When Is the Variance of One Observable Less Than or Equal to That of Another With Respect to All Quantum States?

Abstract In quantum mechanics, the well-known Loewner order expresses that one observable’s expectation value is less than or equal than that of another with respect to all quantum states. In this paper, we propose and study a similar order relation in terms of the variance, and we prove two theorem...

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Veröffentlicht in:International mathematics research notices 2024-02, Vol.2024 (3), p.1868-1893
Hauptverfasser: Gehér, György Pál, Miheisi, Nazar
Format: Artikel
Sprache:eng
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