2017/08/21 by Min Jiang, Teng Wu, John W. Blanchard +3 · 62 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #Benchmarking #Coherent control #Controlled NOT gate #Heteronuclear molecule #NMR spectroscopy and applications #Pulse sequence #Quantum #Quantum computer #Quantum gate #Quantum sensor #Realization (probability) #physics.atom-ph #physics.chem-ph #quant-ph
paper · pdf · open access · doi:10.1126/sciadv.aar6327
published in Science Advances 4(6), eaar6327 (American Association for the Advancement of Science) · 19 pages, 3 figures
arxiv created 2017/08/21 · openalex publication_date 2018/06/01 · openalex created_date 2019/07/30 · arxiv updated 2022/03/01 · openalex updated_date 2026/08/05
Zero-field nuclear magnetic resonance (NMR) provides complementary analysis modalities to those of high-field NMR and allows for ultra-high-resolution spectroscopy and measurement of untruncated spin-spin interactions. Unlike for the high-field case, however, universal quantum control -- the ability to perform arbitrary unitary operations -- has not been experimentally demonstrated in zero-field NMR. This is because the Larmor frequency for all spins is identically zero at zero field, making it challenging to individually address different spin species. We realize a composite-pulse technique for arbitrary independent rotations of 1H and 13C spins in a two-spin system. Quantum-information-inspired randomized benchmarking and state tomography are used to evaluate the quality of the control. We experimentally demonstrate single-spin control for 13C with an average gate fidelity of 0.9960(2) and two-spin control via a controlled-not (CNOT) gate with an estimated fidelity of 0.99. The combination of arbitrary single-spin gates and a CNOT gate is sufficient for universal quantum control of the nuclear spin system. The realization of complete spin control in zero-field NMR is an essential step towards applications to quantum simulation, entangled-state-assisted quantum metrology, and zero-field NMR spectroscopy.