Corpus ID: 232404715

Gentle Measurement as a Principle of Quantum Theory

@inproceedings{Wakakuwa2021GentleMA,
  title={Gentle Measurement as a Principle of Quantum Theory},
  author={Eyuri Wakakuwa},
  year={2021}
}
We propose the gentle measurement principle (GMP) as one of the principles at the foundation of quantum mechanics. It states that if a set of states can be distinguished with high probability, they can be distinguished by a measurement that leaves the states almost invariant, including correlation with a reference system. While GMP is satisfied in both classical and quantum theories, we show, within the framework of general probabilistic theories, that it imposes strong restrictions on the law… Expand

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    The proof is along the same line as in the case of Ω = 1 in the main text. The uncertainties relation in this form incorporates the case where the observables are almost or exactly compatible