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arXiv · 2202.11340

Generalised tensors and traces

Pablo Arrighi·Amélia Durbec·Matt Wilson
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Abstract

Tensors and traceouts are generalised, so that systems can be partitioned according to almost arbitrary logical predicates. 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, although a new notion, consistency, becomes instrumental.

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Pablo Arrighi, Amélia Durbec, Matt Wilson. 2022-02-23. Generalised tensors and traces. https://arxiv.org/abs/2202.11340

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