2018/04/30 by James Schneeloch, Christopher C. Tison, Michael L. Fanto +2 · 2 citations
Computer Science · Physics and Astronomy · #Entanglement witness #Hilbert space #Multipartite entanglement #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum metrology #Quantum sensor #Quantum state #Quantum technology #Squashed entanglement #quant-ph
paper · pdf · doi:10.1038/s41467-019-10810-z
published as Nature Communications volume 10, Article number: 2785 (2019) · This is a post-peer review, pre-copyedit version of an article published in Nature Communications. The final authenticated version is available online at: http://dx.doi.org/10.1038/s41467-019-10810-z
openalex publication_date 2019/06/25 · arxiv created 2019/06/28 · arxiv updated 2019/07/01 · openalex created_date 2019/07/12 · openalex updated_date 2026/08/05
Abstract Entanglement is the powerful and enigmatic resource central to quantum information processing, which promises capabilities in computing, simulation, secure communication, and metrology beyond what is possible for classical devices. Exactly quantifying the entanglement of an unknown system requires completely determining its quantum state, a task which demands an intractable number of measurements even for modestly-sized systems. Here we demonstrate a method for rigorously quantifying high-dimensional entanglement from extremely limited data. We improve an entropic, quantitative entanglement witness to operate directly on compressed experimental data acquired via an adaptive, multilevel sampling procedure. Only 6,456 measurements are needed to certify an entanglement-of-formation of 7.11 ± .04 ebits shared by two spatially-entangled photons. With a Hilbert space exceeding 68 billion dimensions, we need 20-million-times fewer measurements than the uncompressed approach and 10 18 -times fewer measurements than tomography. Our technique offers a universal method for quantifying entanglement in any large quantum system shared by two parties.