State-independent experimental tests of quantum contextuality in a three dimensional system

Abstract

We experimentally observed state-independent violations of Kochen-Specker inequalities for the simplest indivisible quantum system manifesting quantum contextuality, a three-level (qutrit) system. We performed the experiment with a single trapped ^{171}Yb^{+} ion, by mapping three ground states of the ^{171}Yb^{+} ion to a qutrit system and carrying out quantum operatations by applying microwaves resonant to the qutrit transition frequencies. Our results are free from the detection loophole and cannot be explained by the non-contextual hidden variable models.

arXiv comment4 pages, 3 figures, 1 table

References in corpus (14)

• A simple test for hidden variables in spin-1 system
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Experimentally testable state-independent quantum contextuality
• State-independent experimental test of quantum contextuality
• Qudit Quantum State Tomography
• Experimental non-classicality of an indivisible quantum system
• Experimental test of quantum contextuality in neutron interferometry
• State-independent proof of Kochen-Specker theorem with 13 rays
• State-independent quantum contextuality with single photons
• Single-qubit-gate error below 10^-4 in a trapped ion
• Testing contextuality on quantum ensembles with one clean qubit
• Compatibility and noncontextuality for sequential measurements
• Optimal inequalities for state-independent contextuality
• State-independent experimental test of quantum contextuality in an indivisible system

Cited by in corpus (53)

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• Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
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• Native qudit entanglement in a trapped ion quantum processor
• Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
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• Sustained state-independent quantum contextual correlations from a single ion
• Geometry of Quantum Computation with Qutrits
• Kochen-Specker set with seven contexts
• The exclusivity principle forbids sets of correlations larger than the quantum set
• Quantum state-independent contextuality requires 13 rays
• Determining the parity of a permutation using an experimental NMR qutrit
• Converting contextuality into nonlocality
• Quantum computation and simulation with vibrational modes of trapped ions
• Nonlocality from local contextuality
• Significant-loophole-free test of Kochen-Specker contextuality using two species of atomic-ions
• Multipartite entanglement generation and contextuality tests using non-destructive three-qubit parity measurements
• Optimal classical simulation of state-independent quantum contextuality
• Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
• Time Reversal and Charge Conjugation in an Embedding Quantum Simulator
• Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
• Contextuality in phase space
• Experimental generalized contextuality with single-photon qubits
• Experimental Test of the Quantum Violation of the Noncontextuality Inequalities for the n-Cycle Scenario
• Proof of the Peres conjecture for contextuality
• Memory cost for simulating all quantum correlations of the Peres-Mermin scenario
• Randomness expansion secured by quantum contextuality
• Tests against noncontextual models with measurement disturbances
• Realization of Geometric Landau-Zener-Stückelberg Interferometry
• Entropic uncertainty relations with quantum memory in a multipartite scenario
• Coexistence of Kochen-Specker inequalities and noncontextuality inequalities
• Certifying sets of quantum observables with any full-rank state
• Multi-setting Greenberger-Horne-Zeilinger Paradoxes
• Contextuality and bundle diagrams
• Adaptive Compilation of Multi-Level Quantum Operations
• Experimental test of high-dimensional quantum contextuality based on contextuality concentration
• Optimal and tight Bell inequalities for state-independent contextuality sets
• Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
• Bounding quantum theory with the exclusivity principle in a two-city experiment
• Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
• Randomised benchmarking for universal qudit gates
• Compilation of Entangling Gates for High-Dimensional Quantum Systems
• Frequency stabilization of a 650 nm laser to I${}_2$ spectrum for trapped ${}^{138}$Ba${}^{+}$ ions
• Teleportation in an indivisible quantum system
• Construction of State-independent Proofs for Quantum Contextuality
• Bosonic Indistinguishability-Dependent Contextuality
• Experimental Test of Contextuality based on State Discrimination with a Single Qubit
• Experimentally ruling out joint reality based on operational completeness
• Experimental test of non-classicality of quantum mechanics using an individual atomic solid-state quantum system
• Demonstration of universal contextuality through communication games free of both operational inequivalence and compatibility loopholes
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases