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DTSTART:20240101T000000
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DTSTART;TZID=UTC:20240221T153000
DTEND;TZID=UTC:20240221T163000
DTSTAMP:20260609T054037
CREATED:20240219T131416Z
LAST-MODIFIED:20240219T131514Z
UID:7556-1708529400-1708533000@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar
DESCRIPTION:Speaker: Ada Chan\, York University\nTitle: Polygamy in state transferAbstract:Let $X$ be a graph and $H$ be a Hermitian matrix associated with $X$.   The continuous-time quantum walk with Hamiltonian $H$ isdefined by the time-dependent unitary matrix\begin{equation*}U(t)=e^{i t H}.\end{equation*}Perfect state transfer occurs from vertex $a$ to vertex $b$ at time $\tau$ is $\vert U(\tau)_{b\,a}\vert = 1$.   This phenomenon is relevant for information transmission in a quantum spin network.   For real and symmetric Hamiltonians\, it is known that perfect state transfer can occur from a vertex to at most one other vertex\,mand that graphs with perfect state transfer are rare.    A relaxation\, called pretty good state transfer\, occurs from $a$ to $b$ if $\vert U(\tau)_{b\,a}\vert$ gets arbitrarily close one.  Pal and Bhattacharjya discover a graph with four vertices admitting pairwise pretty good state transfer. In this talk\, we present a family of graphs that admit pairwise pretty good state transfer in an arbitrarily large set of vertices. We compare this polygamous behaviour to walks with Hamiltonians that contain non-real entries.\n\n\nJoin Zoom Meeting\nhttps://us02web.zoom.us/j/86415230827?pwd=QUxLUnlMdWYzL05zSUJ4bnBCOUJnZz09\n\nMeeting ID: 864 1523 0827\nPasscode: 835547
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-12/
LOCATION:Online via Zoom
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="jeannette%20Janssen":MAILTO:jeannette.janssen@dal.ca
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