Detecting Entanglement by State Preparation and Local Measurements

Abstract

Entanglement witnesses (EWs) are a collection of observables that can characterize separable states and, experimentally, estimating EWs can verify entangled states. In this work, we show that a fixed measurement setting on a multipartite entangled state, which we introduce as a network state for the purpose, can estimate EWs. Namely, entangled states can be fully verified in a measurement-based manner, in which experimenters do not necessarily change measurement settings. We present a fixed measurement setting and network states for estimating decomposable EWs, equivalent to the partial transpose criteria. We also consider non-decomposable EWs that detect bound entangled states beyond the partial transpose criteria. The results can be extended to multipartite states such as graph states, a resource for measurement-based quantum computing, and readily applied to distributed settings such as quantum metrology or sensor networks where multipartite entangled states are resourceful.

18 pages, 10 figures

References in corpus (46)

• Quantum entanglement
• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Three qubits can be entangled in two inequivalent ways
• Entanglement detection
• Device-independent security of quantum cryptography against collective attacks
• Scalable multi-particle entanglement of trapped ions
• Measurement-based quantum computation
• Multi-party entanglement in graph states
• Bell Inequalities and the Separability Criterion
• Optimization of entanglement witnesses
• Experimental entanglement of six photons in graph states
• Device-independent quantum key distribution secure against collective attacks
• Entanglement Certification $-$ From Theory to Experiment
• Entanglement purification and quantum error correction
• Multi-parameter estimation in networked quantum sensors
• Experimental delayed-choice entanglement swapping
• Experimental Analysis of a 4-Qubit Cluster State
• All Entangled Quantum States Are Nonlocal
• Evidence for Bound Entangled States with Negative Partial Transpose
• Distillability and partial transposition in bipartite systems
• Distributed Quantum Metrology and the Entangling Power of Linear Networks
• Entanglement witnesses: construction, analysis and classification
• A four-party unlockable bound-entangled state
• Optimal entanglement criterion for mixed quantum states
• Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
• Toolbox for entanglement detection and fidelity estimation
• All entangled states are useful for information processing
• Measurement-based quantum repeaters
• Entanglement verification and steering when Alice and Bob cannot be trusted
• A resource theory of quantum memories and their faithful verification with minimal assumptions
• Flexible resources for quantum metrology
• Experimental bound entanglement in a four-photon state
• Device-independent entanglement certification of all entangled states
• Entanglement Witnesses for Graph States: General Theory and Examples
• Quantum metrology with imperfect measurements
• Activating NPPT distillation with an infinitesimal amount of bound entanglement
• Experimental demonstration of measurement-device-independent measure of quantum steering
• Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
• Quantum and Super-quantum enhancements to two-sender, two-receiver channels
• One parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps
• Experimental Activation of Bound Entanglement
• A class of symmetric Bell diagonal entanglement witnesses - a geometric perspective
• Non-Local Network Coding in Interference Channels
• A class of Bell diagonal entanglement witnesses in ${\mathbb{C}}^4\otimes {\mathbb{C}}^4$: optimization and the spanning property
• Experimental demonstration of entanglement pumping with bosonic logical qubits