Detecting Genuine Multipartite Entanglement with Two Local Measurements

Abstract

We present entanglement witness operators for detecting genuine multipartite entanglement. These witnesses are robust against noise and require only two local measurement settings when used in an experiment, independent from the number of qubits. This allows detection of entanglement for an increasing number of parties without a corresponding increase in effort. The witnesses presented detect states close to GHZ, cluster and graph states. Connections to Bell inequalities are also discussed.

4 pages including 1 figure, revtex4; changes before publication in PRL; discussion about Mermin's inequality added in Ref. 22

References in corpus (22)

• Separability of Mixed States: Necessary and Sufficient Conditions
• Three qubits can be entangled in two inequivalent ways
• Persistent entanglement in arrays of interacting particles
• How to share a quantum secret
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Multi-party entanglement in graph states
• Conditions for a class of entanglement transformations
• Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
• Bell Inequalities and the Separability Criterion
• Optimization of entanglement witnesses
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• Witnessing multipartite entanglement
• Bell-type inequalities to detect true n-body non-separability
• Detection of entanglement with few local measurements
• Bell inequality, Bell states and maximally entangled states for n qubits
• Multiparticle entanglement purification for graph states
• Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
• Reflections upon separability and distillability
• Characterization of separable states and entanglement witnesses
• Sufficient conditions for three-particle entanglement and their tests in recent experiments
• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• Investigating three qubit entanglement with local measurements

Cited by in corpus (227)

• Quantum entanglement
• Entanglement detection
• Multi-photon entanglement and interferometry
• Experimental One-Way Quantum Computing
• Experimental entanglement of six photons in graph states
• Multipartite entanglement and high precision metrology
• High-speed linear optics quantum computing using active feed-forward
• Entanglement Certification $-$ From Theory to Experiment
• Experimental entanglement of a six-photon symmetric Dicke state
• Open-System Dynamics of Entanglement
• Experimental Analysis of a 4-Qubit Cluster State
• Entanglement Detection in the Stabilizer Formalism
• Quantifying Entanglement with Witness Operators
• Bell Inequalities for Graph States
• Quantitative entanglement witnesses
• Genuine 12-qubit entanglement on a superconducting quantum processor
• Estimating entanglement measures in experiments
• Quantum Hypergraph States
• Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
• Experimental demonstration of graph-state quantum secret sharing
• Toolbox for entanglement detection and fidelity estimation
• Detection of multipartite entanglement in the vicinity of symmetric Dicke states
• Experimental Verification of Multipartite Entanglement in Quantum Networks
• Optimal verification of entangled states with local measurements
• Experimental demonstration of a graph state quantum error-correction code
• Experimental Realization of Deutsch's Algorithm in a One-way Quantum Computer
• Experimental Entanglement and Nonlocality of a Two-Photon Six-Qubit Cluster State
• Multi-path entanglement of two photons
• Nonlinear entanglement witnesses
• Measurement-based quantum computation with trapped ions
• When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
• Partial separability and entanglement criteria for multiqubit quantum states
• Optimal entanglement witnesses based on local orthogonal observables
• Generation of high-fidelity four-photon cluster state and quantum-domain demonstration of one-way quantum computing
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Entanglement detection beyond the cross-norm or realignment criterion
• A resource theory of entanglement with a unique multipartite maximally entangled state
• Universal observable detecting all two-qubit entanglement and determinant based separability tests
• Experimental Realization of a Controlled-NOT Gate with Four-Photon Six-Qubit Cluster States
• Family of Bell-like inequalities as device-independent witnesses for entanglement depth
• Tri-partite Entanglement Witnesses and Sudden Death
• Entanglement Witnesses for Graph States: General Theory and Examples
• Experimental realization of a quantum game on a one-way quantum computer
• Computable and operationally meaningful multipartite entanglement measures
• Teleportation-based realization of an optical quantum two-qubit entangling gate
• Efficient Verification of Hypergraph States
• Multiphoton entanglement through a Bell multiport beam splitter
• Observation of Ten-photon Entanglement Using Thin BiB${}_3$O${}_6$ Crystals
• Optimal Verification of Two-Qubit Pure States
• Statistical Methods for Quantum State Verification and Fidelity Estimation
• Observable estimation of entanglement for arbitrary finite-dimensional mixed states
• Heisenberg-Weyl Observables: Bloch vectors in phase space
• Semidefinite programming relaxations for quantum correlations
• Entanglement detection in the vicinity of arbitrary Dicke states
• Optimal verification of general bipartite pure states
• Photonic source of heralded GHZ states
• Efficient verification of Dicke states
• Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
• Experimental Optimal Verification of Entangled States using Local Measurements
• Detecting multipartite entanglement structure with minimal resources
• Fusion of deterministically generated photonic graph states
• Lower bounds on entanglement measures from incomplete information
• Experimental few-copy multi-particle entanglement detection
• Constructing new optimal entanglement witnesses
• Bell correlations depth in many-body systems
• Optimal Verification of Greenberger-Horne-Zeilinger States
• Experimental Aspects of Indefinite Causal Order in Quantum Mechanics
• Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states
• Natural multiparticle entanglement in a Fermi gas
• A note on the optimality of decomposable entanglement witnesses and completely entangled subspaces
• Entanglement Structure: Entanglement Partitioning in Multipartite Systems and Its Experimental Detection Using Optimizable Witnesses
• Single-experiment-detectable nonclassical correlation witness
• Discriminating multi-partite entangled states
• Entanglement detection via tighter local uncertainty relations
• How to construct entanglement witnesses
• Quantum information processing with noisy cluster states
• Constructing entanglement witnesses for infinite-dimensional systems
• Optimal Detection of Entanglement in GHZ States
• Multipartite entanglement detection with minimal effort
• Measurement-device-independent randomness from local entangled states
• Ultrafine Entanglement Witnessing
• Increasing the statistical significance of entanglement detection in experiments
• Positive finite rank elementary operators and characterizing entanglement of states
• Towards the standardization of quantum state verification using optimal strategies
• Resource-efficient photonic quantum computation with high-dimensional cluster states
• Experimental Realization of a One-way Quantum Computer Algorithm Solving Simon's Problem
• Quantum Communication between Multiplexed Atomic Quantum Memories
• Constructing optimal entanglement witnesses. II
• Multipartite entanglement detection for hypergraph states
• On multipartite invariant states I. Unitary symmetry
• Verifying Genuine High-Order Entanglement
• Spectral conditions for entanglement witnesses vs. bound entanglement
• Chiral entanglement in triangular lattice models
• Separability problem for multipartite states of rank at most four
• A characterization of optimal entanglement witnesses
• Bell states diagonal entanglement witnesses
• Intrinsic phonon effects on analog quantum simulators with ultracold trapped ions
• Entanglement Classifier in Chemical Reactions
• Experimental Realization of the Deutsch-Jozsa Algorithm with a Six-Qubit Cluster State
• Design and Experimental Performance of Local Entanglement Witness Operators
• Detection of multipartite entanglement with two-body correlations
• Optimal entanglement witnesses from generalized reduction and Robertson maps
• Optimal decomposable witnesses without the spanning property
• Fast entanglement detection for unknown states of two spatial qutrits
• Quantum channel detection
• Magic of quantum hypergraph states
• Complete Entanglement Witness for Quantum Teleportation
• Characterizing correlation within multipartite quantum systems via local randomized measurements
• Addendum to "Sufficient conditions for three-particle entanglement and their tests in recent experiments"
• Identification of networking quantum teleportation on 14-qubit IBM universal quantum computer
• Quantum verification and estimation with few copies
• Detection and characterization of multipartite entanglement in optical lattices
• Genuine multipartite entanglement detection with imperfect measurements: concept and experiment
• Statistically significant tests of multiparticle quantum correlations based on randomized measurements
• Construction of multi-qubit optimal genuine entanglement witnesses
• Lower bounds for the fidelity of entangled state preparation
• Entanglement activation and the robustness of quantum correlations
• Quantum gate verification and its application in property testing
• Robust Self-Testing of Multiparticle Entanglement
• Extracting GHZ states from linear cluster states
• Entanglement Sudden Death as an Indicator of Fidelity in a Four-Qubit Cluster State
• Universally Optimal Verification of Entangled States with Nondemolition Measurements
• Superoperator Analysis of Entanglement in a Four-Qubit Cluster State
• Multipartite Entanglement Criterion from Uncertainty Relations
• Minimal Entanglement Witness From Electrical Current Correlations
• Numerical construction of multipartite entanglement witnesses
• Randomized Graph States and their Entanglement Properties
• Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states
• Experimental Realization of a Four-Photon Seven-Qubit Graph State for One-Way Quantum Computation
• Multi-Partite Entanglement Inequalities via Spin Vector Geometry
• Activation of metrologically useful genuine multipartite entanglement
• Discrete Fourier-based Correlations for Entanglement Detection
• Entanglement Witnesses and Characterizing Entanglement Properties of Some PPT States
• Entanglement detection on an NMR quantum information processor using random local measurements
• Hyperentanglement witness
• EPR-steering: closing the detection loophole with non-maximally entangled states and arbitrary low efficiency
• Phase-stable source of high-quality three-photon polarization entanglement by cascaded downconversion
• A Witness of Multipartite Entanglement Strata
• Bounding the amount of entanglement from witness operators
• Quantum computational advantage attested by nonlocal games with the cyclic cluster state
• Arboreal Bound Entanglement
• A scheme to create and verify scalable entanglement in optical lattice
• Fidelity measurement of a multiqubit cluster state with minimal effort
• Graphical description of unitary transformations on hypergraph states
• Detecting Entanglement of Unknown Quantum States with Random Measurements
• Entanglement of mixed macroscopic superpositions: an entangling-power study
• Mapping the spatial distribution of entanglement in optical lattices
• Efficient and robust detection of multipartite Greenberger-Horne-Zeilinger-like states
• On multipartite invariant states II. Orthogonal symmetry
• State complexity and quantum computation
• Experimental demonstration of a measurement-based realisation of a quantum channel
• Linear optical scheme to demonstrate genuine multipartite entanglement for single-particle W states
• Benchmarks of Nonclassicality for Qubit Arrays
• Decay of Entanglement for Solid-State Qubits
• Detecting genuine multipartite correlations in terms of the rank of coefficient matrix
• Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• A Hierarchy of Multipartite Correlations Based on Concentratable Entanglement
• Entanglement criterion via general symmetric informationally complete measurement
• Single-experiment-detectable multipartite entanglement witness for ensemble quantum computing
• Entangled-State Cycles of Atomic Collective-Spin States
• Efficient entanglement generation and detection of generalized stabilizer states
• Entanglement Structure Detection via Computer Vision
• Optimal Entanglement Witness for Cooper Pair Splitters
• Detection loophole in measurement-device-independent entanglement witness
• Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states
• Detect genuine multipartite entanglement in the one-dimensional transverse-field Ising model
• GHZ and W Entanglement Witnesses for the Non-interacting Fermi gas
• Genuine multipartite correlations in Dicke Superradiance
• Generation of genuine multipartite entangled states via indistinguishability of identical particles
• Detection of mixed bipartite entangled state in arbitrary dimension via structural physical approximation of partial transposition
• Genuine multipartite entanglement verification with convolutional neural networks
• Maximizing genuine multipartite entanglement of N mixed qubits
• Inequalities detecting entanglement for arbitrary bipartite systems
• Generation of graph-state streams
• Recurrent construction of optimal entanglement witnesses for 2N qubit systems
• Experimental optimal verification of three-dimensional entanglement on a silicon chip
• Entanglement witnesses for $d\otimes d$ systems and new classes of entangled qudit states
• Efficient verification of arbitrary entangled states with homogeneous local measurements
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• Storage of polarization-encoded cluster states in an atomic system
• Non-classicality of bright GHZ-like radiation of an optical parametric source
• High-dimentional Multipartite Entanglement Structure Detection with Low Cost
• Implementing Genuine Multi-Qubit Entanglement of Two-Level-System Inside a Superconducting Phase Qubit
• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Entanglement quantifiers and phase transitions
• Genuine entanglement detection via projection map in multipartite systems
• Scalable Determination of Multipartite Entanglement in Quantum Networks
• Detection of tripartite entanglement based on principal basis matrix representations
• Multiqubits Entanglement Based on Optimal Witness
• Entanglement detection and lower bound of convex-roof extension of negativity
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Witness based nonlinear detection of quantum entanglement
• Extremal entanglement witnesses
• Optimality of a class of entanglement witnesses for $3\otimes 3$ systems
• Observation of quantum nonlocality in Greenberger-Horne-Zeilinger entanglement on a silicon chip
• Many-body quantum resources of graph states
• Efficient generation of entangled multi-photon graph states from a single atom
• Entanglement detection via condition of quantum correlation
• Analysis of an experimental quantum logic gate by complementary classical operations
• Optimal observables to determine entanglement of a two qubit state
• Demonstration of teleportation across a quantum network code
• Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
• Generation and evaluation of multipartite entanglement with multi-rail encoding in linear optics networks
• Mirrored Entanglement Witnesses for Multipartite and High-Dimensional Quantum Systems
• Detecting Entanglement Generating Circuits in Cloud-Based Quantum Computing
• Detecting genuine multipartite entanglement in multi-qubit devices with restricted measurements
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Non-symmetric GHZ states: weighted hypergraph and controlled-unitary graph representations
• Quantum subspace verification for error correction codes
• Dynamic learning of pairwise and three-way entanglement
• How to fool the GHZ and W witnesses
• Exciton propagation via quantum walks based on non-Hermitian coin flip operations
• Separability bounds on multiqubit moments due to positivity under partial transpose
• Neural quantum states for entanglement depth certification from randomized Pauli measurements
• Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
• Hong-Ou-Mandel interference of more than 10 indistinguishable atoms
• Threetangle in the XY-model class with a non-integrable field background
• $4\times 4$ unextendible product basis and genuinely entangled space
• Bosonic fields in states with undefined particle numbers possess detectable non-contextuality features, plus more
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
• Efficient tomography of microwave photonic cluster states
• Minimum Number of Copies in the Measurement of Multi-Photon Entanglement
• Computable constraints on entanglement-sharing of multipartite quantum states
• On the correction of anomalous phase oscillation in entanglement witnesses using quantum neural networks
• Classical Communication Enhanced Quantum State Verification
• Entanglement witnesses for stabilizer states and subspaces beyond qubits
• Prescriptive preparation and verification of nonstabilizer states