How much secure randomness is in a quantum state?
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916466805178368 |
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| author | Anco, Kriss Gutierrez Nemoz, Tristan Brown, Peter |
| author_facet | Anco, Kriss Gutierrez Nemoz, Tristan Brown, Peter |
| contents | How much cryptographically-secure randomness can be extracted from a quantum state? This fundamental question probes the absolute limits of quantum random number generation (QRNG) and yet, despite the technological maturity of QRNGs, it remains unsolved. In this work we consider a general adversarial model that allows for an adversary who has quantum side-information about both the source and the measurement device. Using links between randomness extraction rates and sandwiched Rényi entropies, we provide compact, easy to compute, achievable rates of secure randomness extraction from quantum states. In turn, this provides a simple to evaluate benchmarking tool for the randomness generation rates of QRNG protocols. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How much secure randomness is in a quantum state? Anco, Kriss Gutierrez Nemoz, Tristan Brown, Peter Quantum Physics How much cryptographically-secure randomness can be extracted from a quantum state? This fundamental question probes the absolute limits of quantum random number generation (QRNG) and yet, despite the technological maturity of QRNGs, it remains unsolved. In this work we consider a general adversarial model that allows for an adversary who has quantum side-information about both the source and the measurement device. Using links between randomness extraction rates and sandwiched Rényi entropies, we provide compact, easy to compute, achievable rates of secure randomness extraction from quantum states. In turn, this provides a simple to evaluate benchmarking tool for the randomness generation rates of QRNG protocols. |
| title | How much secure randomness is in a quantum state? |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.16447 |