PIRSA:26050063 Scientific Series Quantum Foundations

DOI10.48660/26050063

Series: Quantum Foundations

Schumacher, B. (2026). No-Go Theorems in Modal Quantum Theory. Perimeter Institute. https://pirsa.org/26050063

Schumacher, Ben. No-Go Theorems in Modal Quantum Theory. Perimeter Institute, May. 20, 2026, https://pirsa.org/26050063 

@misc{ pirsa_PIRSA:26050063,
  doi = {10.48660/26050063},
  url = {https://pirsa.org/26050063},
  author = {Schumacher, Ben},
  keywords = {Quantum Foundations},
  language = {en},
  title = {No-Go Theorems in Modal Quantum Theory},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {may},
  note = {PIRSA:26050063 see, \url{https://pirsa.org}}
}

Abstract

Modal quantum theory (MQT) is a toy model based on finite fields that lacks the probability structure of actual quantum theory (AQT).  In essence, MQT retains the principle of superposition for quantum states but not unitarity or state normalization.  Many familiar "no-go" results in AQT have analogues in MQT, including the no-cloning, no-deleting and no-broadcasting theorems.  Other results, such as the no-hiding theorem, are actually false in MQT.  This talk gives an overview of these results.

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