Characterization of control noise effects in optimal quantum unitary dynamics

作     者：David Hocker Constantin Brif Matthew D. Grace Ashley Donovan Tak-San Ho Katharine Moore Tibbetts Rebing Wu Herschel Rabitz 

作者机构：Department of Chemistry Princeton University Princeton New Jersey 08544 USA Department of Scalable and Secure Systems Research Sandia National Laboratories Livermore California 94550 USA Center for Quantum Information and Control University of New Mexico Albuquerque New Mexico 87131 USA Department of Chemistry Temple University Philadelphia Pennsylvania 19122 USA Department of Automation Tsinghua University Center for Quantum Information Science and Technology TNList Beijing 100084 China 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：2014年第90卷第6期

页      面：062309-062309页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Lockheed Martin Corporation National Natural Science Foundation of China, (61134008, 61374091) National Nuclear Security Administration, (DE-AC04-94AL85000) National Science Foundation, (CHE-1058644, DGE 1148900) National Science Foundation, NSF, (1058644, 1148900) National Science Foundation, NSF 

主　　题：UNITARY dynamics NOISE control QUANTUM noise QUANTUM information science QUANTUM systems QUANTUM gates ROBUST control 

摘      要：This work develops measures for quantifying the effects of field noise upon targeted unitary transformations. Robustness to noise is assessed in the framework of the quantum control landscape, which is the mapping from the control to the unitary transformation performance measure (quantum gate fidelity). Within that framework, a geometric interpretation of stochastic noise effects naturally arises, where more robust optimal controls are associated with regions of small overlap between landscape curvature and the noise correlation function. Numerical simulations of this overlap in the context of quantum information processing reveal distinct noise spectral regimes that better support robust control solutions. This perspective shows the dual importance of both noise statistics and the control form for robustness, thereby opening up new avenues of investigation on how to mitigate noise effects in quantum systems.