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URL:/institute-for-quantum-computing/events/stefanie-be
 ale-phd-thesis-defence
SUMMARY:Stefanie Beale PhD Thesis Defence
CLASS:PUBLIC
DESCRIPTION:Summary \n\nMODELING AND MANAGING NOISE IN QUANTUM ERROR CORREC
 TION \n\nSimulating a quantum system to full accuracy is very costly and 
 often\nimpossible as we do not know the exact dynamics of a given system. 
 In\nparticular\, the dynamics of measurement noise are not well understood
 .\nFor this reason\, and especially in the context of quantum error\ncorre
 ction\, where 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 outco
 mes for the measurements. In this\nthesis\, we explore methods to decrease
  the computational complexity of\nsimulating encoded memory channels by de
 riving conditions under which\neffective channels are equivalent up to log
 ical operations. Leveraging\nthis method allows for a significant reductio
 n in computational\ncomplexity when simulating quantum error correcting co
 des. We then\npropose methods to enforce a model consistent with the typic
 al\nassumptions of stochastic Pauli (or Weyl) noise with probabilistically
 \nmisreported measurement outcomes. First\, via a new protocol we call\nme
 asurement randomized compiling\, which enforces an average noise on\nmeasu
 rements wherein measure- ment outcomes are probabilistically\nmisreported.
  Then\, by another new protocol we call logical randomized\ncompiling\, wh
 ich enforces the same model on syndrome measurements and\na probabilistic 
 Pauli (or Weyl) noise model on all other operations\n(including idling). T
 ogether\, these results enable more efficient\nsimulation of quantum error
  correction systems by enforcing effective\nnoise of a form which is easie
 r to model and by reducing the\nsimulation overhead further via symmetries
 . The enforced effective\nnoise model is additionally consistent with stan
 dard error correction\nprocedures and enables techniques founded upon the 
 standard\nassumptions to be applied in any setting where our protocols are
 \nsimultaneously applied. \n 
DTSTAMP:20250522T155432Z
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