Optimal quantum random number generation from a black box
Udbyder
Vejleder
Sted
København og omegn
Random numbers play a key role in modern information security, for secure communication and for protecting secret data. Cryptographic protocols require random numbers to ensure security of the encryption. Random numbers are also an important resource for stochastic simulations used in many branches of science, as well as for games and gambling. For security applications (and also for gambling), the most important property of the random numbers is that they need to be unpredictable to any potential adversary who might try to gain access to the data. Designing a perfectly unpredictable process, however, is much harder than it might first appear. The fact that true unpredictability is very hard to create motivates the development of random-number generators based on quantum physics. Quantum mechanics is in fact the only branch of physics where unpredictability can be guaranteed directly from the fundamental laws of nature.
There are many possible approaches to quantum random number generation (QRNG), and QRNG has been demonstrated in many physical systems and is now also commercially available. The strongest security is obtain in settings where only few assumptions are placed on the devices used in the implementation. Ideally, one would like to certify randomness while treating the device as a black box. Recent research at DTU Physics has shown that randomness can be certified from an untrusted measurement device by probing it with laser light, using states that are simple to realise in the lab. This is exciting as it means high security can be combined with accessible technology. However, we do not know how close this simple protocol is to being optimal.
In this project, you will determine the maximal amount of randomness which can be certified from a black-box measurement by probing it with three quantum states as well as what the optimal states are. The project will involve concepts from quantum information theory and numerical tools for convex optimisation, in particular semidefinite programming.
Forudsætninger
Quantum Mechanics. A prior course or experience with quantum information is an advantage.
Emneord
Tags Kontakt Virksomhed/organisationDTU Fysik
Navn
Jonatan Bohr Brask
Stilling
Lektor
Mail
jobb@fysik.dtu.dk
Vejleder-info
Bachelor i Fysik og Ingeniørvidenskab
Vejleder
Jonatan Bohr Brask
ECTS-point
5 - 15
Type
Bachelorprojekt, Specialkursus
Skal have taget
10102 Kvantemekanik or similar.
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