Certified randomness in tight space

Abstract

Reliable randomness is a core ingredient in algorithms and applications ranging from numerical simulations to statistical sampling and cryptography. The outcomes of measurements on entangled quantum states can violate Bell inequalities, thus guaranteeing their intrinsic randomness. This constitutes the basis for certified randomness generation. However, this certification requires spacelike separated devices, making it unfit for a compact apparatus. Here we provide a general method for certified randomness generation on a small-scale application-ready device and perform an integrated photonic demonstration combining a solid-state emitter and a glass chip. In contrast to most existing certification protocols, which in the absence of spacelike separation are vulnerable to loopholes inherent to realistic devices, the protocol we implement accounts for information leakage and is thus compatible with emerging compact scalable devices. We demonstrate a 2-qubit photonic device that achieves the highest standard in randomness yet is cut out for real-world applications. The full 94.5-hour-long stabilized process harnesses a bright and stable single-photon quantum-dot based source, feeding into a reconfigurable photonic chip, with stability in the milliradian range on the implemented phases and consistent indistinguishability of the entangled photons above 93%. Using the contextuality framework, we certify private randomness generation and achieve a rate compatible with randomness expansion secure against quantum adversaries.

20 pages, 11 figures. Improved manuscript, close to published version

References in corpus (40)

• Bell nonlocality
• Random Numbers Certified by Bell's Theorem
• Near optimal single photon sources in the solid state
• Multidimensional quantum entanglement with large-scale integrated optics
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• Charge noise and spin noise in a semiconductor quantum device
• The Sheaf-Theoretic Structure Of Non-Locality and Contextuality
• Distribution of time-bin qubits over 50 km of optical fiber
• Graph-Theoretic Approach to Quantum Correlations
• Randomness vs Non Locality and Entanglement
• Loopholes in Bell Inequality Tests of Local Realism
• Device independent quantum random number generation
• A Combinatorial Approach to Nonlocality and Contextuality
• Experimentally Generated Randomness Certified by the Impossibility of Superluminal Signals
• Security of practical private randomness generation
• Simple and tight device-independent security proofs
• The contextual fraction as a measure of contextuality
• Device-independent randomness expansion against quantum side information
• More Randomness from the Same Data
• Bright Polarized Single-Photon Source Based on a Linear Dipole
• Entropy accumulation
• Logical Bell Inequalities
• Using complete measurement statistics for optimal device-independent randomness evaluation
• Device-independent Randomness Expansion with Entangled Photons
• 18.8 Gbps real-time quantum random number generator with a photonic integrated chip
• Security and Composability of Randomness Expansion from Bell Inequalities
• Hong-Ou-Mandel Interference with Imperfect Single Photon Sources
• Entropy accumulation with improved second-order term
• Perceval: A Software Platform for Discrete Variable Photonic Quantum Computing
• Experimental Realization of Device-Independent Quantum Randomness Expansion
• Experimental Low-Latency Device-Independent Quantum Randomness
• Emission-frequency separated high quality single-photon sources enabled by phonons
• Device-Independent Randomness Generation in the Presence of Weak Cross-Talk
• Fast and selective phonon-assisted state preparation of a quantum dot by adiabatic undressing
• A framework for quantum-secure device-independent randomness expansion
• Efficient Pulse-Excitation Techniques for Single Photon Sources from Quantum Dots in Cavities
• Device-independent randomness generation from several Bell estimators
• Randomness expansion secured by quantum contextuality
• Violation of Bell's inequality with quantum-dot single-photon sources

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• Evaluating Quantumness, Efficiency and Cost of Quantum Random Number Generators via Photon Statistics
• Self-Testing Graph States Permitting Bounded Classical Communication