BEGIN:VCALENDAR
VERSION:2.0
PRODID:Icfo
X-PUBLISHED-TTL:P1W
BEGIN:VEVENT
UID:69d0d2931be57
DTSTART:20221013T080000Z
SEQUENCE:0
TRANSP:OPAQUE
LOCATION:Auditorium
SUMMARY:ICFO | CHUNG-YUN HSIEH
CLASS:PUBLIC
DESCRIPTION:As one of our most successful theories\, quantum theory has gre
 atly strengthened our understanding of nature and significantly advanced t
 echnologies. pecifically\, quantum effects provide advantages in a broad r
 ange of information processing tasks. The exploration of the interplay of 
 quantum phenomena and information theory is the interdisciplinary field du
 bbed quantum information theory. Since its inception\, quantum information
  theory has revolutionised our understanding of quantum phenomena and show
 n that various quantum properties act as resources for performing useful t
 asks\, such as computation\, information transmission\, energy extraction\
 , cryptography\, metrology\, and information storage. These findings set t
 he stage for the theoretical approaches termed quantum resource theories\,
  which allow in a mathematically rigorous fashion to describe a wide range
  of quantum phenomena. Quantum information theory identifies several intri
 guing quantum properties\, and quantum resource theories provide the means
  to construct the &lsquo\;rulers&rsquo\; to measure these properties opera
 tionally. However\, despite their great success in describing &lsquo\;stat
 ic&rsquo\; quantum phenomena\, it was unknown whether resource theories wo
 uld be as powerful in their descriptions of physical systems that &lsquo\;
 evolve in time&rsquo\;\, namely\, when we consider &lsquo\;dynamical&rsquo
 \; quantum properties. Recent results have allowed us to extend quantum re
 source theories to the dynamical regime\, which has already revealed novel
  links between quantum communication\, quantum memory\, and quantum thermo
 dynamics. This thesis aims at substantially developing this newly-establis
 hed\, interdisciplinary research direction that is called dynamical resour
 ce theories.\nThe main contributions of the thesis are divided into three 
 parts. The first part focuses on improving our understanding of dynamical 
 resource theories' general structures. Adopting the resource-theoretical a
 pproaches\, we formulate `the ability of quantum dynamics to preserve a ph
 ysical property' as a dynamical resource. The resulting framework is calle
 d resource preservability theories. We systematically study their theoreti
 cal structures and further explore their applications to communication and
  thermodynamics. In the second part\, we upgrade our discussion from a sin
 gle quantum dynamics to a collection of local quantum dynamics. In this re
 gime\, an important question is whether the given local dynamics can be re
 alised simultaneously\; namely\, as the marginals of a single\, global dyn
 amics. To systematically address this question\, we introduce the channel 
 marginal problems (CMPs)\, which are dynamical generalisations of the well
 -known state marginal problems.\nUsing the resource-theoretical approach\,
  we analyze CMPs' general solutions via semi-definite programming\, which 
 helps us derive a witness form and operational interpretations of CMPs. Fi
 nally\, in the last part\, we consider a specific question that is behind 
 the structures of dynamical resource theories and channel marginal problem
 s: We ask whether globally distributed quantum entanglement can survive lo
 cally performed thermalisation when shared randomness is the only allowed 
 resource to assist the process. Such a dynamics\, whenever it exists\, is 
 called entanglement preserving local thermalisation. We show that such dyn
 amics exist for every nonzero local temperatures and non-degenerate finite
 -energy local Hamiltonians.\nIn summary\, in this thesis we contribute to 
 the field of dynamical resource theories by introducing general frameworks
  to describe quantum resource preservation and compatibility of local quan
 tum dynamics. Our general results have implications across quantum physics
 \, quantum communication\, thermodynamics of quantum systems\, and causal 
 structures\n&nbsp\;\nThesis Directors: Prof Dr. Antonio Ac&iacute\;n and D
 r. Matteo Lostaglio
DTSTAMP:20260404T085755Z
END:VEVENT
END:VCALENDAR