Experimentally testable state-independent quantum contextuality
arXiv:0808.2456 · doi:10.1103/PhysRevLett.101.210401
Abstract
We show that there are Bell-type inequalities for noncontextual theories that are violated by any quantum state. One of these inequalities between the correlations of compatible measurements is particularly suitable for testing this state-independent violation in an experiment.
REVTeX4, 4 pages, 1 figure
References in corpus (24)
- Hidden Variables and the Two Theorems of John Bell
- From Bell's Theorem to Secure Quantum Key Distribution
- A simple test for hidden variables in spin-1 system
- Bell-Kochen-Specker theorem: A proof with 18 vectors
- Violation of Bell's inequality: criterion for quantum communication complexity advantage
- Finite precision measurement nullifies the Kochen-Specker theorem
- Realization of All-or-nothing-type Kochen-Specker Experiment with Single Photons
- "All versus nothing" inseparability for two observers
- Bell's theorem without inequalities and without probabilities for two observers
- A feasible "Kochen-Specker" experiment with single particles
- Proposed experimental tests of the Bell-Kochen-Specker theorem
- Relations between Entanglement Witnesses and Bell Inequalities
- Non-Contextual Hidden Variables and Physical Measurements
- Simulating Quantum Mechanics by Non-Contextual Hidden Variables
- Proposed experiment for testing quantum contextuality with neutrons
- A Kochen-Specker inequality
- Quantum codewords contradict local realism
- Hidden-variable theorems for real experiments
- Quantum advantages in classically defined tasks
- Finite-precision measurement does not nullify the Kochen-Specker theorem
- Discriminating multi-partite entangled states
- Coloring the rational quantum sphere and the Kochen-Specker theorem
- Existential Contextuality and the Models of Meyer, Kent and Clifton
- Kochen-Specker theorem as a precondition for secure quantum key distribution
Cited by in corpus (237)
- State-independent experimental test of quantum contextuality
- Graph-Theoretic Approach to Quantum Correlations
- 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
- An experimental test of noncontextuality without unwarranted idealizations
- Kochen-Specker Contextuality
- A Combinatorial Approach to Nonlocality and Contextuality
- Testing contextuality on quantum ensembles with one clean qubit
- Simple explanation of the quantum violation of a fundamental inequality
- All noncontextuality inequalities for the n-cycle scenario
- Incompatible measurements in quantum information science
- Universality of state-independent violation of correlation inequalities for noncontextual theories
- Randomness in Quantum Mechanics: Philosophy, Physics and Technology
- Quantifying Contextuality
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- Compatibility and noncontextuality for sequential measurements
- Bounding the quantum dimension with contextuality
- Necessary and Sufficient Conditions for Extended Noncontextuality in a Broad Class of Quantum Mechanical Systems
- Strong Kochen-Specker theorem and incomputability of quantum randomness
- From the Kochen-Specker theorem to noncontextuality inequalities without assuming determinism
- State-independent experimental tests of quantum contextuality in a three dimensional system
- Experimental implementation of a Kochen-Specker set of quantum tests
- Optimal inequalities for state-independent contextuality
- Applying the simplest Kochen-Specker set for quantum information processing
- Memory cost of quantum contextuality
- State-independent experimental test of quantum contextuality in an indivisible system
- Quantum Theory and Determinism
- Entanglement and nonclassical properties of hypergraph states
- State independent contextuality advances one-way communication
- A Kochen-Specker inequality from a SIC
- Proposal for revealing quantum nonlocality via local contextuality
- A variant of the Kochen-Specker theorem localising value indefiniteness
- Quantum Correlations are Tightly Bound by the Exclusivity Principle
- Simple method for experimentally testing any form of quantum contextuality
- Robust self-testing of quantum systems via noncontextuality inequalities
- Sustained state-independent quantum contextual correlations from a single ion
- Contextuality without nonlocality in a superconducting quantum system
- Complete characterization of post-selected quantum statistics using weak measurement tomography
- All the noncontextuality inequalities for arbitrary prepare-and-measure experiments with respect to any fixed sets of operational equivalences
- Necessary and sufficient condition for quantum state-independent contextuality
- Kochen-Specker set with seven contexts
- The exclusivity principle forbids sets of correlations larger than the quantum set
- Quantum contextuality provides communication complexity advantage
- Optimal quantum preparation contextuality in -bit parity-oblivious multiplexing task
- Basic exclusivity graphs in quantum correlations
- Properties and Applications of the Kirkwood-Dirac Distribution
- Converting contextuality into nonlocality
- Proofs of the Kochen-Specker theorem based on a system of three qubits
- Fundamental phenomena of quantum mechanics explored with neutron interferometers
- Kochen-Specker theorem studied with neutron interferometer
- Quantum information processing in phase space: A modular variables approach
- Randomness amplification against no-signaling adversaries using two devices
- Greenberger-Horne-Zeilinger paradoxes from qudit graph states
- Nonlocality from local contextuality
- Leggett-Garg macrorealism and the quantum nondisturbance conditions
- 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
- Axiomatic approach to contextuality and nonlocality
- Optimal classical simulation of state-independent quantum contextuality
- Necessary and sufficient condition for contextuality from incompatibility
- Pentagrams and paradoxes
- Proposed experiments of qutrit state-independent contextuality and two-qutrit contextuality-based nonlocality
- Structure of temporal correlations of a qubit
- Necessary and sufficient conditions for state-independent measurement contextual scenarios
- Practically state-independent test of contextuality with 9 observables
- Synchronous observation of Bell nonlocality and state-dependent Kochen-Specker contextuality
- Classical Physics and the Bounds of Quantum Correlations
- State-independent quantum contextuality for continuous variables
- Proofs of the Kochen-Specker theorem based on the N-qubit Pauli group
- Minimal true-implies-false and true-implies-true sets of propositions in noncontextual hidden variable theories
- Classical causal models for Bell and Kochen-Specker inequality violations require fine-tuning
- Contextuality in phase space
- Mathematical Methods of Theoretical Physics
- Quantum key distribution protocol based on contextuality monogamy
- Experimental observation of impossible-to-beat quantum advantage on a hybrid photonic system
- Deriving robust noncontextuality inequalities from algebraic proofs of the Kochen-Specker theorem: the Peres-Mermin square
- Rotational covariance and GHZ contradictions for three or more particles of any dimension
- Proposed test of macroscopic quantum contextuality
- New Kochen-Specker Sets in Four Dimensions
- Causation does not explain contextuality
- Quantum correlations from simple assumptions
- Parity proofs of the Kochen-Specker theorem based on 60 complex rays in four dimensions
- Proof of the Peres conjecture for contextuality
- Multigraph approach to quantum non-locality
- Proposal of a two-qutrit contextuality test free of the finite precision and compatibility loopholes
- Geometric Phase in Entangled Systems: A Single-Neutron Interferometer Experiment
- Quantum information
- Experimental Demonstration of Quantum Pseudotelepathy
- Quantum Contextuality
- Modeling Leggett-Garg-inequality violation
- Testing sequential quantum measurements: how can maximal knowledge be extracted?
- Quantum Information Processing by Weaving Quantum Talbot Carpets
- A Quantum Random Number Generator Certified by Value Indefiniteness
- How much contextuality?
- Proposed direct test of a certain type of noncontextuality in quantum mechanics
- Quantum prescriptions are more ontologically distinct than they are operationally distinguishable
- Parity proofs of the Kochen-Specker theorem based on the Lie algebra E8
- Genuine temporal correlations can certify the quantum dimension
- Contextuality-by-Default description of Bell tests: Contextuality as the rule not as an exception
- Experimentally Probing the Algorithmic Randomness and Incomputability of Quantum Randomness
- Inequalities witnessing coherence, nonlocality, and contextuality
- Bell inequalities from variable elimination methods
- Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices
- Geometry of contextuality from Grothendieck's coset space
- Randomness expansion secured by quantum contextuality
- Contextuality in spin-orbit laser modes
- Tests against noncontextual models with measurement disturbances
- Gadget structures in proofs of the Kochen-Specker theorem
- What makes quantum clicks special?
- Single-photon quantum contextuality on a chip
- Contextuality and The Single-Qubit Stabilizer Formalism
- Contextuality, Coherences, and Quantum Cheshire Cats
- Two proposals for testing quantum contextuality of continuous-variable states
- On the violation of Lders bound of macrorealist and noncontextual inequalities
- Device-independent quantification of measurement incompatibility
- The extension problem for partial Boolean structures in Quantum Mechanics
- Classical causal models cannot faithfully explain Bell nonlocality or Kochen-Specker contextuality in arbitrary scenarios
- Counting Classical Nodes in Quantum Networks
- Parity proofs of the Kochen-Specker theorem based on the 120-cell
- Testing noncontextuality inequalities that are building blocks of quantum correlations
- Extensions of Hardy-type true-implies-false gadgets to classically obtain indistinguishability
- Bell non-locality and Kochen-Specker contextuality: How are they connected?
- A proof of the Kochen-Specker theorem can always be converted to a state-independent noncontextuality inequality
- Monogamy inequality for entanglement and local contextuality
- Unscrambling the Quantum Omelette
- Reformulating noncontextuality inequalities in an operational approach
- Critical noncolorings of the 600-cell proving the Bell-Kochen-Specker theorem
- Coexistence of Kochen-Specker inequalities and noncontextuality inequalities
- The Problem of Contextuality and the Impossibility of Experimental Metaphysics Thereof
- General conditions for maximal violation of non-contextuality in discrete and continuous variables
- Certifying sets of quantum observables with any full-rank state
- Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
- New Class of 4-Dim Kochen-Specker Sets
- Entropic tests of multipartite nonlocality and state-independent contextuality
- Testing quantum theory by generalizing noncontextuality
- Experimental entropic test of state-independent contextuality via single photons
- Simulating extremal temporal correlations
- Characterization of the non-classical relation between measurement outcomes represented by non-orthogonal quantum states
- State-independent contextuality with identical particles
- GHZ paradoxes based on an even number of qubits
- Classical systems can be contextual too: Analogue of the Mermin-Peres square
- Contextuality degree of quadrics in multi-qubit symplectic polar spaces
- Certifying Non-Classical Behavior for Negative Keldysh Quasi-Probabilities
- A variant of Peres-Mermin proof for testing noncontextual realist models
- Nonlocality, No-Signalling and Bell's Theorem investigated by Weyl's Conformal Differential Geometry
- Experimental demonstration of the connection between quantum contextuality and graph theory
- Contextuality and bundle diagrams
- Contextuality beyond the Kochen-Specker theorem
- Optimal and tight Bell inequalities for state-independent contextuality sets
- Unscrambling the Omelette of Quantum Contextuality (PART 1): Preexistent Properties or Measurement Outcomes?
- Quantum violation of entropic non-contextual inequality in four-dimension
- Simplest bipartite perfect quantum strategies
- Geometry of joint reality: device-independent steering and operational completeness
- Bounding quantum theory with the exclusivity principle in a two-city experiment
- Contextuality of Identical Particles
- On the tightness of correlation inequalities with no quantum violation
- Roots and (re)sources of value (in)definiteness versus contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)
- Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
- Gleason, Kochen-Specker, and a competition that never was
- Quantum realism and quantum surrealism
- Large violations in Kochen Specker contextuality and their applications
- Testing locality and noncontextuality with the lowest moments
- Classical predictions for intertwined quantum observables are contingent and thus inconclusive
- Quantitative relations between different measurement contexts
- Semi-device independent randomness certification using Mermin's proof of Kochen-Specker contextuality
- The rank of contextuality
- Simple state preparation for contextuality tests with few observables
- From the problem of Future Contingents to Peres-Mermin square experiments: An introductory review to Contextuality
- Quantum nonlocality via local contextuality with qubit-qubit entanglement
- Inequalities for complementarity in observed statistics
- New Examples of Kochen-Specker Type Configurations on Three Qubits
- Construction of State-independent Proofs for Quantum Contextuality
- NMR investigation of contextuality in a quantum harmonic oscillator via pseudospin mapping
- The Effect of Decoherence on the Contextual and Nonlocal Properties of a Biphoton
- Varieties of contextuality based on probability and structural nonembeddability
- The simplest Kochen-Specker set
- The problem of quantum correlations and the totalitarian principle
- Bertlmann's chocolate balls and quantum type cryptography
- Quantum contextuality for a three-level system sans realist model
- State-independent quantum violation of noncontextuality in four dimensional space using five observables and two settings
- Quantum contextuality for a relativistic spin-1/2 particle
- Irreducible magic sets for -qubit systems
- State-recycling method for testing contextuality
- Quantum contextuality in N-boson systems
- Quantum correlations with a gap between the sequential and spatial cases
- Quantum value indefiniteness
- Local hidden-variable model for a recent experimental test of quantum nonlocality and local contextuality
- State Independent Proof of Kochen-Specker Theorem with Thirty Rank-Two Projectors
- Connecting quantum contextuality and genuine multipartite nonlocality with the quantumness witness
- Experimental Test of Contextuality based on State Discrimination with a Single Qubit
- Bosonic Indistinguishability-Dependent Contextuality
- Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
- Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
- Lifting noncontextuality inequalities
- Tracing quantum correlations back to collective interferences
- Generalised Kochen-Specker Theorem for Finite Non-Deterministic Outcome Assignments
- Optimal Measurement Structures for Contextuality Applications
- Generalized event structures and probabilities
- Optimal conversion of Kochen-Specker sets into bipartite perfect quantum strategies
- Reexamination of the Kochen-Specker theorem: Relaxation of the completeness assumption
- Quantum contextuality of complementary photon polarizations explored by adaptive input state control
- All-Possible-Worlds: Unifying Many-Worlds and Copenhagen, in the Light of Quantum Contextuality
- Generalized Householder transformations
- Quantum Correlations in NMR systems
- Contextuality with disturbance and without: Neither can violate substantive requirements the other satisfies
- Measuring the Mermin-Peres magic square using an online quantum computer
- Bell nonlocality with intensity information only
- Characterizing high-dimensional quantum contextuality
- Contextuality and Nonlocality in Decaying Multipartite Systems
- How Random Is Quantum Randomness? An Experimental Approach
- Two fundamental solutions to the rigid Kochen-Specker set problem and the solution to the minimal Kochen-Specker set problem under one assumption
- Contextuality, Witness of Quantum Weirdness
- Three-Qubit-Embedded Split Cayley Hexagon is Contextuality Sensitive
- Demonstration of universal contextuality through communication games free of both operational inequivalence and compatibility loopholes
- Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions
- Experimental test of non-classicality of quantum mechanics using an individual atomic solid-state quantum system
- Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios
- Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
- Second Comment on "Contextuality within quantum mechanics manifested in subensemble mean values" [Phys. Lett. A 373 (2009) 3430]
- Graph-theoretic approach to dimension witnessing
- An operational notion of classicality based on physical principles
- Twenty years of quantum contextuality at USTC
- Bosonic fields in states with undefined particle numbers possess detectable non-contextuality features, plus more
- Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
- Hidden variables, free choice, context-independence, and all that
- Device-independent secure correlations in sequential quantum scenarios
- Graph theoretic quantum contextuality and unextendible Product Bases
- Quantifying coherence of quantum measurements
- Simultaneous All-versus-Nothing Refutation of Local Realism and Noncontextuality by a Single System
- Locating possible sources of physical indeterminism
- Construction of Three-Qubit Kochen-Specker Sets
- Contextuality, superlocality and nonclassicality of supernoncontextuality
- Revealing universal quantum contextuality through communication games
- Exploring Quantum Contextuality with the Quantum Moebius-Escher-Penrose hypergraph
- Haunted quantum contextuality versus value indefiniteness - a minority report