Entanglement detection on an NMR quantum information processor using random local measurements

Abstract

Random local measurements have recently been proposed to construct entanglement witnesses and thereby detect the presence of bipartite entanglement. We experimentally demonstrate the efficacy of one such scheme on a two-qubit NMR quantum information processor. We show that a set of three random local measurements suffices to detect the entanglement of a general two-qubit state. We experimentally generate states with different amounts of entanglement, and show that the scheme is able to clearly witness entanglement. We perform complete quantum state tomography for each state and compute state fidelity to validate our results. Further, we extend previous results and perform a simulation using random local measurements to optimally detect bipartite entanglement in a hybrid system of $2\otimes 3$ dimensionality.

8 pages, 5 figures

References in corpus (13)

• Entanglement detection
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Taming multiparticle entanglement
• Quantifying Entanglement with Witness Operators
• Measuring bipartite quantum correlations of an unknown state
• Complete temporal characterization of a single photon
• Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
• Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments
• Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement
• Accessible nonlinear entanglement witnesses
• Experimental protection against evolution of states in a subspace via a super-Zeno scheme on an NMR quantum information processor
• Detecting Entanglement with Partial State Information