BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Date iCal//NONSGML kigkonsult.se iCalcreator 2.20.2//
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20101107T020000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20110313T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:calendar.103311.field_date.0@www.wpi.edu
DTSTAMP:20210225T172411Z
CREATED:20180529T172914Z
DESCRIPTION:Description of Event: \n\nProfessor Louis H. Kauffman\n\nDEPART
MENT OF MATHEMATICS\, STATISTICS\, AND COMPUTER SCIENCE\; UNIVERSITY OF IL
LINOIS AT CHICAGO\n\n\n\n \n\nTopological Quantum Information and the Jone
s Polynomial\n\n\n\nWe give a quantum statistical interpretation for the J
ones polynomial in terms of the Kauffman bracket polynomial state sum. The
Jones polynomial is a well-known topological invariant of knots in three-
dimensional space that is closely related to structures in statistical mec
hanics and quantum field theory. We use this interpretation to give a new
quantum algorithm for computing the Jones polynomial. This algorithm is us
eful for its conceptual simplicity\, and it applies to all values of the p
olynomial variable that lie on the unit circle in the complex plane. Letti
ng H(K) denote the Hilbert space for this model\, there is a natural unita
ry transformation U from H(K) to itself such that = Trace(U) where is the
bracket polynomial for the knot K. The quantum algorithm for arises direct
ly from this formula via the Hadamard Test. We also review how we have imp
lemented quantum algorithms for the Jones polynomial in NMR experiments an
d we show how the framework of the present model is related to recent work
in knot theory such as Khovanov homology. This talk does not assume any b
ackground in either quantum computing or in the theory of knots and their
invariants.
DTSTART;TZID=America/New_York:20110325T150000
DTEND;TZID=America/New_York:20110325T150000
LAST-MODIFIED:20180529T172959Z
LOCATION:Olin Hall
SUMMARY:2011 Harold J. Gay Lecture Series: 'Topological Quantum Information
and the Jones Polynomial' by Professor Louis H. Kauffman
URL;TYPE=URI:https://www.wpi.edu/news/calendar/events/2011-harold-j-gay-lec
ture-series-topological-quantum-information-and-jones
END:VEVENT
END:VCALENDAR