Memory attacks in network nonlocality and self-testing

We study what can or cannot be certified in communication scenarios where the assumption of independence and identical distribution (iid) between experimental rounds fails. In this respect, we prove that membership tests for non-convex sets of correlations cannot be formulated in the non-iid regime....

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Main Authors: Mirjam Weilenmann, Costantino Budroni, Miguel Navascues
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-05-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-05-06-1735/pdf/
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author Mirjam Weilenmann
Costantino Budroni
Miguel Navascues
author_facet Mirjam Weilenmann
Costantino Budroni
Miguel Navascues
author_sort Mirjam Weilenmann
collection DOAJ
description We study what can or cannot be certified in communication scenarios where the assumption of independence and identical distribution (iid) between experimental rounds fails. In this respect, we prove that membership tests for non-convex sets of correlations cannot be formulated in the non-iid regime. Similarly, it is impossible to self-test non-extreme quantum operations, such as mixed states, or noisy quantum measurements, unless one allows more than a single use thereof within the same experimental round. One consequence of our results is that non-classicality in causal networks without inputs cannot be experimentally demonstrated. By analyzing optimal non-iid strategies in the triangle scenario, we raise the need to take into account the prior communication required to set up a causal network.
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language English
publishDate 2025-05-01
publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
record_format Article
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spelling doaj-art-776d8d93ea1c4a36a6709c4031707cca2025-08-20T02:14:45ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019173510.22331/q-2025-05-06-173510.22331/q-2025-05-06-1735Memory attacks in network nonlocality and self-testingMirjam WeilenmannCostantino BudroniMiguel NavascuesWe study what can or cannot be certified in communication scenarios where the assumption of independence and identical distribution (iid) between experimental rounds fails. In this respect, we prove that membership tests for non-convex sets of correlations cannot be formulated in the non-iid regime. Similarly, it is impossible to self-test non-extreme quantum operations, such as mixed states, or noisy quantum measurements, unless one allows more than a single use thereof within the same experimental round. One consequence of our results is that non-classicality in causal networks without inputs cannot be experimentally demonstrated. By analyzing optimal non-iid strategies in the triangle scenario, we raise the need to take into account the prior communication required to set up a causal network.https://quantum-journal.org/papers/q-2025-05-06-1735/pdf/
spellingShingle Mirjam Weilenmann
Costantino Budroni
Miguel Navascues
Memory attacks in network nonlocality and self-testing
Quantum
title Memory attacks in network nonlocality and self-testing
title_full Memory attacks in network nonlocality and self-testing
title_fullStr Memory attacks in network nonlocality and self-testing
title_full_unstemmed Memory attacks in network nonlocality and self-testing
title_short Memory attacks in network nonlocality and self-testing
title_sort memory attacks in network nonlocality and self testing
url https://quantum-journal.org/papers/q-2025-05-06-1735/pdf/
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AT costantinobudroni memoryattacksinnetworknonlocalityandselftesting
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