Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments
We study multiple-spin coherence transfers in linear Ising spin chains with nearest-neighbor couplings. These constitute a model for efficient information transfers in future quantum computing devices and for many multidimensional experiments for the assignment of complex spectra in nuclear magnetic...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/70463 |
| _version_ | 1826213278859132928 |
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| author | Nimbalka, Manoj Zeier, Robert Neves, Jorge L. Elavarasi, S. Begam Khaneja, Navin Dorai, Kavita Glaser, Steffen J. Yuan, Haidong |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Nimbalka, Manoj Zeier, Robert Neves, Jorge L. Elavarasi, S. Begam Khaneja, Navin Dorai, Kavita Glaser, Steffen J. Yuan, Haidong |
| author_sort | Nimbalka, Manoj |
| collection | MIT |
| description | We study multiple-spin coherence transfers in linear Ising spin chains with nearest-neighbor couplings. These constitute a model for efficient information transfers in future quantum computing devices and for many multidimensional experiments for the assignment of complex spectra in nuclear magnetic resonance spectroscopy. We complement prior analytic techniques for multiple-spin coherence transfers with a systematic numerical study where we obtain strong evidence that a certain analytically motivated family of restricted controls is sufficient for time optimality. In the case of a linear three-spin system, additional evidence suggests that prior analytic pulse sequences using this family of restricted controls are time optimal even for arbitrary local controls. In addition, we compare the pulse sequences for linear Ising spin chains to pulse sequences for more realistic spin systems with additional long-range couplings between nonadjacent spins. We experimentally implement the derived pulse sequences in three- and four-spin systems and demonstrate that they are applicable in realistic settings under relaxation and experimental imperfections—in particular—by deriving broadband pulse sequences which are robust with respect to frequency offsets. |
| first_indexed | 2024-09-23T15:46:32Z |
| format | Article |
| id | mit-1721.1/70463 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:46:32Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/704632022-10-02T03:59:19Z Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments Nimbalka, Manoj Zeier, Robert Neves, Jorge L. Elavarasi, S. Begam Khaneja, Navin Dorai, Kavita Glaser, Steffen J. Yuan, Haidong Massachusetts Institute of Technology. Department of Mechanical Engineering Yuan, Haidong Yuan, Haidong We study multiple-spin coherence transfers in linear Ising spin chains with nearest-neighbor couplings. These constitute a model for efficient information transfers in future quantum computing devices and for many multidimensional experiments for the assignment of complex spectra in nuclear magnetic resonance spectroscopy. We complement prior analytic techniques for multiple-spin coherence transfers with a systematic numerical study where we obtain strong evidence that a certain analytically motivated family of restricted controls is sufficient for time optimality. In the case of a linear three-spin system, additional evidence suggests that prior analytic pulse sequences using this family of restricted controls are time optimal even for arbitrary local controls. In addition, we compare the pulse sequences for linear Ising spin chains to pulse sequences for more realistic spin systems with additional long-range couplings between nonadjacent spins. We experimentally implement the derived pulse sequences in three- and four-spin systems and demonstrate that they are applicable in realistic settings under relaxation and experimental imperfections—in particular—by deriving broadband pulse sequences which are robust with respect to frequency offsets. Bavarian NMR Center (BNMRZ) Fonds der Chemischen Industrie (Germany) Quantum InterfacES, SENsors, and Communication based on Entanglement (Q-ESSENCE) Integrating Project Collaborative Research Centre 631 Deutsche Forschungsgemeinschaft (DFG) (Grant No. GL 203/6-1) Deutsche Forschungsgemeinschaft (DFG) (Grant No. SCHU 1374/2-1) 2012-04-27T18:14:26Z 2012-04-27T18:14:26Z 2012-01 2011-10 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/70463 Nimbalkar, Manoj et al. “Multiple-spin Coherence Transfer in Linear Ising Spin Chains and Beyond: Numerically Optimized Pulses and Experiments.” Physical Review A 85.1 (2012): Web. 27 Apr. 2012. © 2012 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.85.012325 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Nimbalka, Manoj Zeier, Robert Neves, Jorge L. Elavarasi, S. Begam Khaneja, Navin Dorai, Kavita Glaser, Steffen J. Yuan, Haidong Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title | Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title_full | Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title_fullStr | Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title_full_unstemmed | Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title_short | Multiple-spin coherence transfer in linear Ising spin chains and beyond: Numerically optimized pulses and experiments |
| title_sort | multiple spin coherence transfer in linear ising spin chains and beyond numerically optimized pulses and experiments |
| url | http://hdl.handle.net/1721.1/70463 |
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