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DTSTART;TZID=America/Toronto:20230922T090000
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URL:https://uwaterloo.ca/institute-for-quantum-computing/events/stefanie-be
 ale-phd-thesis-defence
LOCATION:PHY - Physics Room 308 200 University Avenue West Waterloo ON N2L 
 3G1 Canada
SUMMARY:Stefanie Beale PhD Thesis Defence
CLASS:PUBLIC
DESCRIPTION:MODELING AND MANAGING NOISE IN QUANTUM ERROR CORRECTION \n\nSi
 mulating a quantum system to full accuracy is very costly and often\nimpos
 sible as we do not know the exact dynamics of a given system. In\nparticul
 ar\, the dynamics of measurement noise are not well understood.\nFor this 
 reason\, and especially in the context of quantum error\ncorrection\, wher
 e we are studying a larger system with branching\noutcomes due to syndrome
  measurement\, studies often assume a\nprobabilistic Pauli (or Weyl) noise
  model on the system with\nprobabilistically misreported outcomes for the 
 measurements. In this\nthesis\, we explore methods to decrease the computa
 tional complexity of\nsimulating encoded memory channels by deriving condi
 tions under which\neffective channels are equivalent up to logical operati
 ons. Leveraging\nthis method allows for a significant reduction in computa
 tional\ncomplexity when simulating quantum error correcting codes. We then
 \npropose methods to enforce a model consistent with the typical\nassumpti
 ons of stochastic Pauli (or Weyl) noise with probabilistically\nmisreporte
 d measurement outcomes. First\, via a new protocol we call\nmeasurement ra
 ndomized compiling\, which enforces an average noise on\nmeasurements wher
 ein measure- ment outcomes are probabilistically\nmisreported. Then\, by a
 nother new protocol we call logical randomized\ncompiling\, which enforces
  the same model on syndrome measurements and\na probabilistic Pauli (or We
 yl) noise model on all other operations\n(including idling). Together\, th
 ese results enable more efficient\nsimulation of quantum error correction 
 systems by enforcing effective\nnoise of a form which is easier to model a
 nd by reducing the\nsimulation overhead further via symmetries. The enforc
 ed effective\nnoise model is additionally consistent with standard error c
 orrection\nprocedures and enables techniques founded upon the standard\nas
 sumptions to be applied in any setting where our protocols are\nsimultaneo
 usly applied. 
DTSTAMP:20260420T191830Z
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