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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251117T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-yujia-shi
SUMMARY:Algebraic Graph Theory-Yujia Shi
CLASS:PUBLIC
DESCRIPTION:TITLE: Fast quantum state transfer on paths via localized\neig
 envectors\n\nSPEAKER:\n Yujia Shi\n\nAFFILIATION: \n\nCreighton University
 \n\nLOCATION:\n Please contact Sabrina Lato for Zoom link.\n\nABSTRACT:
  \n\n In a quantum state transfer problem\, adding identical weighted\ns
 elf-loops to the endpoints of a path can improve the transfer\nfidelity\, 
 a phenomenon known as asymptotic state transfer. When the\ntransfer time i
 s chosen as t = pi / (lambda1 - lambda2)\, one can\ncompute a lower bound 
 on the fidelity between the two endpoints that\ndepends only on the loop w
 eights. A larger loop weight ensures higher\nfidelity but also increases t
 he readout time. In the work of Chen\,\nMereau\, and Feder\, the path is m
 odified by adding weighted edges to\nthe third and third-from-last vertice
 s\, which achieves asymptotic\nstate transfer between the endpoints in a s
 horter time. In this talk\,\nI will present a variation in which weighted 
 loops are added to the\nneighbors of the endpoints instead. This modificat
 ion produces a pair\nof eigenvectors localized at the end vertices\, and u
 nlike in the\nprevious cases\, the difference between their corresponding 
 eigenvalues\ngrows more slowly. It provides an explanation for the shorter
  transfer\ntime observed in this setting. \nThis is a joint work with Gabo
 r Lippner
DTSTAMP:20260402T162834Z
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