Detection of entanglement with few local measurements

Abstract

We introduce a general method for the experimental detection of entanglement by performing only few local measurements, assuming some prior knowledge of the density matrix. The idea is based on the minimal decomposition of witness operators into a pseudo-mixture of local operators. We discuss an experimentally relevant case of two qubits, and show an example how bound entanglement can be detected with few local measurements.

5 pages + 1 figure

References in corpus (5)

• Induced measures in the space of mixed quantum states
• Entanglement enhanced information transmission over a quantum channel with correlated noise
• Experimental violation of a spin-1 Bell inequality using maximally-entangled four-photon states
• Reflections upon separability and distillability
• A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements

Cited by in corpus (169)

• Entanglement detection
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Witnessing multipartite entanglement
• Violation of local uncertainty relations as a signature of entanglement
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Entanglement as precondition for secure quantum key distribution
• Open-System Dynamics of Entanglement
• Experimental delayed-choice entanglement swapping
• Entanglement Detection in the Stabilizer Formalism
• Experimental investigation of the uncertainty principle in the presence of quantum memory
• Quantifying Entanglement with Witness Operators
• Concurrence of mixed multi-partite quantum states
• Experimental Detection of Entanglement with Polarized Photons
• Toolbox for entanglement detection and fidelity estimation
• Detection of multipartite entanglement in the vicinity of symmetric Dicke states
• Monogamy of quantum correlations - a review
• Measuring Controlled-NOT and two-qubit gate operation
• Multistage Entanglement Swapping
• Optimal verification of entangled states with local measurements
• Remote Entanglement between a Single Atom and a Bose-Einstein Condensate
• Relations between Entanglement Witnesses and Bell Inequalities
• Experimental observation of an entire family of four-photon entangled states
• Clean Positive Operator Valued Measures
• All entangled states can demonstrate non-classical teleportation
• Structural approximations to positive maps and entanglement breaking channels
• Multipartite entanglement detection via structure factors
• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• A study of LOCC-detection of a maximally entangled state using hypothesis testing
• Teleportation-based realization of an optical quantum two-qubit entangling gate
• Entanglement of Polarization and Orbital Angular Momentum
• Experimental estimation of entanglement at the quantum limit
• Investigating three qubit entanglement with local measurements
• Entanglement witness operator for quantum teleportation
• Entanglement Detection Based on Interference and Particle Counting
• Spectroscopy of cross-correlations of environmental noises with two qubits
• Complementarity and correlations
• Detecting two-party quantum correlations in quantum key distribution protocols
• Test for entanglement using physically observable witness operators and positive maps
• Direct measurement of concurrence for atomic two-qubit pure states
• Binegativity and geometry of entangled states in two qubits
• Representation of entanglement by negative quasi-probabilities
• Detecting entanglement using a double quantum dot turnstile
• A Robust Semidefinite Programming Approach to the Separability Problem
• Deep learning of quantum entanglement from incomplete measurements
• Group theoretical study of LOCC-detection of maximally entangled state using hypothesis testing
• Local commutativity versus Bell inequality violation for entangled states and versus non-violation for separable states
• The geometry of entanglement witnesses and local detection of entanglement
• Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states
• Bound entangled states violate a non-symmetric local uncertainty relation
• Witness of mixed separable states useful for entanglement creation
• Quasiprobability distributions for quantum-optical coherence and beyond
• Generation and detection of bound entanglement
• Experimental detection of quantum channel capacities
• Detecting Einstein-Podolsky-Rosen steering through entanglement detection
• Improved algorithm for quantum separability and entanglement detection
• Optimal estimation of entanglement in optical qubit systems
• Experimental generation of pseudo bound entanglement
• Multipartite entanglement detection for hypergraph states
• Proposal for direct measurement of concurrence via visibility in a cavity QED system
• Description of rank four PPT entangled states of two qutrits
• Quantum Separability and Entanglement Detection via Entanglement-Witness Search and Global Optimization
• Quantification of entanglement via uncertainties
• Entanglement dynamics of two-bipartite system under the influence of dissipative environments
• Detection of multipartite entanglement with two-body correlations
• Experimental Detection of Quantum Channels
• Optimal decomposable witnesses without the spanning property
• Entanglement witnesses and a loophole problem
• Quantifying geometric measure of entanglement by mean value of spin and spin correlations for pure and mixed states
• Quantum channel detection
• Measuring two-photon orbital angular momentum entanglement
• Non separable Werner states in spontaneous parametric down-conversion
• Accessible nonlinear entanglement witnesses
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
• Entanglement witnessing by arbitrarily many independent observers recycling a local quantum shared state
• Multiqubit entanglement witness
• Quantum verification and estimation with few copies
• Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
• Separability, entanglement and full families of commuting normal matrices
• Iterations of nonlinear entanglement witnesses
• Lower bounds for the fidelity of entangled state preparation
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Complete Quantum-State Tomography with a Local Random Field
• Optimal estimation of entanglement and discord in two-qubit states
• Generation of Werner states via collective decay of coherently driven atoms
• Mean of continuous variables observable {\it via} measurement on single qubit
• One-photon measurement of two-photon entanglement
• Quantifying entanglement with scattering experiments
• Minimal Entanglement Witness From Electrical Current Correlations
• High-dimensional entanglement certification
• Multipartite Entanglement Criterion from Uncertainty Relations
• Experimental generation of entanglement from classical correlations via non-unital local noise
• Characterizing mixed state entanglement through single-photon interference
• Parts and Wholes. An Inquiry into Quantum and Classical Correlations
• Quantum universal detectors
• Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states
• Randomized Graph States and their Entanglement Properties
• Estimating localizable entanglement from witnesses
• Discrete Fourier-based Correlations for Entanglement Detection
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Multi-qubit stabilizer and cluster entanglement witnesses
• Hyperentanglement witness
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Variational determination of multi-qubit geometrical entanglement in NISQ computers
• Entanglement detection on an NMR quantum information processor using random local measurements
• Entanglement detection for electrons via witness operators
• Automated Machine Learning can Classify Bound Entangled States with Tomograms
• Experimental entanglement verification and quantification via uncertainty relations
• Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs
• Detecting Entanglement of Unknown Quantum States with Random Measurements
• Optimal entanglement witnesses from limited local measurements
• Inertias of entanglement witnesses
• Local observables for entanglement witnesses
• State complexity and quantum computation
• Mapping the spatial distribution of entanglement in optical lattices
• Optimal Fidelity Witnesses for Gravitational Entanglement
• General entanglement
• Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement
• Construction of optimal teleportation witness operators from entanglement witnesses
• Characterizing Entanglement Sources
• Decay of Entanglement for Solid-State Qubits
• Efficient nonlinear witnessing of non-absolutely separable states with lossy detectors
• Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
• Characterizing entanglement with geometric entanglement witnesses
• Experimental linear-optics simulation of the ground state of an interacting quantum spin-ring
• Detection of entanglement during pure dephasing evolutions for systems and environments of any size
• Optimal Entanglement Witness for Cooper Pair Splitters
• Single-experiment-detectable multipartite entanglement witness for ensemble quantum computing
• Efficient entanglement generation and detection of generalized stabilizer states
• Absolute fully entangled fraction from spectrum
• Quantum privacy witness
• Detecting genuine multipartite entanglement in three-qubit systems with eternal non-Markovianity
• Genuine multipartite entanglement verification with convolutional neural networks
• Entanglement measurement based on two-particle interference
• Extracting an arbitrary relative phase from a multiqubit two-component entangled state
• Shor-Laflamme distributions of graph states and noise robustness of entanglement
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Inferring superposition and entanglement from measurements in a single basis
• Sharing EPR steering between sequential pairs of observers
• Group structures and representations of graph states
• Testing Quantum Dynamics using Signaling
• Computing finite-dimensional bipartite quantum separability
• Recovering quantum entanglement after its certification
• Noise resilience in path-polarization hyperentangled probe states
• Classical model for measurements of an entanglement witness
• Mixed-state certification of quantum capacities for noisy communication channels
• Witnessing entanglement in hybrid systems
• Quantitative entanglement witnesses of Isotropic- and Werner-class via local measurements
• Entanglement quantifiers and phase transitions
• A measurable entanglement criterion for two qubits
• Detection methods to rule out completely co-positive and bi-entangling operations
• Detection of properties and capacities of quantum channels
• Characterizing Entanglement via Uncertainty Relations
• Witnessing nonseparability of bipartite quantum operations
• Noise robustness in the detection of non separable random unitary maps
• Optimal observables to determine entanglement of a two qubit state
• Improved Tomographic Estimates by Specialised Neural Networks
• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation
• Experimental measurement and a physical interpretation of quantum shadow enumerators
• Non-Markovianity and entanglement detection
• Convicting emergent multipartite entanglement with evidence from a partially blind witness
• Direct measurement of atomic entanglement via cavity photon statistics
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
• High-dimensional entanglement between distant atomic ensemble memories
• Minimum Number of Copies in the Measurement of Multi-Photon Entanglement
• State-independent uncertainty relations on multipartite spin $1/2$-systems
• Detecting entanglement from few partial transpose moments and their decay via weight enumerators
• Unbounded entanglement-sustaining sequential local quantum state discrimination
• A Note on Quantum Separability
• Effect of the unpolarized spin state in spin-correlation measurement of two protons produced in the 12C(d,2He) reaction