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Semi-device-independent Certification of Causal Nonseparability with Trusted Quantum Inputs

Abstract : While the standard formulation of quantum theory assumes a fixed background causal structure, one can relax this assumption within the so-called process matrix framework. Remarkably, some processes, termed causally nonseparable, are incompatible with a definite causal order. We explore a form of certification of causal nonseparability in a semi-device-independent scenario where the involved parties receive trusted quantum inputs, but whose operations are otherwise uncharacterised. Defining the notion of causally nonseparable distributed measurements, we show that certain causally nonseparable processes which cannot violate any causal inequality, such as the canonical example of the quantum switch, can generate noncausal correlations in such a scenario. Moreover, by further imposing some natural structure to the untrusted operations, we show that all bipartite causally nonseparable process matrices can be certified with trusted quantum inputs.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03330393
Contributor : Alastair Abbott Connect in order to contact the contributor
Submitted on : Tuesday, August 31, 2021 - 5:51:51 PM
Last modification on : Thursday, February 3, 2022 - 11:16:11 AM
Long-term archiving on: : Wednesday, December 1, 2021 - 9:51:23 PM

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2107.10877.pdf
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  • HAL Id : hal-03330393, version 1
  • ARXIV : 2107.10877

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Hippolyte Dourdent, Alastair Abbott, Nicolas Brunner, Ivan Šupić, Cyril Branciard. Semi-device-independent Certification of Causal Nonseparability with Trusted Quantum Inputs. 2021. ⟨hal-03330393⟩

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