{"title":"Quantum Control Landscapes and Traps","authors":"B. O. Volkov, A. N. Pechen","doi":"10.1134/s1063739723600796","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Quantum control is a necessary tool for a variety of modern quantum technologies as it allows to optimally manipulate quantum systems for various tasks. Traps are points of local but not global optimum of the objective functional for a given quantum control problem. In a more general sense, traps are critical points of the objective functional which are hard to escape by local search algorithms. Here a review of some results of the analysis of possibility of having traps in landscapes of coherently controlled closed quantum systems is given. In one-qubit case, there are no traps. For special multilevel quantum systems, higher-order traps may appear.</p>","PeriodicalId":21534,"journal":{"name":"Russian Microelectronics","volume":"115 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Microelectronics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1063739723600796","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
Quantum control is a necessary tool for a variety of modern quantum technologies as it allows to optimally manipulate quantum systems for various tasks. Traps are points of local but not global optimum of the objective functional for a given quantum control problem. In a more general sense, traps are critical points of the objective functional which are hard to escape by local search algorithms. Here a review of some results of the analysis of possibility of having traps in landscapes of coherently controlled closed quantum systems is given. In one-qubit case, there are no traps. For special multilevel quantum systems, higher-order traps may appear.
期刊介绍：
Russian Microelectronics covers physical, technological, and some VLSI and ULSI circuit-technical aspects of microelectronics and nanoelectronics; it informs the reader of new trends in submicron optical, x-ray, electron, and ion-beam lithography technology; dry processing techniques, etching, doping; and deposition and planarization technology. Significant space is devoted to problems arising in the application of proton, electron, and ion beams, plasma, etc. Consideration is given to new equipment, including cluster tools and control in situ and submicron CMOS, bipolar, and BICMOS technologies. The journal publishes papers addressing problems of molecular beam epitaxy and related processes; heterojunction devices and integrated circuits; the technology and devices of nanoelectronics; and the fabrication of nanometer scale devices, including new device structures, quantum-effect devices, and superconducting devices. The reader will find papers containing news of the diagnostics of surfaces and microelectronic structures, the modeling of technological processes and devices in micro- and nanoelectronics, including nanotransistors, and solid state qubits.
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