Generalised tensors and traces
- URL: http://arxiv.org/abs/2202.11340v2
- Date: Tue, 21 Feb 2023 13:38:38 GMT
- Title: Generalised tensors and traces
- Authors: Pablo Arrighi, Am\'elia Durbec and Matt Wilson
- Abstract summary: Interrelations between notions of unitarity, complete positivity, trace-preservation, non-signalling causality, locality and localizability carry through, although a new notion, consistency, becomes instrumental.
One might have feared that the familiar interrelations between the notions of unitarity, complete positivity, trace-preservation, non-signalling causality, locality and localizability be jeopardized as the partitioning of systems becomes both logical and dynamical.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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