Network-Device-Independent Certification of Causal Nonseparability

• URL: http://arxiv.org/abs/2308.12760v2
• Date: Thu, 24 Oct 2024 14:06:12 GMT
• Title: Network-Device-Independent Certification of Causal Nonseparability
• Authors: Hippolyte Dourdent, Alastair A. Abbott, Ivan Šupić, Cyril Branciard,
• Abstract summary: Causal nonseparability is the property underlying quantum processes incompatible with a definite causal order. Here we present a method solely based on the observed correlations, which certifies the causal nonseparability of all the processes that can induce a causally nonseparable distributed measurement.
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• Abstract: Causal nonseparability is the property underlying quantum processes incompatible with a definite causal order. So far it has remained a central open question as to whether any process with a clear physical realisation can violate a causal inequality, so that its causal nonseparability can be certified in a device-independent way, as originally conceived. Here we present a method solely based on the observed correlations, which certifies the causal nonseparability of all the processes that can induce a causally nonseparable distributed measurement in a scenario with trusted quantum input states, as defined in [Dourdent et al., Phys. Rev. Lett. 129, 090402 (2022)]. This notably includes the celebrated quantum switch. This device-independent certification is achieved by introducing a network of untrusted operations, allowing one to self-test the quantum inputs on which the effective distributed measurement induced by the process is performed.

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