Stabilizer Rényi Entropy and Conformal Field Theory

Understanding universal aspects of many-body systems is one of the central themes in modern physics. Recently, the stabilizer Rényi entropy (SRE) has emerged as a computationally tractable measure of nonstabilizerness, a crucial resource for fault-tolerant universal quantum computation. While numerical results suggested that the SRE in critical states can exhibit universal behavior, its comprehensive theoretical understanding has remained elusive. In this work, we develop a field-theoretical framework for the SRE in a ( 1 + 1 )-dimensional many-body system and elucidate its universal aspects by using boundary conformal field theory. We demonstrate that the SRE is equivalent to a participation entropy in…

• UO
  University of Tokyo
• JS
  Japan Society for the Promotion of Science

  Awards: JP23K25791, JP24H00946, JP19K23424
• JS
  Japan Science and Technology Agency
• CR
  Core Research for Evolutional Science and Technology

  Award: JPMJCR23I2
• FO
  Fusion Oriented REsearch for disruptive Science and Technology

  Award: JPMJFR222U