Thesis supervisor: Orsolya Kálmán
Location of studies (in Hungarian): Wigner Research Centre for Physics Abbreviation of location of studies: BME
Description of the research topic:
Quantum information processing is a promising field for applications for computation, simulation as well as communication, where the quantum mechanical evolution provides a clear advantage over classical methods. The usual assumption in quantum information theory is that the time evolution of the physical systems is linear. If this constraint is relieved, and a nonliear equation governs the dynamics of the system, then – in principle – one could design quantum protocols, which could effieciently solve poblems that are hard even for usual quantum algorithms. The linearity of the evolution may be changed if one considers quantum measurements and selection from an ensemble according to the result. Then, the effective time evolution will be described by complex rational functions, and thus, the dynamics will possess convergent and chaotic regimes. Elements of such nonlinear protocols have successfully been tested in photonic experiments. They might also be implemented on existing quantum computer platforms.
In the proposed PhD topic we aim at studying how such nonlinear quantum dynamics could be harnessed for quantum information processing tasks, algorithms, and computations due to their inherent sensitivity to the initial conditions, and their possible tolerance to initial noise. The research will involve the mathematical analysis of complex rational functions and classical numerical/quantum simulations of iterative nonlinear quantum evolution .
Required language skills: English Further requirements: linear algebra, coding in a scientific programming language, prior knowledge in quantum theory is an advantage
Number of students who can be accepted: 1
Deadline for application: 2020-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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