Relation between semi- and fully-device-independent protocols
arXiv:1210.0486 · doi:10.1103/PhysRevA.87.020302
Abstract
We study the relation between semi and fully device independent protocols. As a tool, we use the correspondence between Bell inequalities and dimension witnesses. We present a method for converting the former into the latter and vice versa. This relation provides us with interesting results for both scenarios. First, we find new random number generation protocols with higher bit rates for both the semi and fully device independent cases. As a byproduct, we obtain whole new classes of Bell inequalities and dimension witnesses. Then, we show how optimization methods used in studies on Bell inequalities can be adopted for dimension witnesses.
published version
References in corpus (13)
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- No Signalling and Quantum Key Distribution
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Secure device-independent quantum key distribution with causally independent measurement devices
- Private Randomness Expansion With Untrusted Devices
- Randomness vs Non Locality and Entanglement
- 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
- Entanglement assisted random access codes
- Robustness of Device Independent Dimension Witnesses
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- The Magical Number Seven: An Unexpected Dimensional Threshold in Quantum Communication Complexity
- Detection efficiency and noise in semi-device independent randomness extraction protocol
- Device and semi-device independent random numbers based on non-inequality paradox
- Certified Randomness from Remote State Preparation Dimension Witness
- Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
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