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Thesis topic proposal
 
Quantum Information Theory

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
mathematics and computing
Doctoral School of Mathematics and Computer Sciences

Thesis supervisor: Milán Mosonyi
Location of studies (in Hungarian): Department of Analysis
Abbreviation of location of studies: BME


Description of the research topic:

Quantum information theory provides the mathematically rigorous theoretical foundations to quantum information science, which promises technological applications like unconditionally secure communication, ultraprecise measurements (used, e.g., in gravitational wave detection), and superfast computation with quantum computers.

The aim of the project is to study the ultimate efficiency that can be achieved in quantum communication problems by determining trade-off curves between the operational quantities characterizing the problems, and to study the related entropy-like quantities of quantum states.

The research is motivated by physics, but is mathematical in nature. The tools used include matrix analysis, functional analysis, convex analysis, operator algebras, and of course the diverse toolset specific to quantum information theory. Prospective candidates should ideally have a deep interest, and have followed courses with excellent results, in one or more of the above subjects. Since the relevant literature is in English, a good command of English is necessary.

Required language skills: English
Number of students who can be accepted: 1

Deadline for application: 2024-05-31


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).

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )