Unitary induced channels and Tsirelson's problem

• URL: http://arxiv.org/abs/2508.21808v1
• Date: Fri, 29 Aug 2025 17:42:48 GMT
• Title: Unitary induced channels and Tsirelson's problem
• Authors: Michał Banacki, Paweł Horodecki,
• Abstract summary: We investigate a notion of (generalized) unitary induced quantum channel.<n>We show that there is a difference between quantum commuting and quantum tensor models for generalized unitary induced channels.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by a recent progress concerning quantum commuting and quantum tensor models of composed systems we investigate a notion of (generalized) unitary induced quantum channel. Using properties of Brown algebras we provide an equivalent characterization of discussed families in both tensor and commuting paradigms. In particular, we provide an equivalent formulation of Tsirelson's conjecture (Connes' embedding problem) in terms of considered paradigms based on protocols which do not require measurements performed on infinite-dimensional subsystems. As a result we show that there is a difference between quantum commuting and quantum tensor models for generalized unitary induced channels.

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