Classical Invasive Description of Informationally‐Complete Quantum Processes

Abstract: In classical stochastic theory, the joint probability distributions of a stochastic process obey by definition the Kolmogorov consistency conditions. Interpreting such a process as a sequence of physical measurements with probabilistic outcomes, these conditions reflect that the measurements do not alter the state of the underlying physical system. Prominently, this assumption has to be abandoned in the context of quantum mechanics, yet there are also classical processes in which measurements influence the measured system. Here, conditions that characterize uniquely classical processes that are probed by a reasonable class of such invasive measurements are derived. We then analyze under what circumstances such classical processes can simulate the statistics arising from quantum processes associated with informationally‐complete measurements. It is expected that this investigation will help build a bridge between two fundamental traits of non‐classicality, namely, coherence and contextuality.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Classical Invasive Description of Informationally‐Complete Quantum Processes ; day:10 ; month:12 ; year:2023 ; extent:14
Annalen der Physik ; (10.12.2023) (gesamt 14)

Creator
Richter, Moritz F.
Smirne, Andrea
Strunz, Walter T.
Egloff, Dario

DOI
10.1002/andp.202300304
URN
urn:nbn:de:101:1-2023121114195068624390
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:28 AM CEST

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Associated

  • Richter, Moritz F.
  • Smirne, Andrea
  • Strunz, Walter T.
  • Egloff, Dario

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