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SUMMARY:Temporal correlations under finite-memory constraints - Lucas Viei
 ra Barbosa\, Institute for Quantum Optics and Quantum Information\, Austri
 an Academy of Sciences\, Vienna
DTSTART:20221201T141500Z
DTEND:20221201T151500Z
UID:TALK193298@talks.cam.ac.uk
CONTACT:Damian Pitalua-Garcia
DESCRIPTION:We report on our results investigating bounds on temporal corr
 elations achievable by classical and quantum systems under various discret
 e-time scenarios\, with the assumption of a finite memory resource. This m
 emory constraint imposes fundamental limitations on realizable correlation
 s\, which may be exploited to construct dimensional witnesses. In this sem
 inar\, I will report on our investigation on temporal correlations in the 
 simplest measurement scenario\, i.e.\, that of a physical system on which 
 the same measurement is performed at different times\, producing a sequenc
 e of dichotomic outcomes. We characterize the minimum memory requirements 
 for sequences to be obtained deterministically\, and numerically investiga
 te the probabilistic behavior below this memory threshold\, in both classi
 cal and quantum scenarios. A particular class of sequences is found to off
 er an upper-bound for all other sequences\, which suggests a nontrivial un
 iversal upper-bound of 1/e for the classical probability of realization of
  any sequence below the deterministic memory threshold. We further present
  evidence that no such nontrivial bound exists in the quantum case. Additi
 onal comments on applications will also be discussed\, if time allows.\n\n
 Link: https://quantum-journal.org/papers/q-2022-01-18-623/
LOCATION:Zoom
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