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SUMMARY:Recovery maps in quantum thermodynamics - Alvaro Martín Alhambra\
 , UCL
DTSTART:20161027T131500Z
DTEND:20161027T141500Z
UID:TALK67321@talks.cam.ac.uk
CONTACT:Steve Brierley
DESCRIPTION:One of the most active research lines in recent times in quant
 um information has been that of recoverability theorems. These\, roughly s
 peaking\, quantify how well  quantum information can be recovered after so
 me general CPTP map\, through particular recovery maps. In this talk\, I w
 ill outline what this line of work can teach us about quantum thermodynami
 cs\, and about the irreversibility of thermalization processes.\n\nThe rec
 overy map is associated with how well one can recover a state after a quan
 tum evolution and we show that the dynamical semigroups describing thermal
 ization\, namely Davies maps\, have the curious property of being their ow
 n recovery map\, as a consequence of a condition named quantum detailed ba
 lance. For these maps\, we derive a tight bound relating the entropy produ
 ction at time t with the state of the system at time 2t\, which puts a str
 ong constraint on how systems thermalize. I will also outline how the Petz
  recovery map appears in the derivation of quantum fluctuation theorems\, 
 as the reversed work-extraction process. These results give definite examp
 les of intriguing connections between informational and physical reversibi
 lity.
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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