Testing contextuality on quantum ensembles with one clean qubit

Abstract

We present a protocol to evaluate the expectation value of the correlations of measurement outcomes for ensembles of quantum systems, and use it to experimentally demonstrate--under an assumption of fair sampling--the violation of an inequality that is satisfied by any non-contextual hidden-variables (NCHV) theory. The experiment is performed on an ensemble of molecular nuclear spins in the solid state, using established Nuclear Magnetic Resonance (NMR) techniques for quantum information processing (QIP).

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• Classical systems can be contextual too: Analogue of the Mermin-Peres square
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• Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
• An experimental proposal for revealing contextuality in almost all qutrit states
• Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
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• NMR investigation of contextuality in a quantum harmonic oscillator via pseudospin mapping
• State-independent quantum violation of noncontextuality in four dimensional space using five observables and two settings
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• Measuring the Mermin-Peres magic square using an online quantum computer
• Enhanced non-macrorealism: Extreme violations of Leggett-Garg inequalities for a system evolving under superposition of unitaries
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• Construction of Three-Qubit Kochen-Specker Sets
• Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations