The signaling dimension of physical systems
arXiv:2210.15210 · doi:10.22331/qv-2022-08-25-66
Abstract
The signaling dimension of a physical system is the minimum dimension of a classical channel that can reproduce the set of input-output correlations attainable by the given system. Here we put the signaling dimension into perspective by reviewing some of the main known results on the topic, starting from Frenkel and Weiner's 2015 breakthrough showing that the signaling dimension of any quantum system is equal to its Hilbert space dimension.
arXiv comment6 pages, Perspective on P. Frenkel, Quantum 6, 751 (2022)
References in corpus (17)
- Device-independent tests of classical and quantum dimensions
- No-hypersignaling principle
- Classical information storage in an -level quantum system
- Structure of temporal correlations of a qubit
- Classical theories with entanglement
- Device-independent tests of quantum channels
- Device-independent tests of quantum measurements
- Classicality without local discriminability: decoupling entanglement and complementarity
- On entanglement assistance to a noiseless classical channel
- Communication tasks in operational theories
- Information storing yields a point-asymmetry of state space in general probabilistic theories
- Extension of the Alberti-Uhlmann criterion beyond qubit dichotomies
- Data-Driven Inference, Reconstruction, and Observational Completeness of Quantum Devices
- Data-Driven Inference of Physical Devices: Theory and Implementation
- Device-independent tests of quantum states
- Explicit construction of optimal witnesses for input-output correlations attainable by quantum channels
- Data-driven inference and observational completeness of quantum devices