Quantifying quantum causal influences

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dc.contributor.authorHutter, Lucas
dc.contributor.authorAraújo, Rafael Chaves Souto
dc.contributor.authorNery, Ranieri Vieira
dc.contributor.authorMoreno Filho, Marcos George Magalhães
dc.contributor.authorBrod, Daniel Jost
dc.date.accessioned2025-04-24T20:32:22Z
dc.date.available2025-04-24T20:32:22Z
dc.date.issued2023-08-28
dc.description.resumoCausal influences are at the core of any empirical science, the reason why its quantification is of paramount relevance for the mathematical theory of causality and applications. Quantum correlations, however, challenge our notion of cause and effect, implying that tools and concepts developed over the years having in mind a classical world have to be reevaluated in the presence of quantum effects. Here, we propose the quantum version of the most common causality quantifier, the average causal effect, measuring how much a target quantum system is changed by interventions on its presumed cause. Not only does it offer an innate manner to quantify causation in two-qubit gates but also in alternative quantum computation models such as the measurement-based version, suggesting that causality can be used as a proxy for optimizing quantum algorithms. Considering quantum teleportation, we show that any pure entangled state offers an advantage in terms of causal effects as compared to separable states. This broadness of different uses showcases that, just as in the classical case, the quantification of causal influence has foundational and applied consequences and can lead to a yet totally unexplored tool for quantum information sciencept_BR
dc.identifier.citationHUTTER, Lucas; ARAUJO, Rafael Chaves Souto; NERY, Ranieri Vieira; MORENO FILHO, Marcos George Magalhães; BROD, Daniel Jost. Quantifying quantum causal influences. Phisycal Review A, v. 108, p. 022222, 2023. DOI 10.1103/PhysRevA.108.022222. Disponível em: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.022222. Acesso em: 18 mar. 2025.pt_BR
dc.identifier.doi10.1103/PhysRevA.108.022222
dc.identifier.issne2469-9934
dc.identifier.urihttps://repositorio.ufrn.br/handle/123456789/63521
dc.languageenpt_BR
dc.publisherPhysical Review Apt_BR
dc.subjectQuantum circuitspt_BR
dc.subjectCircuitos quânticospt_BR
dc.subjectQuantum foundationspt_BR
dc.subjectFundações quânticaspt_BR
dc.subjectQuantum gatespt_BR
dc.subjectPortões quânticospt_BR
dc.subjectQuantum teleportationpt_BR
dc.subjectTeletransporte quânticopt_BR
dc.titleQuantifying quantum causal influencespt_BR
dc.typearticlept_BR

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