Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
arXiv:2211.00911 · doi:10.1103/PhysRevA.107.052617
Abstract
We present the generalized state-dependent entropic uncertainty relations in multiple measurements setting, and the optimal lower bound is obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement, and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to a physical system of two particles on a one-dimensional lattice, and GHZ-Werner state. It is shown that, for measurements that are not in mutually unbiased bases, this new entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. Furthermore, we conduct an online experiment to detect multipartite entanglement of GHZ states up to 10 qubits on Quafu cloud quantum computation platform. Our results might play important roles in detecting multipartite entanglement experimentally.
arXiv comment8 pages,4 figures
References in corpus (44)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- 14-qubit entanglement: creation and coherence
- Distillation of secret key and entanglement from quantum states
- The Uncertainty Principle in the Presence of Quantum Memory
- Entropic Uncertainty Relations and their Applications
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- A new proof for the existence of mutually unbiased bases
- 10-qubit entanglement and parallel logic operations with a superconducting circuit
- Tools for quantum simulation with ultracold atoms in optical lattices
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Entropic uncertainty relations - A survey
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Experimental investigation of the uncertainty principle in the presence of quantum memory
- Experimental investigation of the entanglement-assisted entropic uncertainty principle
- Detecting multiparticle entanglement of Dicke states
- Uncertainty relations from simple entropic properties
- General monogamy relation for the entanglement of formation in multiqubit systems
- Verifying Multipartite Entangled GHZ States via Multiple Quantum Coherences
- Entropic uncertainty relations for multiple measurements
- Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
- 16-qubit IBM universal quantum computer can be fully entangled
- Multipartite entanglement measures
- Entanglement in a 20-Qubit Superconducting Quantum Computer
- Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
- Optimized entropic uncertainty relations for multiple measurements
- An equality between entanglement and uncertainty
- Experimental test of non-macrorealistic cat-states in the cloud
- Estimating entanglement monotones with a generalization of the Wootters formula
- Multipartite Entanglement Measure and Complete Monogamy Relation
- Strong entropic uncertainty relations for multiple measurements
- Entanglement Structure: Entanglement Partitioning in Multipartite Systems and Its Experimental Detection Using Optimizable Witnesses
- Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
- Multipartite entanglement detection with minimal effort
- Device-independent detection of genuine multipartite entanglement for all pure states
- Entanglement detection in quantum many-body systems using entropic uncertainty relations
- Improved quantum entropic uncertainty relations
- Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
- Quantifying Tri-partite Entanglement with Entropic Correlations
- ScQ cloud quantum computation for generating Greenberger-Horne-Zeilinger states of up to 10 qubits
- Tight Bounds for the Entanglement of Formation of Gaussian States
- Deterministic one-way logic gates on a cloud quantum computer
- Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements
- Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation