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SUMMARY:Thermodynamic capacity of quantum processes - Philippe Faist (CALT
 ECH (California Institute of Technology))
DTSTART:20180724T100000Z
DTEND:20180724T104500Z
UID:TALK108286@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Thermodynamics imposes restrictions on what state transformati
 ons are possible. In the macroscopic limit of asymptotically many independ
 ent copies of a state&mdash\;as for instance in the case of an ideal gas&m
 dash\;the possible transformations become reversible and are fully charact
 erized by the free energy. Here\, we present a thermodynamic resource theo
 ry for quantum processes that also becomes reversible in the macroscopic l
 imit. Namely\, we identify a unique single-letter and additive quantity\, 
 the thermodynamic capacity\, that characterizes the &ldquo\;thermodynamic 
 value&rdquo\; of a quantum channel. As a consequence the work required to 
 simulate many repetitions of a quantum process employing many repetitions 
 of another quantum process becomes equal to the difference of the respecti
 ve thermodynamic capacities. For our proof\, we construct an explicit univ
 ersal implementation of any quantum process using Gibbs-preserving maps an
 d a battery\, requiring an amount of work asymptotically equal to the ther
 modynamic capacity. This implementation is also possible with thermal oper
 ations in the case of time-covariant quantum processes or when restricting
  to independent and identical inputs. In our derivations we make extensive
  use of Schur-Weyl duality and information-theoretic routines\, leading to
  a generalized notion of quantum typical subspaces.  [joint work with Mari
 o Berta and Fernando Brand&atilde\;o]
LOCATION:Seminar Room 1\, Newton Institute
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