2018/03/07 by Joonwoo Bae, Beatrix C. Hiesmayr, Beatrix C Hiesmayr +1 · 41 citations
Computer Science · Physics and Astronomy · #Bipartite graph #Detector #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum state #Quantum tomography #Scheme (mathematics) #Set (abstract data type) #State (computer science) #quant-ph
paper · pdf · doi:10.1088/1367-2630/aaf8cf
published in New Journal of Physics 21(1), 013012 (IOP Publishing) · 16 pages, 4 figures
arxiv created 2018/03/07 · openalex created_date 2018/03/29 · openalex publication_date 2018/12/17 · arxiv updated 2019/01/30 · openalex updated_date 2026/08/05
We present an experimentally feasible and efficient method for detecting entangled states with measurements that extend naturally to a tomographically complete set. Our detection criterion for bipartite systems with equal dimensions is based on measurements from subsets of a quantum 2-design, e.g. mutually unbiased bases or symmetric informationally complete states, and has several advantages over standard entanglement witnesses. First, as more detectors in the measurement are applied, there is a higher chance of witnessing a larger set of entangled states, in such a way that the measurement setting converges to a complete setup for quantum state tomography. Secondly, our method is twice as effective as standard witnesses in the sense that both upper and lower bounds can be derived. Thirdly, the scheme can be readily applied to measurement-device-independent scenarios.