Device-independent witnesses of genuine multipartite entanglement
arXiv:1102.0197 · doi:10.1103/PhysRevLett.106.250404
Abstract
We consider the problem of determining whether genuine multipartite entanglement was produced in an experiment, without relying on a characterization of the systems observed or of the measurements performed. We present an n-partite inequality that is satisfied by all correlations produced by measurements on biseparable quantum states, but which can be violated by n-partite entangled states, such as GHZ states. In contrast to traditional entanglement witnesses, the violation of this inequality implies that the state is not biseparable independently of the Hilbert space dimension and of the measured operators. Violation of this inequality does not imply, however, genuine multipartite non-locality. We show more generically how the problem of identifying genuine tripartite entanglement in a device-independent way can be addressed through semidefinite programming.
4 pages + appendices, 1 figure
References in corpus (13)
- Entanglement detection
- Device-independent security of quantum cryptography against collective attacks
- 14-qubit entanglement: creation and coherence
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Bounding the set of quantum correlations
- Taming multiparticle entanglement
- Experimental entanglement of a six-photon symmetric Dicke state
- Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
- Purification of genuine multipartite entanglement
- Local commutativity versus Bell inequality violation for entangled states and versus non-violation for separable states
- How many bits does it take to track an open quantum system?
- Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments"
- Achieving the physical limits of the bounded-storage model
Cited by in corpus (174)
- Bell nonlocality
- Fisher information and multiparticle entanglement
- Multipartite entanglement and high precision metrology
- Bilocal versus non-bilocal correlations in entanglement swapping experiments
- Genuine multipartite Einstein-Podolsky-Rosen steering
- Bell Correlations in a Bose-Einstein Condensate
- The definition of multipartite nonlocality
- Experimentally faking the violation of Bell's inequalities
- Entanglement witnesses: construction, analysis and classification
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Device-independent entanglement quantification and related applications
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Direct generation of three-photon polarization entanglement
- Quantum photonics at telecom wavelengths based on lithium niobate waveguides
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- Security of practical private randomness generation
- Experimental estimation of the dimension of classical and quantum systems
- Physical characterization of quantum devices from nonlocal correlations
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Multipartite entanglement detection from correlation tensors
- Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
- On nonlocality as a resource theory and nonlocality measures
- Air-core fiber distribution of hybrid vector vortex-polarization entangled states
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- Testing the Structure of Multipartite Entanglement with Bell Inequalities
- Criteria for genuine N-partite continuous variable entanglement and Einstein-Podolsky_Rosen steering
- Multipartite entanglement verification resistant against dishonest parties
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- Device-independent demonstration of genuine multipartite entanglement
- Classifying 50 years of Bell inequalities
- Witnessing Multipartite Entanglement without Entanglement Witness Operators
- Device-independent tomography of multipartite quantum states
- Negativity as a counter of entangled dimensions
- Detecting faked continuous variable entanglement using one-sided device-independent entanglement witnesses
- Causal hierarchy of multipartite Bell nonlocality
- Improved lower bounds on genuine-multipartite-entanglement concurrence
- Semidefinite programming relaxations for quantum correlations
- Device-independent point estimation from finite data and its application to device-independent property estimation
- Device-independent quantum key distribution secure against adversaries with no long-term quantum memory
- Noise-resistant device-independent certification of Bell state measurements
- Device-independent witnesses of entanglement depth from two-body correlators
- Four-qubit entangled symmetric states with positive partial transpositions
- Detection of genuine tripartite entanglement by multiple sequential observers
- Device-Independent Randomness Generation in the Presence of Weak Cross-Talk
- Correlations In n-local Scenario
- Probing quantum correlations in many-body systems: a review of scalable methods
- A framework for the study of symmetric full-correlation Bell-like inequalities
- Experimental demonstration of measurement-device-independent measure of quantum steering
- Characterizing finite-dimensional quantum behavior
- Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
- Device-independent certification of high-dimensional quantum systems
- Bell correlations depth in many-body systems
- Multisetting Bell-type inequalities for detecting genuine tripartite entanglement
- Characterization of quantum correlations with local dimension constraints and its device-independent applications
- Certifying experimental errors in quantum experiments
- Type-independent Characterization of Spacelike Separated Resources
- Entanglement detection with imprecise measurements
- How device-independent approaches change the meaning of physical theory
- Quantum nonlocality with arbitrary limited detection efficiency
- Quantum nonlocality with arbitrary limited detection efficiency
- Measure and detection of genuine multipartite entanglement for tripartite systems
- Device-independent detection of genuine multipartite entanglement for all pure states
- Genuine multipartite entanglement detection and lower bound of multipartite concurrence
- Analysing quantum systems with randomised measurements
- Quantifying multipartite nonlocality via the size of the resource
- Stability of encoded macroscopic quantum superpositions
- Measurement-device-independent quantification of entanglement for given Hilbert space dimension
- Optimization of device-independent witnesses of entanglement depth from two-body correlators
- Robust self-testing of two-qubit states
- Experimental multipartite entanglement and randomness certification of the W state in the quantum steering scenario
- Semi-device-independent characterisation of multipartite entangled states and measurements
- Decoherence Effects on the Non-locality of Symmetric States
- Multiparticle entanglement in graph-diagonal states: Necessary and sufficient conditions for four qubits
- Full multipartite steering inseparability, genuine multipartite steering and monogamy for continuous variable systems
- Randomness versus nonlocality in the Mermin-Bell experiment with three parties
- Bell tests for continuous variable systems using hybrid measurements and heralded amplifiers
- Violation of Bell's Inequality in Electromechanics
- Measurement Device Independent Verification of Quantum Channels
- Anonymous Quantum Nonlocality
- Nonlocality of and Dicke states subject to losses
- Bell inequalities for three systems and arbitrarily many measurement outcomes
- Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
- Genuine multipartite entanglement detection with imperfect measurements: concept and experiment
- Measurement dependent locality
- Tight upper bound for the maximal quantum value of the Svetlichny operators
- Nonlocality and Entanglement for Symmetric States
- Construction of multi-qubit optimal genuine entanglement witnesses
- Preservation of quantum non-bilocal correlations in noisy entanglement-swapping experiments using weak measurements
- Calibration robust entanglement detection beyond Bell inequalities
- Self-testing of multipartite GHZ states of arbitrary local dimension with arbitrary number of measurements per party
- Self-testing maximally-dimensional genuinely entangled subspaces within the stabilizer formalism
- Exploring Bell inequalities for the device-independent certification of multipartite entanglement depth
- Device-Independent Bit Commitment based on the CHSH Inequality
- Nontrilocality: Exploiting nonlocality from three particle systems
- Detecting nonlocality of noisy multipartite states with the CHSH inequality
- Exploring the framework of assemblage moment matrices and its applications in device-independent characterizations
- Generalized XOR games with outcomes and the task of non-local computation
- Detecting genuine multipartite entanglement in steering scenarios
- Mesoscopic two-mode entangled and steerable states of 40,000 atoms in a Bose-Einstein condensate interferometer
- Deep learning the hierarchy of steering measurement settings of qubit-pair states
- Bounding the amount of entanglement from witness operators
- Single-copy activation of Bell nonlocality via broadcasting of quantum states
- Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
- Quantum correlations on the no-signaling boundary: self-testing and more
- Custom Bell inequalities from formal sums of squares
- Quantum bounds on multiplayer linear games and device-independent witness of genuine tripartite entanglement
- Revealing Quantum Advantage in a Quantum Network
- Self-testing mutually unbiased bases in higher dimensions with space-division multiplexing optical fiber technology
- Quantifying the mesoscopic nature of the Einstein-Podolsky-Rosen nonlocality
- Criteria to detect genuine multipartite entanglement using spin measurements
- Construction of genuine multipartite entangled states
- Triple Compton effect: A photon splitting into three upon collision with a free electron
- Almost quantum correlations and their refinements in a tripartite Bell scenario
- Theoretical study of the Compton effect with correlated three-photon emission: From the differential cross section to high-energy triple-photon entanglement
- Violation of Bell's inequalities with pre-amplified homodyne detection
- Entanglement transitivity problems
- Complementarity of genuine multipartite non-locality
- A versatile construction of Bell inequalities for the multipartite scenario
- The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario
- Bounding the persistency of the nonlocality of W states
- Quantum Fisher information-based detection of genuine tripartite entanglement
- More non-locality in the three-qubit Greenberger-Horne-Zeilinger state
- Naturally restricted subsets of nonsignaling correlations: typicality and convergence
- Multipartite quantum cryptography based on the violation of Svetlichny's inequality
- Revealing Hidden Genuine Tripartite Nonlocality
- Detection of Genuine Multipartite Entanglement in Multipartite Systems
- Device-independent certification of multipartite entanglement using measurements performed in randomly chosen triads
- Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
- Necessary and sufficient conditions for multipartite Bell violations with only one trusted device
- Effects of preparation and measurement misalignments on the security of the BB84 quantum key distribution protocol
- Spin-spin correlations of entangled qubit pairs in the Bohm interpretation of quantum mechanics
- Maximizing genuine multipartite entanglement of N mixed qubits
- Noisy quantum input loophole in measurement-device-independent entanglement witnesses
- Local marginals ameliorate device independent witnessing of genuine entanglement
- Logical and inequality based contextuality for qudits
- Study of nonclassicality in tripartite correlations beyond standard Bell nonlocality paradigm
- Genuine Multipartite Entanglement induced by a Thermal Acoustic Reservoir
- Necessary conditions for classifying m-separability of multipartite entanglements
- Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices
- Self-testing quantum systems of arbitrary local dimension with minimal number of measurements
- Data-Driven Inference of Physical Devices: Theory and Implementation
- Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
- Tripartite genuinely entangled states from entanglement-breaking subspaces
- Criteria of genuine multipartite entanglement based on correlation tensors
- Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum States
- Self-testing composite measurements and bound entangled state in a single quantum network
- Hidden Steering Nonlocality in Quantum Networks
- Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
- A self-guide method to search maximal Bell violation for unknown quantum states
- Minimal criteria for continuous-variable genuine multipartite entanglement
- "All-versus-nothing" proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
- Hybrid of Gradient Descent And Semidefinite Programming for Certifying Multipartite Entanglement Structure
- Testing the Structure of Multipartite Entanglement with Hardy's Nonlocality
- Experimental Device-Independent Tests of Classical and Quantum Entropy
- Quantifying Multipartite Quantum Entanglement in a Semi-Device-Independent Manner
- Device-independent certification of desirable properties with a confidence interval
- Minimum Detection Efficiencies for Loophole-free Genuine Nonlocality Tests
- Measurement-device-independent nonlinear entanglement witnesses
- General spin systems without genuinely multipartite nonlocality
- Entanglement Structure Certification Based on Energy-Restricted State Discrimination
- Negative response with optical cavity and traveling wave fields
- Entanglement detection with scrambled data
- Uniform Entanglement Frames
- Protecting entanglement witnesses with randomized measurements
- Measurement-device-independent measure of steerability and witnesses for all steerable resources
- Characterizing multipartite entanglement by violation of CHSH inequalities
- Closing loopholes of measurement-device-independent nonlinear entanglement witnesses
- Maximally nonlocal subspaces
- Device-independent dimension test in a multiparty Bell experiment
- Multipartite entanglement vs nonlocality for two families of -qubit states
- Violation of Svetlichny's inequality in a system of spins
- Detection of genuine multipartite entanglement based on local sum uncertainty relations
- Quantifying measurement-induced nonbilocal correlation
- Multipartite steering verification with imprecise measurements