Necessary and sufficient condition for quantum state-independent contextuality
arXiv:1501.03432 · doi:10.1103/PhysRevLett.114.250402
Abstract
We solve the problem of whether a set of quantum tests reveals state-independent contextuality and use this result to identify the simplest set of the minimal dimension. We also show that identifying state-independent contextuality graphs [R. Ramanathan and P. Horodecki, Phys. Rev. Lett. 112, 040404 (2014)] is not sufficient for revealing state-independent contextuality.
5 pages, 3 graphs
References in corpus (12)
- A simple test for hidden variables in spin-1 system
- Experimentally testable state-independent quantum contextuality
- State-independent experimental test of quantum contextuality
- State-independent quantum contextuality with single photons
- Preparation contextuality powers parity-oblivious multiplexing
- Simple explanation of the quantum violation of a fundamental inequality
- Wigner function negativity and contextuality in quantum computation on rebits
- Universality of state-independent violation of correlation inequalities for noncontextual theories
- Experimental implementation of a Kochen-Specker set of quantum tests
- Applying the simplest Kochen-Specker set for quantum information processing
- Exclusivity principle and the quantum bound of the Bell inequality
- Contextuality offers device-independent security