Generalised tensors and traces
Quantum Physics
2023-02-22 v2
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.
Cite
@article{arxiv.2202.11340,
title = {Generalised tensors and traces},
author = {Pablo Arrighi and Amélia Durbec and Matt Wilson},
journal= {arXiv preprint arXiv:2202.11340},
year = {2023}
}
Comments
This highlights a core subset of the results of "Quantum Networks Theory" arXiv:2110.10587