanglement in a superposition of macroscopically distinct states
• The Operational Meaning of Min- and Max-Entropy
• Proposed Experiment to Test Local Hidden-Variable Theories
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