Semi-device-independent randomness expansion with partially free random sources
arXiv:1503.03691 · doi:10.1103/PhysRevA.92.022331
Abstract
By proposing device-independent protocols, S. Pironio et al. [Nature 464, 1021-1024 (2010)] and R. Colbeck et al. [Nature Physics 8, 450-453 (2012)] proved that new randomness can be generated by using perfectly free random sources or partially free ones as seed. Subsequently, Li et al. [Phys. Rev. A 84, 034301 (2011)] studied this topic in the framework of semi-device-independent and proved that new randomness can be obtained from perfectly free random sources. Here we discuss whether and how partially free random sources bring us new randomness in semi-device-independent scenario. We propose a semi-device-independent randomness expansion protocol with partially free random sources, and obtain the condition that the partially free random sources should satisfy to generate new randomness. In the process of analysis, we acquire a new 2-dimensional quantum witness. Furthermore, we get the analytic relationship between the generated randomness and the 2-dimensional quantum witness violation.
8 pages, 3 figures
References in corpus (8)
- Free randomness can be amplified
- Private Randomness Expansion With Untrusted Devices
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- Semi-device independent random number expansion without entanglement
- Semi-device independent random number expansion protocol with n to 1 quantum random access codes
- Security and Composability of Randomness Expansion from Bell Inequalities
- Weak randomness completely trounces the security of QKD
Cited by in corpus (4)
- A Comprehensive Review of Quantum Random Number Generators: Concepts, Classification and the Origin of Randomness
- Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
- Bounds on semi-device-independent quantum random number expansion capabilities
- Semi-device independent randomness certification using Mermin's proof of Kochen-Specker contextuality