Informationally restricted correlations: a general framework for classical and quantum systems

Armin Tavakoli; Emmanuel Zambrini Cruzeiro; Erik Woodhead; Stefano Pironio

doi:10.22331/q-2022-01-05-620

Informationally restricted correlations: a general framework for classical and quantum systems

Armin Tavakoli^1,2, Emmanuel Zambrini Cruzeiro³, Erik Woodhead³, and Stefano Pironio³

¹Département de Physique Appliquée, Université de Genève, CH-1211 Genève, Switzerland
²Institute for Quantum Optics and Quantum Information – IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria
³Laboratoire d'Information Quantique, CP 225, Université libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050 Bruxelles, Belgium

Published:	2022-01-05, volume 6, page 620
Eprint:	arXiv:2007.16145v4
Doi:	https://doi.org/10.22331/q-2022-01-05-620
Citation:	Quantum 6, 620 (2022).

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Abstract

We introduce new methods and tools to study and characterise classical and quantum correlations emerging from prepare-and-measure experiments with informationally restricted communication. We consider the most general kind of informationally restricted correlations, namely the ones formed when the sender is allowed to prepare statistical mixtures of mixed states, showing that contrary to what happens in Bell nonlocality, mixed states can outperform pure ones. We then leverage these tools to derive device-independent witnesses of the information content of quantum communication, witnesses for different quantum information resources, and demonstrate that these methods can be used to develop a new avenue for semi-device independent random number generators.

► BibTeX data

@article{Tavakoli2022informationally,
  doi = {10.22331/q-2022-01-05-620},
  url = {https://doi.org/10.22331/q-2022-01-05-620},
  title = {Informationally restricted correlations: a general framework for classical and quantum systems},
  author = {Tavakoli, Armin and Zambrini Cruzeiro, Emmanuel and Woodhead, Erik and Pironio, Stefano},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {6},
  pages = {620},
  month = jan,
  year = {2022}
}

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Cited by

[1] Amélie Piveteau, Jef Pauwels, Emil Håkansson, Sadiq Muhammad, Mohamed Bourennane, and Armin Tavakoli, "Entanglement-assisted quantum communication with simple measurements", Nature Communications 13 1, 7878 (2022).

[2] Jef Pauwels, Armin Tavakoli, Erik Woodhead, and Stefano Pironio, "Entanglement in prepare-and-measure scenarios: many questions, a few answers", New Journal of Physics 24 6, 063015 (2022).

[3] Simon Morelli, Hayata Yamasaki, Marcus Huber, and Armin Tavakoli, "Entanglement Detection with Imprecise Measurements", Physical Review Letters 128 25, 250501 (2022).

[4] Jef Pauwels, Stefano Pironio, Erik Woodhead, and Armin Tavakoli, "Almost Qudits in the Prepare-and-Measure Scenario", Physical Review Letters 129 25, 250504 (2022).

[5] Oskari Kerppo, "Partial-ignorance communication tasks in quantum theory", Physical Review A 105 6, 062607 (2022).

[6] Armin Tavakoli, Alejandro Pozas-Kerstjens, Ming-Xing Luo, and Marc-Olivier Renou, "Bell nonlocality in networks", Reports on Progress in Physics 85 5, 056001 (2022).

[7] Armin Tavakoli, Emmanuel Zambrini Cruzeiro, Roope Uola, and Alastair A. Abbott, "Bounding and Simulating Contextual Correlations in Quantum Theory", PRX Quantum 2 2, 020334 (2021).

[8] Armin Tavakoli, "Semi-Device-Independent Framework Based on Restricted Distrust in Prepare-and-Measure Experiments", Physical Review Letters 126 21, 210503 (2021).

[9] Tony Metger, Yfke Dulek, Andrea Coladangelo, and Rotem Arnon-Friedman, "Device-independent quantum key distribution from computational assumptions", New Journal of Physics 23 12, 123021 (2021).

[10] Armin Tavakoli, Jef Pauwels, Erik Woodhead, and Stefano Pironio, "Correlations in Entanglement-Assisted Prepare-and-Measure Scenarios", PRX Quantum 2 4, 040357 (2021).

[11] George Moreno, Ranieri Nery, Carlos de Gois, Rafael Rabelo, and Rafael Chaves, "Semi-device-independent certification of entanglement in superdense coding", Physical Review A 103 2, 022426 (2021).

[12] Ming-Xing Luo, "Network configuration theory for all networks", arXiv:2107.05846, (2021).

[13] Anubhav Chaturvedi, Marcin Pawłowski, and Debashis Saha, "Quantum description of reality is empirically incomplete", arXiv:2110.13124, (2021).

The above citations are from Crossref's cited-by service (last updated successfully 2023-06-05 14:06:53) and SAO/NASA ADS (last updated successfully 2023-06-05 14:06:53). The list may be incomplete as not all publishers provide suitable and complete citation data.

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