Classical Invasive Description of Informationally-CompleteQuantum Processes

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

In classical stochastic theory, the joint probability distributions of a stochasticprocess obey by definition the Kolmogorov consistency conditions.Interpreting such a process as a sequence of physical measurements withprobabilistic outcomes, these conditions reflect that the measurements donot alter the state of the underlying physical system. Prominently, thisassumption has to be abandoned in the context of quantum mechanics, yetthere are also classical processes in which measurements influence themeasured system. Here, conditions that characterize uniquely classicalprocesses that are probed by a reasonable class of such invasivemeasurements are derived. We then analyze under what circumstances suchclassical processes can simulate the statistics arising from quantumprocesses associated with informationally-complete measurements. It isexpected that this investigation will help build a bridge between twofundamental traits of non-classicality, namely, coherence and contextuality.

Details

Original languageEnglish
Article number2300304
Number of pages14
JournalAnnalen der Physik
Volume536
Issue number4
Early online date10 Dec 2023
Publication statusPublished - Apr 2024
Peer-reviewedYes

External IDs

ORCID /0000-0002-7806-3525/work/148604186
Scopus 85179337582
Mendeley c77e76a3-dedd-3efe-8744-ab215cf4d944

Keywords

Keywords

  • contextuality, coherence, non-classicality, informationally-complete measurements, quantumness, invasive measurements, Kolmogorov consistency conditions

Library keywords