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quant-ph2026

Self-testing Quantum Supermaps

Victor Barizien, Cyril Branciard, Alastair A. Abbott +2

By certifying quantum operations from measurement statistics directly, without any assumption on the internal workings of the devices involved, self-testing enables a uniquely reli…

quant-ph2025

Correlations and quantum circuits with dynamical causal order

Raphaël Mothe, Raphaël Mothe, Alastair A. Abbott +1

Requiring that the causal structure between different parties is well-defined imposes constraints on the correlations they can establish, which define so-called causal correlations…

quant-ph2025

Classical and Quantum Query Complexity of Boolean Functions under Indefinite Causal Order

Alastair A. Abbott, Mehdi Mhalla, Pierre Pocreau

Computational models typically assume that operations are applied in a fixed sequential order. In recent years several works have looked at relaxing this assumption, considering co…

quant-ph2025

Routing Quantum Control of Causal Order

Maarten Grothus, Alastair A. Abbott, Augustin Vanrietvelde +1

In recent years, various frameworks have been proposed for the study of quantum processes with indefinite causal order. In particular, quantum circuits with quantum control of caus…

quant-ph2024

Network-Device-Independent Certification of Causal Nonseparability

Hippolyte Dourdent, Alastair A. Abbott, Ivan Šupić +1

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 proc…