RQC Seminar

125th RQC Seminar

• Speaker

  Dr. Stephen Jordan
  ( Google )

• Date

  16:00-17:00 (4:00 p.m.-5:00 p.m.), July 29, 2024 (Monday)

• Venue

  Hybrid(ZOOM・ Wako Main Research 3F 345-347 Seminar Room/ 研究本館3階 セミナー室(345-347) C01）

• Title

  Optimization by Decoded Quantum Interferometry

• Inquiries

  rqc_info[at]ml.riken.jp

Abstract
In this talk I will describe Decoded Quantum Interferometry (DQI), a quantum algorithm for reducing classical optimization problems to classical decoding problems by exploiting structure in the Fourier spectrum of the objective function. For a problem of optimal polynomial intersection we believe DQI achieves an exponential quantum speedup. We also investigate the application of DQI to average-case instances of max-k-XORSAT. DQI reduces max-k-XORSAT to decoding LDPC codes, which can be achieved using powerful classical algorithms such as belief propagation. As an initial investigation, we benchmark DQI using belief propagation decoding against classical optimization via simulated annealing. In this setting we identify a family of max-XORSAT instances where DQI achieves a better approximation ratio than simulated annealing, although not better than specialized classical algorithms tailored to those instances. The recent quantum query complexity speedup of Yamakawa and Zhandry can also be obtained as a special case of DQI. This is joint work with Noah Shutty, Mary Wootters, Adam Zalcman, and Ryan Babbush.