Experimental demonstration of the connection between quantum contextuality and graph theory
arXiv:1607.06633 · doi:10.1103/PhysRevA.94.012337
Abstract
We report a method that exploits a connection between quantum contextuality and graph theory to reveal any form of quantum contextuality in high-precision experiments. We use this technique to identify a graph which corresponds to an extreme form of quantum contextuality unnoticed before and test it using high-dimensional quantum states encoded in the linear transverse momentum of single photons. Our results open the door to the experimental exploration of quantum contextuality in all its forms, including those needed for quantum computation.
arXiv comment6 pages, 5 figures
References in corpus (30)
- Quantum Cryptography
- No Signalling and Quantum Key Distribution
- Contextuality supplies the magic for quantum computation
- A simple test for hidden variables in spin-1 system
- Experimentally testable state-independent quantum contextuality
- State-independent experimental test of quantum contextuality
- Graph-Theoretic Approach to Quantum Correlations
- Generation of maximally entangled states of qudits using twin photons
- State-independent proof of Kochen-Specker theorem with 13 rays
- State-independent quantum contextuality with single photons
- Wigner function negativity and contextuality in quantum computation on rebits
- Quantum key distribution session with 16-dimensional photonic states
- Universality of state-independent violation of correlation inequalities for noncontextual theories
- Experimental quantum tomography of photonic qudits via mutually unbiased basis
- Compatibility and noncontextuality for sequential measurements
- Necessary and Sufficient Conditions for Extended Noncontextuality in a Broad Class of Quantum Mechanical Systems
- Applying the simplest Kochen-Specker set for quantum information processing
- Five measurement bases determine pure quantum states on any dimension
- Simple method for experimentally testing any form of quantum contextuality
- Experimental fully contextual correlations
- Approaching Tsirelson's bound in a photon pair experiment
- Manipulating spatial qudit states with programmable optical devices
- Necessary and sufficient condition for quantum state-independent contextuality
- Basic exclusivity graphs in quantum correlations
- What does an experimental test of quantum contextuality prove or disprove?
- Necessary and sufficient conditions for state-independent measurement contextual scenarios
- Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
- Fast entanglement detection for unknown states of two spatial qutrits
- Quantum theory allows for absolute maximal contextuality
- Testing noncontextuality inequalities that are building blocks of quantum correlations
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- Measuring the Mermin-Peres magic square using an online quantum computer
- Twenty years of quantum contextuality at USTC