Coherence as a resource for source-independent quantum random-number generation

Abstract

Measuring quantum states provides means to generate genuine random numbers. It has been shown that genuine randomness can be obtained even with an uncharacterized quantum source. In this work, we propose a framework that formalizes the idea of realizing source-independent quantum random number generation via measuring coherence. Without full state tomography, the coherence of the source can be estimated by coherence witnesses. The existing uncertainty-relation-based schemes can be treated as special cases under the coherence framework, as we design a nonlinear coherence witness that can essentially yield the same results. Meanwhile, we propose a source-independent random number generation scheme, which can achieve a higher randomness generation rate than the uncertainty-relation-based ones.

17 pages, 5 figures

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Cited by in corpus (13)

• Real-Time Source Independent Quantum Random Number Generator with Squeezed States
• Operational interpretation of coherence in quantum key distribution
• Quantum coherence as asymmetry from complex weak values
• Quantum Coherence Witness with Untrusted Measurement Devices
• One-shot Coherence Distillation with Catalysts
• Tomographic Witnessing and Holographic Quantifying of Coherence
• Common Coherence Witnesses and Common Coherent States
• The m-least significant bits operation for quantum random number generation
• Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
• Witnessing quantum coherence with prior knowledge of observables
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Estimating the privacy of quantum-random numbers
• Quantifying Coherence with Untrusted Devices