Highly-efficient estimation of entanglement measures for large experimentally created graph states via simple measurements
arXiv:1003.1681 · doi:10.1088/1367-2630/12/8/083026
Abstract
Quantifying experimentally created entanglement could in principle be accomplished by measuring the entire density matrix and calculating an entanglement measure of choice thereafter. Due to the tensor-structure of the Hilbert space, this approach becomes infeasible even for medium-size systems. In this letter we present methods to quantify the entanglement of arbitrarily large two-colorable graph states from simple measurements. The measurement data considered here is merely given by stabilizer measurements, thus leading to an exponential reduction in the number of measurements required. We provide analytical results for the robustness of entanglement and the relative entropy of entanglement.
References in corpus (13)
- Entanglement detection
- Experimental entanglement of six photons in graph states
- Experimental Analysis of a 4-Qubit Cluster State
- Quantitative entanglement witnesses
- Experimental realization of one-way quantum computing with two-photon four-qubit cluster states
- Estimating entanglement measures in experiments
- When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
- Entanglement and local information access for graph states
- A scalable, high-speed measurement-based quantum computer using trapped ions
- Open-system dynamics of graph-state entanglement
- Two-dimensional cluster-state preparation with linear ion traps
- Experimental Realization of Polarization Qutrits from Non-Maximally Entangled States
- Quantitative verification of entanglement and fidelities from incomplete measurement data
Cited by in corpus (7)
- Entanglement Witnesses for Graph States: General Theory and Examples
- Measuring entanglement in condensed matter systems
- Multipartite quantum nonlocality under local decoherence
- Estimating localizable entanglement from witnesses
- Quantum state reconstruction on Atom-Chips
- Optimal verification of entanglement in a photonic cluster state experiment
- Efficient entanglement length measurements for photonic cluster state sources