2016/06/30 by Tao Xin, Julen S. Pedernales, Lucas Lamata +4 · 9 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Computer science #Condensed matter physics #Correlation #Data mining #Linear response theory #Mathematics #Measure (data warehouse) #Nuclear magnetic resonance #Order (exchange) #Pauli exclusion principle #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum mechanics #Qubit #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Spins #Statistical physics #quant-ph
paper · pdf · doi:10.1038/s41598-017-13037-4
published in Scientific Reports 7(1), 12797 (Nature Portfolio) · 7 pages, 8 figures
openalex publication_date 2017/10/04 · arxiv created 2017/10/27 · arxiv updated 2017/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We measure multi-time correlation functions of a set of Pauli operators on a two-level system, which can be used to retrieve its associated linear response functions. The two-level system is an effective spin constructed from the nuclear spins of 1 H atoms in a solution of 13 C-labeled chloroform. Response functions characterize the linear response of the system to a family of perturbations, allowing us to compute physical quantities such as the magnetic susceptibility of the effective spin. We use techniques exported from quantum information to measure time correlations on the two-level system. This approach requires the use of an ancillary qubit encoded in the nuclear spins of the 13 C atoms and a sequence of controlled operations. Moreover, we demonstrate the ability of such a quantum platform to compute time-correlation functions of arbitrary order, which relate to higher-order corrections of perturbative methods. Particularly, we show three-time correlation functions for arbitrary times, and we also measure time correlation functions at fixed times up to tenth order.