Practically state-independent test of contextuality with 9 observables
arXiv:1207.1212 · doi:10.1103/PhysRevA.86.042125
Abstract
We propose a test of quantum contextuality for a single three-level system that uses nine projective measurements. It has a form of an inequality that has to be satisfied by any non-contextual theory and which is violated by any quantum state, except for the maximally mixed one. Due to the fact that there is only a single state that does not exhibit contextuality, it is natural to ask what the difference between state-independent tests and the one proposed here is.
3 pages, 1 figure
References in corpus (5)
- A simple test for hidden variables in spin-1 system
- Experimentally testable state-independent quantum contextuality
- Universality of state-independent violation of correlation inequalities for noncontextual theories
- An entropic approach to local realism and noncontextuality
- Entropic Test of Quantum Contextuality
Cited by in corpus (22)
- Necessary and sufficient condition for quantum state-independent contextuality
- Determining the parity of a permutation using an experimental NMR qutrit
- Converting contextuality into nonlocality
- Experimental observation of Hardy-like quantum contextuality
- Quantum key distribution protocol based on contextuality monogamy
- Quantum Contextuality
- Experimental demonstration of quantum contextuality on an NMR qutrit
- A proof of the Kochen-Specker theorem can always be converted to a state-independent noncontextuality inequality
- Monogamy inequality for entanglement and local contextuality
- Coexistence of Kochen-Specker inequalities and noncontextuality inequalities
- Majorana representation, qutrit Hilbert space and NMR implementation of qutrit gates
- Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
- An experimental proposal for revealing contextuality in almost all qutrit states
- The Degree of Quantum Contextuality in terms of Concurrence for the KCBS Scenario
- Simple state preparation for contextuality tests with few observables
- Kenfack Zyczkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit
- Revealing quantum contextuality using a single measurement device
- Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
- Characterizing high-dimensional quantum contextuality
- Graph-theoretic approach to dimension witnessing
- Quantum contextuality of a qutrit state
- Quantum Measurements Are Noncontextual