Is pt -symmetric quantum theory false as a fundamental theory?

Miloslav Znojil

Is pt -symmetric quantum theory false as a fundamental theory?

Číslo: 3/2016
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2016.56.0254

Klíčová slova: quantum mechanics; PT-symmetric representations of observables, measurement outcomes; locality; quantum communication,kvantová mechanika; PT-symetrické reprezentace rozpoznatelnosti, výsledky měření; lokalita; Kvantová komunikace

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Anotace: Yi-Chan Lee et al. claim (cf. Phys. Rev. Lett. 112, 130404 (2014)) that the “recent extension of quantum theory to non-Hermitian Hamiltonians” (which is widely known under the nickname of “PT-symmetric quantum theory”) is “likely false as a fundamental theory”. By their opinion their results “essentially kill any hope of PT-symmetric quantum theory as a fundamental theory of nature”. In our present text we explain that their toy-model-based considerations are misleading and that they do not imply any similar conclusions.