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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240612T143000
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URL:https://uwaterloo.ca/institute-for-quantum-computing/events/algebraic-m
 ethods-quantum-compiling
LOCATION:QNC - Quantum Nano Centre 200 University Avenue West 0101 Waterloo
  ON N2L 3G1 Canada
SUMMARY:Algebraic Methods in Quantum Compiling
CLASS:PUBLIC
DESCRIPTION:IQC SEMINAR - SARAH MENG LI - UNIVERSITY OF AMSTERDAM\, CENTRUM
 \nWISKUNDE & INFORMATICA (CWI)\n\nQuantum-Nano Centre\, 200 University Ave
  West\, Room QNC 0101 Waterloo\,\nON CA N2L 3G1\n\n: Quantum compiling tra
 nslates a quantum algorithm into a sequence of\nelementary operations. The
 re exists a correspondence between certain\nquantum circuits and matrices 
 over some number rings. This\nnumber-theoretic perspective reveals importa
 nt properties of gate sets\nand leads to improved quantum compiling protoc
 ols. Here\, we\ndemonstrate several algebraic methods in quantum circuit\n
 characterization and optimization\, based on my master’s research at\nIQ
 C.\n\nFirst\, we design two improved synthesis algorithms for\nToffoli-Had
 amard circuits\, achieving an exponential reduction in\ncircuit size. Seco
 nd\, we define a unique normal form for qutrit\nClifford operators. This a
 llows us to find a set of relations that\nsuffice to rewrite any qutrit Cl
 ifford circuit to its normal form\,\nadding to the family of number-theore
 tic characterization of quantum\noperators.
DTSTAMP:20260419T071140Z
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