Pablo Arrighi, Quantum Networks Theory. QISS Seminar

Abstract: The formalism of quantum theory over discrete systems is extended in two significant ways. First, tensors and traceouts are generalized, so that systems can be partitioned according to almost arbitrary logical predicates. Second, quantum evolutions are generalized to act over network configurations, in such a way that nodes be allowed to merge, split and reconnect coherently in a superposition. The hereby presented mathematical framework is anchored on solid grounds through numerous lemmas. Indeed, one might have feared that the familiar interrelations between the notions of unitarity, complete positivity, trace-preservation, non-signalling causality, locality and localizability that are standard in quantum theory be jeopardized as the partitioning of systems becomes both logical and dynamical. Such interrelations in fact carry through. (Joint work with Amélia Durbec and Matt Wilson, reference: https://arxiv.org/abs/2110.10587

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About QISS

The Quantum Information Structure of Spacetime (http://www.qiss.fr) is an interdisciplinary research initiative among several universities and research institutes all over the world, supported by the John Templeton Foundation through the grants https://www.templeton.org/grant/the-quantum-information-structure-of-spacetime-qiss and https://www.templeton.org/grant/the-quantum-information-structure-of-spacetime-qiss-second-phase, coordinated from The Samy Maroun Center for Space, Time and the Quantum (http://www.spacetimeandquantum.com).

The goal of QISS is to explore and connect the research domains of Quantum Information/Computing, Quantum Gravity and Quantum Foundations. Main objectives are to found the physics of quantum spacetime on an information-theoretic basis, to bring within reach empirical access to quantum gravity in 'table-top' laboratory conditions by exploiting rapid advances in quantum computing related technologies and using quantum information theoretic concepts, and to promote an extensive interaction between physicists and philosophers on the conceptual role of information in spacetime physics.

Видео Pablo Arrighi, Quantum Networks Theory. QISS Seminar канала The Quantum Information Structure of Spacetime