BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Thermodynamic capacity of quantum processes - Phil
ippe Faist (CALTECH (California Institute of Techn
ology))
DTSTART;TZID=Europe/London:20180724T110000
DTEND;TZID=Europe/London:20180724T114500
UID:TALK108286AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108286
DESCRIPTION:Thermodynamics imposes restrictions on what state
transformations are possible. In the macroscopic l
imit of asymptotically many independent copies of
a state&mdash\;as for instance in the case of an i
deal gas&mdash\;the possible transformations becom
e reversible and are fully characterized by the fr
ee energy. Here\, we present a thermodynamic resou
rce theory for quantum processes that also becomes
reversible in the macroscopic limit. Namely\, we
identify a unique single-letter and additive quant
ity\, the thermodynamic capacity\, that characteri
zes the &ldquo\;thermodynamic value&rdquo\; of a q
uantum channel. As a consequence the work required
to simulate many repetitions of a quantum process
employing many repetitions of another quantum pro
cess becomes equal to the difference of the respec
tive thermodynamic capacities. For our proof\, we
construct an explicit universal implementation of
any quantum process using Gibbs-preserving maps an
d a battery\, requiring an amount of work asymptot
ically equal to the thermodynamic capacity. This i
mplementation is also possible with thermal operat
ions in the case of time-covariant quantum process
es or when restricting to independent and identica
l inputs. In our derivations we make extensive use
of Schur-Weyl duality and information-theoretic r
outines\, leading to a generalized notion of quant
um typical subspaces. [joint work with Mario Bert
a and Fernando Brandã\;o]
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR