Remarks on the tensor product structure of no-signaling theories
arXiv:1604.01949 · doi:10.1088/1751-8121/50/4/04LT02
Abstract
In the quantum logic framework we show that the no-signaling box model is a particular type of tensor product of the logics of single boxes. Such notion of tensor product is too strong to apply in the category of logics of quantum mechanical systems. Consequently, we show that the no-signaling box models cannot be considered as generalizations of quantum mechanical models.
13 pages
References in corpus (10)
- The uncertainty principle determines the non-locality of quantum mechanics
- A derivation of quantum theory from physical requirements
- Local orthogonality as a multipartite principle for quantum correlations
- Full randomness from arbitrarily deterministic events
- Non-locality distillation and post-quantum theories with trivial communication complexity
- Recovering part of the quantum boundary from information causality
- Cloning and Broadcasting in Generic Probabilistic Theories
- Implications of Superstrong Nonlocality for Cryptography
- Non-signaling boxes and quantum logics
- Non-signalling theories and generalized probability