Quantum Error Correction with Untrustworthy Measurements

Andrew Nemec, Ph.D. January 30, 2024 * 1:00pm * ENB313

Abstract: Quantum computing promises speedups for many complex problems in important fields of research such as cryptography and quantum simulation, potentially allowing for better models in drug development and material science. Due to the effects of noise on quantum systems, the construction of large-scale quantum computers will require the use of quantum error correction and fault tolerant techniques. In this talk, I will present new results for quantum errorcorrecting codes for an error model where measurements cannot be trusted. First, I show how using classical error-correcting codes can provide a substantial speedup over previous techniques in fault-tolerant syndrome extraction. Second, I show how analyzing these codes leads to new bounds on the parameters of the important class of degenerate stabilizer codes. Finally, I will briefly discuss possible ways forward for adapting these techniques for designing fully fault-tolerant schemes necessary for operational quantum computers.