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X-PUBLISHED-TTL:P1W
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UID:69f2437e301ad
DTSTART:20201117T153000Z
SEQUENCE:0
TRANSP:OPAQUE
LOCATION:Online (Zoom)
SUMMARY:ICFO | ZAHRA KHANIAN
CLASS:PUBLIC
DESCRIPTION:This thesis addresses problems in the field of quantum informat
 ion theory\, specifically\, quantum Shannon theory. The first part of the 
 thesis is opened with concrete definitions of general quantum source model
 s and their compression\, and each subsequent chapter addresses the compre
 ssion of a specific source model as a special case of the initially define
 d general models. First\, we find the optimal compression rate of a genera
 l mixed state source which includes as special cases all the previously st
 udied models such as Schumacher&rsquo\;s pure and ensemble sources and oth
 er mixed state ensemble models. For an interpolation between the visible a
 nd blind Schumacher&rsquo\;s ensemble model\, we find the optimal compress
 ion rate region for the entanglement and quantum rates. Later\, we compreh
 ensively study the classical-quantum variation of the celebrated Slepian-W
 olf problem and find the optimal rates considering per-copy fidelity\; wit
 h block fidelity we find single letter achievable and converse bounds whic
 h match up to continuity of a function appearing in the bounds. The first 
 part of the thesis is closed with a chapter on the ensemble model of quant
 um state redistribution for which we find the optimal compression rate con
 sidering per-copy fidelity and single-letter achievable and converse bound
 s matching up to continuity of a function which appears in the bounds.\nTh
 e second part of the thesis revolves around information theoretical perspe
 ctive of quantum thermodynamics. We start with a resource theory point of 
 view of a quantum system with multiple non-commuting charges where the obj
 ects and allowed operations are thermodynamically meaningful\; using tools
  from quantum Shannon theory we classify the objects and find explicit qua
 ntum operations which map the objects of the same class to one another. Su
 bsequently\, we apply this resource theory framework to study a traditiona
 l thermodynamics setup with multiple non-commuting conserved quantities co
 nsisting of a main system\, a thermal bath and batteries to store various 
 conserved quantities of the system. We state the laws of the thermodynamic
 s for this system\, and show that a purely quantum effect happens in some 
 transformations of the system\, that is\, some transformations are feasibl
 e only if there are quantum correlations between the final state of the sy
 stem and the thermal bath.
DTSTAMP:20260429T174430Z
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