Sökning: onr:"swepub:oai:DiVA.org:su-153425" >
Holonomy in Quantum...
Holonomy in Quantum Information Geometry
-
- Andersson, Ole (författare)
- Stockholms universitet,Fysikum,Stockholms universitet, Fysikum
-
- Bengtsson, Ingemar, Professor (preses)
- Stockholms universitet,Fysikum,Stockholms universitet, Fysikum
-
- Shapiro, Boris, Professor (opponent)
- Stockholms universitet,Matematiska institutionen,Stockholms universitet, Matematiska institutionen
-
(creator_code:org_t)
- Stockholm University, 2018
- Engelska.
- Relaterad länk:
-
https://su.diva-port...
-
visa fler...
-
https://kau.diva-por...
-
https://urn.kb.se/re...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- In this thesis we provide a uniform treatment of the two most popular non-adiabatic geometric phases for dynamical systems of mixed quantum states, namely those of Uhlmann and of Sjöqvist et al. We develop a holonomy theory for the latter which we also relate to the already existing theory for the former. This makes it clear what the similarities and differences between the two geometric phases are. We discuss and motivate constraints on the two phases. Furthermore, we discuss some topological properties of the holonomy of `real' quantum systems, and we introduce higher-order geometric phases for not necessarily cyclic dynamical systems of mixed states. In a final chapter we apply the theory developed for the geometric phase of Sjöqvist et al. to geometric uncertainty relations, including some new "quantum speed limits''.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Nyckelord
- Theoretical Physics
- teoretisk fysik
- Physics
Publikations- och innehållstyp
- vet (ämneskategori)
- lic (ämneskategori)
Hitta via bibliotek
Till lärosätets databas