Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 51: Poster: Quantum Optics and Photonics IV
Q 51.42: Poster
Wednesday, March 7, 2018, 16:15–18:15, Redoutensaal
Estimating the min-entropy of quantum random processes by exploiting Wigner functions — •Johannes Seiler1, Thomas Strohm2, and Wolfgang P. Schleich1,3 — 1Institut für Quantenphysik & Center for Integrated Quantum Science and Technology IQST, Universität Ulm, D-89069 Ulm — 2Robert Bosch GmbH — 3Hagler Institute for Advanced Study, Institute forQuantum Science and Engineering (IQSE), and Texas A&M AgriLifeResearch, Texas A&M University, College Station, TX 77843-4242, USA.
An important advantage of a quantum random number generator (QRNG), compared to its classical counterparts, is that quantum mechanics ensures that the generated random numbers are, even in principle, not predictable. However, since QRNG devices are never completely perfect, there is always a classical noise contribution, which in principle allows one to retrieve information about the generated numbers. Hence, a crucial problem is to quantify how much of the data really originates from the underlying quantum mechanical process. This quantity can be expressed in terms of the min-entropy Hmin(B|E) of the outcome random variable B conditioned on the environment E. Knowing this quantity, it is possible to create true random numbers from the raw numbers. However, it can be difficult to obtain Hmin(B|E), or a good lower bound on it, from measurable quantities. In this poster, we investigate this problem for a simple spin-1/2 system. By using the Wigner function of the system and the measurement operator, we provide new insight into obtaining the optimal lower bound of Hmin(B|E).