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SUMMARY:Landauer's Principle in Repeated Interaction Systems - Yan Pautrat
 \, Paris-Sud University
DTSTART:20180504T143000Z
DTEND:20180504T153000Z
UID:TALK105568@talks.cam.ac.uk
CONTACT:Rachel Furner
DESCRIPTION:We study Landauer's principle for repeated interaction systems
  consisting of a reference quantum system S in contact with an environment
  E made of a chain of independent quantum probes. The system S interacts w
 ith each probe sequentially\, and the Landauer principle relates the energ
 y variation of E and the decrease of entropy of S. We consider the adiabat
 ic regime where the chain contains T probes and displays variations of ord
 er 1/T between the successive probes. We consider refinements of the Landa
 uer bound at the level of the full statistics (FS) associated with a two-t
 ime measurement protocol. At the technical level\, our results rely on a n
 on-unitary adiabatic theorem and and an analysis of the spectrum of comple
 x deformations of families of irreducible completely positive trace-preser
 ving maps. This is joint work with Eric Hanson\, Alain Joye and Renaud Raq
 uépas.
LOCATION:MR2 Centre for Mathematical Sciences
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