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DTSTART;TZID=America/Toronto:20141020T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20141020T153000
URL:https://uwaterloo.ca/institute-for-quantum-computing/events/sean-hallgr
 en-quantum-algorithm-computing-unit-group
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West 0101 Waterloo
  ON N2L 3G1 Canada
SUMMARY:Sean Hallgren: A quantum algorithm for computing the unit group of 
 an\narbitrary degree number field
CLASS:PUBLIC
DESCRIPTION:SEAN HALLGREN\, PENNSYLVANIA STATE UNIVERSITY\n\nComputing the 
 group of units in a field of algebraic numbers is one of\nthe central task
 s of computational algebraic number theory. It is\nbelieved to be hard cla
 ssically\, which is of interest for\ncryptography. In the quantum setting\
 , efficient algorithms were\npreviously known for fields of constant degre
 e. We give a quantum\nalgorithm that is polynomial in the degree of the fi
 eld and the\nlogarithm of its discriminant. This is achieved by combining 
 three new\nresults.
DTSTAMP:20260410T133557Z
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