Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
arXiv:2108.12764 · doi:10.1103/PhysRevLett.129.190503
Abstract
Genuine multipartite entanglement represents the strongest type of entanglement, which is an essential resource for quantum information processing. Standard methods to detect genuine multipartite entanglement, e.g., entanglement witnesses, state tomography, or quantum state verification, require full knowledge of the Hilbert space dimension and precise calibration of measurement devices, which are usually difficult to acquire in an experiment. The most radical way to overcome these problems is to detect entanglement solely based on the Bell-like correlations of measurement outcomes collected in the experiment, namely, device-independently (DI). However, it is difficult to certify genuine entanglement of practical multipartite states in this way, and even more difficult to quantify it, due to the difficulty to identify optimal multipartite Bell inequalities and protocols tolerant to state impurity. In this work, we explore a general and robust DI method which can be applied to various realistic multipartite quantum state in arbitrary finite dimension, while merely relying on bipartite Bell inequalities. Our method allows us both to certify the presence of genuine multipartite entanglement and to quantify it. Several important classes of entangled states are tested with this method, leading to the detection of genuinely entangled states. We also certify genuine multipartite entanglement in weakly-entangled GHZ states, thus showing that the method applies equally well to less standard states.
References in corpus (51)
- Bell nonlocality
- Entanglement detection
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- Multi-photon entanglement and interferometry
- Experimental One-Way Quantum Computing
- Hacking commercial quantum cryptography systems by tailored bright illumination
- From Bell's Theorem to Secure Quantum Key Distribution
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
- Quantum state estimation
- Full-field implementation of a perfect eavesdropper on a quantum cryptography system
- Entanglement and Extreme Spin Squeezing
- Secure device-independent quantum key distribution with causally independent measurement devices
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Self-testing of quantum systems: a review
- Detecting Genuine Multipartite Entanglement with Two Local Measurements
- Randomness vs Non Locality and Entanglement
- Measure of genuine multipartite entanglement with computable lower bounds
- Experimental Analysis of a 4-Qubit Cluster State
- Device-independent witnesses of genuine multipartite entanglement
- Multi-particle entanglement and its applications to cryptography
- A self-testing quantum random number generator
- All Pure Bipartite Entangled States can be Self-Tested
- Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
- Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities
- Optimal verification of entangled states with local measurements
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Do all pure entangled states violate Bell's inequalities for correlation functions?
- Device-independent certification of entangled measurements
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- Full reconstruction of a 14-qubit state within four hours
- Device-independent bounds for Hardy's experiment
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- Scalable Bell inequalities for qubit graph states and robust self-testing
- Looking for symmetric Bell inequalities
- A study of LOCC-detection of a maximally entangled state using hypothesis testing
- Device-independent tomography of multipartite quantum states
- Experimental Optimal Verification of Entangled States using Local Measurements
- Gisin's Theorem for Arbitrary Dimensional Multipartite States
- Optimal Verification of Greenberger-Horne-Zeilinger States
- Entanglement verification with realistic measurement devices via squashing operations
- Completing the proof of "Generic quantum nonlocality"
- Device-independent detection of genuine multipartite entanglement for all pure states
- The standard fair sampling assumption is not necessary to test local realism
- Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States
- Complete proof of Gisin's theorem for three qubits
- Nonlocality of All Quantum Networks
- Entanglement detection by violations of noisy uncertainty relations: A proof of principle
- Experimental generation of a high-fidelity four-photon linear cluster state
- How post-selection affects device-independent claims under the fair sampling assumption