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No-Go Theroems in Modal Quantum Theory

ORAL

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 a brief overview of these results.

Presenters

  • Benjamin W Schumacher

    Kenyon College

Authors

  • Benjamin W Schumacher

    Kenyon College

  • Michael D Westmoreland

    Denison University

  • Phillip Diamond

    Kenyon College