BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Seth Lloyd (MIT)
DTSTART:20241001T203000Z
DTEND:20241001T213000Z
DTSTAMP:20260423T021031Z
UID:MathPic/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathPic/132/
 ">Quantum Algorithms for Computing Homology</a>\nby Seth Lloyd (MIT) as pa
 rt of Mathematical Picture Language Seminar\n\nLecture held in Jefferson 3
 56 and Zoom https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2
 pCT1ZUQT09.\n\nAbstract\nThis talk reviews quantum algorithms for computin
 g Betti numbers and homology for arbitrary chain complexes. Given a descri
 ption of the boundary map on a chain complex\, the algorithm operates by u
 sing the quantum phase estimation algorithm to project onto the kernel of 
 the Hodge Laplacian\, giving estimates of Betti numbers and revealing the 
 representatives of the homology. The quantum algorithms provide an exponen
 tial speedup over their classical counterparts.  Applications to persisten
 t homology and Khovanov homology are given.\n\nPasscode: 657361\n
LOCATION:https://researchseminars.org/talk/MathPic/132/
END:VEVENT
END:VCALENDAR