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SUMMARY:On the Operational Role of Purification in Quantum Information.
DTSTART:20261112T100000Z
DTEND:20261112T110000Z
DTSTAMP:20261101T154100Z
UID:indico-event-17559@indico.math.cnrs.fr
DESCRIPTION:Speakers: Zoe Garcia (LIP6\, Sorbonne Université)\n\nPurifica
 tions are ubiquitous in quantum information\, where they are often regarde
 d just as convenient mathematical representations of quantum states and ch
 annels. In this talk\, we will explore instead their operational significa
 nce. We will first briefly discuss to what extent purifications and Stines
 pring dilations can be physically obtained from black-box access to states
  and channels\, highlighting fundamental limitations on universal purifica
 tion procedures.It will then focus on learning and estimation tasks and sh
 ow that access to the purifying degrees of freedom can constitute a genuin
 e operational resource. While access to purifications does not bring advan
 tages in state discrimination and parallel channel discrimination\, this e
 quivalence breaks down for adaptative strategies. In particular\, we will 
 present examples exhibiting a strict advantage with two queries and\, more
  strikingly\, channels whose purifications can be perfectly distinguished 
 with only three sequential queries\, whereas perfect discrimination of the
  corresponding bare channels is impossible with any finite number of queri
 es. These results establish an unbounded query separation and illustrate h
 ow environmental degrees of freedom can fundamentally change the informati
 on-processing capabilities associated with a quantum channel.\n\nhttps://i
 ndico.math.cnrs.fr/event/17559/
LOCATION:Salle R. Huron (1R1-106)
URL:https://indico.math.cnrs.fr/event/17559/
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