Related papers: A tensor norm approach to quantum compatibility

A tensor norm approach to quantum compatibility

URL: http://arxiv.org/abs/2202.13993v1
Date: Mon, 28 Feb 2022 17:53:20 GMT
Title: A tensor norm approach to quantum compatibility
Authors: Andreas Bluhm and Ion Nechita
Abstract summary: Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. Recent results on the maximal noise robustness of incompatible measurements have been obtained.
Score: 1.5229257192293197
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural way to quantify incompatibility is in terms of noise robustness. In the present article, we review recent results on the maximal noise robustness of incompatible measurements, which have been obtained by the present authors using free spectrahedra, and rederive them using tensor norms. In this way, we make them accessible to a broader audience from quantum information theory and mathematical physics and contribute to the fruitful interactions between Banach space theory and quantum information theory. We also describe incompatibility witnesses using tensor norm and matrix convex set duality, emphasizing the relation between the different notions of witnesses.

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