Al Rasbi, K., Clark, L.A. and Beige, A. orcid.org/0000-0001-7230-4220 (2024) Quantum physics cannot be captured by classical linear hidden variable theories even in the absence of entanglement. FRONTIERS IN PHYSICS, 12. ISSN 2296-424X
Abstract
Recent experimental tests of Bell inequalities confirm that entangled quantum systems cannot be described by local classical theories but still do not answer the question whether or not quantum systems could, in principle, be modeled by linear hidden variable theories. In this paper, we study the quantum trajectories of a single qubit that experiences a sequence of repeated generalized measurements. It is shown that this system, which constitutes a hidden quantum Markov model, is more likely to produce complex time correlations than any classical hidden Markov model with two output symbols. From this, we conclude that quantum physics cannot be replaced by linear hidden variable theories. Indeed, it has already been recognized that not only entanglement but also non-classical time correlations of quantum systems with quantum feedback are a valuable resource for quantum technology applications.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 Al Rasbi, Clark and Beige. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. |
Keywords: | quantum resources; quantum measurement and entanglement; open quantum systems; hidden Markov model; hidden quantum Markov models |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Jun 2024 14:13 |
Last Modified: | 18 Jun 2024 14:13 |
Published Version: | http://dx.doi.org/10.3389/fphy.2024.1325239 |
Status: | Published |
Publisher: | Frontiers Media SA |
Identification Number: | 10.3389/fphy.2024.1325239 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:213634 |